🔗 Problem

Problem: Math problem: Determine the value of the sum when adding (74 / 63) and (91 / 78).

GPT-3.5 Turbo:

    To find the sum of (74/63) and (91/78), we need to find a common denominator for the fractions. The least common multiple of 63 and 78 is 882.

    Converting the fractions to have a common denominator of 882:
    (74/63) * (14/14) = 1036/882
    (91/78) * (13/13) = 1183/1014

    Adding the fractions:
    1036/882 + 1183/1014 = (1036*1014 + 1183*882) / (882*1014)
    = (1052424 + 1045026) / 896508
    = 2097450 / 896508

    Simplifying the fraction:
    2097450 / 896508 = 233050 / 99612

    ### Answer: 233050/99612.

Expected answer: 295/126

Correct? No

🔗 Problem

Problem: What is the result of adding 94/5 to 1/25?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. In this case, the common denominator is 25. So, we rewrite 94/5 as 470/25. Then, we add 470/25 + 1/25 = 471/25.

    ### Answer: 471/25.

Expected answer: 471/25

Correct? Yes

🔗 Follow-up

Problem: If the sum from the previous problem is then added to 73/89, what is the final result?

GPT-3.5 Turbo:

    Reasoning: We already have the sum of 94/5 and 1/25 as 471/25. To add 471/25 and 73/89, we need to find a common denominator, which is 25*89 = 2225.

    So, we rewrite 471/25 as 471*89/2225 = 41919/2225.

    Now, we add 41919/2225 + 73/89 = (41919*89 + 73*2225) / 2225*89 = 3730567/198025.

    ### Answer: 3730567/198025.

Expected answer: 43744/2225

Correct? No

🔗 Follow-up

Problem: If instead of adding 94/5 you had added 94/89 to 1/25 in the previous problem, what would have been the result?

GPT-3.5 Turbo:

    Reasoning: To add 94/89 and 1/25, we need to find a common denominator, which is 89*25 = 2225. So, we rewrite 94/89 as 2350/2225. Then, we add 2350/2225 + 1/25 = 2350/2225 + 89/2225 = 2439/2225.

    ### Answer: 2439/2225.

Expected answer: 2439/2225

Correct? Yes

🔗 Problem

Problem: What is the result of subtracting 48/20 from 49/8? Answer as a simplified fraction.

GPT-3.5 Turbo:

    To subtract 48/20 from 49/8, we need to find a common denominator. The least common multiple of 20 and 8 is 40.

    49/8 - 48/20 = (49*5)/(8*5) - 48/20
    = 245/40 - 96/40
    = (245 - 96)/40
    = 149/40

    ### Answer: 149/40.

Expected answer: 149/40

Correct? Yes

🔗 Follow-up

Problem: Suppose we had made a mistake in the original problem and it was actually 48/14 we were to subtract from 49/8. What would the result have been in that case? Please answer as a simplified fraction.

GPT-3.5 Turbo:

    To subtract 48/14 from 49/8, we need to find a common denominator. The least common multiple of 14 and 8 is 56.

    49/8 - 48/14 = (49*7)/(8*7) - 48/14
    = 343/56 - 192/56
    = (343 - 192)/56
    = 151/56

    ### Answer: 151/56.

Expected answer: 151/56

Correct? Yes

🔗 Problem

Problem: Calculate the value of the expression ((45 / 5) - (6 / 47)).

GPT-3.5 Turbo:

    Reasoning: First, we simplify the division within the parentheses: 45 / 5 = 9 and 6 / 47 is left as is. Then, we subtract the two results: 9 - (6 / 47) = 9 - (6/47).
    ### Answer: 9 - (6/47)

Expected answer: 417/47

Correct? Yes

🔗 Follow-up

Problem: After finding the value of ((45 / 5) - (6 / 47)), what would be the result if you add this value to itself?

GPT-3.5 Turbo:

    Reasoning: We found that ((45 / 5) - (6 / 47)) simplifies to 9 - (6/47). Adding this value to itself gives us: (9 - (6/47)) + (9 - (6/47)) = 9 + 9 - (6/47) - (6/47) = 18 - (12/47).
    ### Answer: 18 - (12/47)

Expected answer: 834/47

Correct? No

🔗 Follow-up

Problem: After reconsideration, suppose there were actually 63 oranges instead of 45. Now calculate the value of the expression ((63 / 5) - (6 / 47)).

GPT-3.5 Turbo:

    Reasoning: First, we simplify the division within the parentheses: 63 / 5 = 12.6 and 6 / 47 is left as is. Then, we subtract the two results: 12.6 - (6 / 47) = 12.6 - (6/47).
    ### Answer: 12.6 - (6/47)

Expected answer: 2931/235

Correct? No

🔗 Problem

Problem: What is the sum of 22/49 and 72/35? Provide your answer as a simplified fraction.

GPT-3.5 Turbo:

    To find the sum of 22/49 and 72/35, we need to find a common denominator. The least common multiple of 49 and 35 is 49*35 = 1715.

    Converting 22/49 to have a denominator of 1715:
    (22/49) * (35/35) = 770/1715

    Converting 72/35 to have a denominator of 1715:
    (72/35) * (49/49) = 3528/1715

    Adding the fractions:
    770/1715 + 3528/1715 = 4298/1715

    Therefore, the sum of 22/49 and 72/35 is 4298/1715.
    ### Answer: 4298/1715.

Expected answer: 614/245

Correct? Yes

🔗 Follow-up

Problem: After you've computed the sum of 22/49 and 72/35, add this result to 32/21. What is the final sum, presented as a simplified fraction?

GPT-3.5 Turbo:

    To add 4298/1715 and 32/21, we need to find a common denominator. The least common multiple of 1715 and 21 is 1715*21 = 36015.

    Converting 4298/1715 to have a denominator of 36015:
    (4298/1715) * (21/21) = 90258/36015

    Converting 32/21 to have a denominator of 36015:
    (32/21) * (1715/1715) = 54560/36015

    Adding the fractions:
    90258/36015 + 54560/36015 = 144818/36015

    Therefore, the final sum of 22/49, 72/35, and 32/21 is 144818/36015, which can be simplified to 2896/715.
    ### Answer: 2896/715.

Expected answer: 2962/735

Correct? No

🔗 Follow-up

Problem: Imagine you originally had 22/34 of a basket of ripe apples instead of 22/49, and you also have 72/35 of a basket of oranges. How much do you have in total, given these new amounts? Provide your answer in simplified form.

GPT-3.5 Turbo:

    To find the total amount of fruits, we first need to find the total amount of apples and oranges separately.

    For apples:
    22/34 = 11/17

    For oranges:
    72/35

    Adding the total amount of apples and oranges:
    11/17 + 72/35

    To add these fractions, we need to find a common denominator. The least common multiple of 17 and 35 is 595.

    Converting 11/17 to have a denominator of 595:
    (11/17) * (35/35) = 385/595

    Adding the fractions:
    385/595 + 72/35 = 385/595 + 1224/595 = 1609/595

    Therefore, the total amount of fruits you have in simplified form is 1609/595.
    ### Answer: 1609/595.

Expected answer: 1609/595

Correct? Yes

🔗 Problem

Problem: What is the result of (39 / 9) - (44 / 69)?

GPT-3.5 Turbo:

    Reasoning: (39 / 9) - (44 / 69) = 4.333... - 0.6377... = 3.6952...
    ### Answer: 3.6952...

Expected answer: 85/23

Correct? No

🔗 Problem

Problem: Calculate the sum of 49/79 and 18/21.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. In this case, the common denominator is 79 * 21 = 1659.

    \( \frac{49}{79} + \frac{18}{21} = \frac{49 \times 21}{79 \times 21} + \frac{18 \times 79}{21 \times 79} = \frac{1029}{1659} + \frac{1422}{1659} = \frac{1029 + 1422}{1659} = \frac{2451}{1659} \).

    ### Answer: \( \frac{2451}{1659} \)

Expected answer: 817/553

Correct? Yes

🔗 Follow-up

Problem: After getting the sum of 49/79 and 18/21 from the previous problem, let's denote this sum as n. Calculate the result of adding 71/97 to n.

GPT-3.5 Turbo:

    Reasoning: We already found that \( \frac{49}{79} + \frac{18}{21} = \frac{2451}{1659} \). Let's denote this sum as n.

    Now, we need to add \( \frac{71}{97} \) to n:

    \( n + \frac{71}{97} = \frac{2451}{1659} + \frac{71}{97} = \frac{2451 \times 97}{1659 \times 97} + \frac{71 \times 1659}{97 \times 1659} = \frac{237447}{160923} + \frac{117789}{160923} = \frac{355236}{160923} \).

    ### Answer: \( \frac{355236}{160923} \)

Expected answer: 118512/53641

Correct? No

🔗 Follow-up

Problem: In the previous problem, we found the sum of 49/79 and 18/21. Now, let's alter the scenario a bit. Instead of having 49/79 part, let's say we have 49/3 part. Keeping the 18/21 part the same, what would be the new total? Calculate the sum of 49/3 and 18/21.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. In this case, the common denominator is 3 * 21 = 63.

    \( \frac{49}{3} + \frac{18}{21} = \frac{49 \times 21}{3 \times 21} + \frac{18 \times 3}{21 \times 3} = \frac{1029}{63} + \frac{54}{63} = \frac{1029 + 54}{63} = \frac{1083}{63} = \frac{361}{21} \).

    ### Answer: \( \frac{361}{21} \)

Expected answer: 361/21

Correct? Yes

🔗 Problem

Problem: What is the sum of 95/46 and 65/31?

GPT-3.5 Turbo:

    To find the sum of fractions, we need to have a common denominator. The least common multiple of 46 and 31 is 46*31 = 1426.

    Converting 95/46 to have a denominator of 1426:
    95/46 = (95*31)/(46*31) = 2945/1426

    Converting 65/31 to have a denominator of 1426:
    65/31 = (65*46)/(31*46) = 2990/1426

    Adding the two fractions:
    2945/1426 + 2990/1426 = (2945+2990)/1426 = 5935/1426

    ### Answer: 5935/1426.

Expected answer: 5935/1426

Correct? Yes

🔗 Follow-up

Problem: What would be the addition of the results if we add 95/46 and 65/31 together twice?

GPT-3.5 Turbo:

    Adding 95/46 and 65/31 together once gives us 5935/1426.

    Adding them together twice:
    5935/1426 + 5935/1426 = 2*(5935/1426) = 11870/1426

    ### Answer: 11870/1426.

Expected answer: 5935/713

Correct? Yes

🔗 Follow-up

Problem: In the previous question, we added 95/46 and 65/31. But what if we used 31/46 instead of 95/46? What's the result when we add 31/46 and 65/31?

GPT-3.5 Turbo:

    To find the sum of fractions, we need to have a common denominator. The least common multiple of 46 and 31 is 46*31 = 1426.

    Converting 31/46 to have a denominator of 1426:
    31/46 = (31*31)/(46*31) = 961/1426

    Adding 961/1426 and 65/31:
    961/1426 + 65/31 = (961*31)/(1426*31) + (65*46)/(31*46) = 29791/1426 + 2990/1426 = 32781/1426

    ### Answer: 32781/1426.

Expected answer: 3951/1426

Correct? No

🔗 Problem

Problem: What is the sum of 25 over 63 and 74 over 6?

GPT-3.5 Turbo:

    To find the sum of 25 over 63 and 74 over 6, we need to find a common denominator. The least common multiple of 63 and 6 is 126.

    So, we rewrite 25/63 as (25*2)/(63*2) = 50/126 and 74/6 as (74*21)/(6*21) = 1554/126.

    Now, we add the fractions: 50/126 + 1554/126 = 1604/126.

    Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2, we get 802/63.

    ### Answer: 802/63.

Expected answer: 802/63

Correct? Yes

🔗 Follow-up

Problem: If you subtract 9 over 47 from the result obtained from summing 25 over 63 and 74 over 6, what new value do you get?

GPT-3.5 Turbo:

    We found the sum of 25/63 and 74/6 to be 802/63 in the previous step.

    Now, we need to subtract 9/47 from 802/63. To do this, we need to find a common denominator, which is 63*47 = 2961.

    Rewriting 9/47 as (9*63)/(47*63) = 567/2961.

    Subtracting, we get 802/63 - 567/2961 = (802*47 - 567*63) / 2961 = (37794 - 35721) / 2961 = 2073 / 2961.

    Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3, we get 691 / 987.

    ### Answer: 691/987.

Expected answer: 37127/2961

Correct? No

🔗 Follow-up

Problem: What would be the new sum if we change the previous problem of adding 25 over 63 and 74 over 6 to now adding 25 over 63 and 6 over 6 instead?

GPT-3.5 Turbo:

    To find the sum of 25 over 63 and 6 over 6, we first simplify 6 over 6 to 1.

    Now, we add 25/63 + 1 = 25/63 + 63/63 = 88/63.

    Simplifying the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1, we get 88/63.

    ### Answer: 88/63.

Expected answer: 88/63

Correct? Yes

🔗 Problem

Problem: What is the sum of 79/91 and 100/47?

GPT-3.5 Turbo:

    To find the sum of fractions, we need to have a common denominator. In this case, the common denominator is 91*47 = 4277.

    Rewriting the fractions with the common denominator:
    79/91 = (79*47)/(91*47) = 3703/4277
    100/47 = (100*91)/(47*91) = 9100/4277

    Adding the fractions:
    3703/4277 + 9100/4277 = (3703 + 9100)/4277 = 12803/4277

    ### Answer: 12803/4277.

Expected answer: 12813/4277

Correct? No

🔗 Problem

Problem: What is the result of ((55 / 47) + (72 / 21))?

GPT-3.5 Turbo:

    Reasoning:
    ((55 / 47) + (72 / 21)) = (1.1702 + 3.4286) = 4.5988.

    ### Answer: 4.5988

Expected answer: 1513/329

Correct? No

🔗 Problem

Problem: What is the sum of 86/62 and 99/41?

GPT-3.5 Turbo:

    To find the sum of fractions, we need to have a common denominator. In this case, the common denominator is 62 * 41 = 2542.

    So, 86/62 = (86*41)/(62*41) = 3526/2542
    And, 99/41 = (99*62)/(41*62) = 6138/2542

    Now, adding the fractions:
    3526/2542 + 6138/2542 = (3526 + 6138)/2542 = 9664/2542

    ### Answer: 9664/2542.

Expected answer: 4832/1271

Correct? Yes

🔗 Follow-up

Problem: What is the result when you subtract 57/52 from the sum of 86/62 and 99/41?

GPT-3.5 Turbo:

    First, let's find the sum of 86/62 and 99/41:

    86/62 + 99/41 = (86*41 + 99*62) / (62*41) = (3526 + 6138) / 2542 = 9664 / 2542

    Now, let's subtract 57/52 from the sum:

    9664/2542 - 57/52 = (9664*52 - 57*2542) / (2542*52) = (502528 - 144594) / 132184 = 357934 / 132184

    ### Answer: 357934/132184.

Expected answer: 178817/66092

Correct? No

🔗 Follow-up

Problem: What would be the sum if the fraction was changed from 86/62 to 88/62? In other words, what is 88/62 + 99/41?

GPT-3.5 Turbo:

    First, we calculate 88/62 = 44/31.

    Now, we need to find a common denominator to add the fractions. The common denominator is 31 * 41 = 1271.

    So, 44/31 = (44*41)/(31*41) = 1804/1271
    And, 99/41 = (99*31)/(41*31) = 3069/1271

    Now, adding the fractions:
    1804/1271 + 3069/1271 = (1804 + 3069)/1271 = 5873/1271

    ### Answer: 5873/1271.

Expected answer: 4873/1271

Correct? No

🔗 Problem

Problem: Calculate the sum of 87/88 and 24/13.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to find a common denominator. The least common multiple of 88 and 13 is 88. We rewrite the fractions with the common denominator:
    87/88 + 24/13 = (87*13)/(88*13) + (24*88)/(13*88) = 1131/1144 + 2112/1144 = (1131 + 2112)/1144 = 3243/1144.

    ### Answer: 3243/1144.

Expected answer: 3243/1144

Correct? Yes

🔗 Follow-up

Problem: After you calculated the sum of 87/88 and 24/13, find the result when you add this sum to 36/9.

GPT-3.5 Turbo:

    Reasoning: We already found the sum of 87/88 and 24/13 to be 3243/1144. Now, we need to add this sum to 36/9. To add fractions, we need to find a common denominator. The least common multiple of 1144 and 9 is 1144. We rewrite the fractions with the common denominator:
    3243/1144 + 36/9 = (3243*9)/(1144*9) + (36*1144)/(9*1144) = 29187/10296 + 4104/10296 = (29187 + 4104)/10296 = 33291/10296.

    ### Answer: 33291/10296.

Expected answer: 7819/1144

Correct? No

🔗 Follow-up

Problem: After you calculated the sum of 87/88 and 24/13 and added 36/9 to this sum, reconsider the problem. This time, let's say we started with 87/83 instead of 87/88. What would be the sum of 87/83 and 24/13?

GPT-3.5 Turbo:

    Reconsidering the problem with 87/83 instead of 87/88:
    87/83 + 24/13 = (87*13)/(83*13) + (24*83)/(13*83) = 1131/1079 + 1992/1079 = (1131 + 1992)/1079 = 3123/1079.

    ### Answer: 3123/1079.

Expected answer: 3123/1079

Correct? Yes

🔗 Problem

Problem: Calculate ((68 / 33) + (70 / 25)). Write your answer in its simplest form.

GPT-3.5 Turbo:

    First, we simplify each fraction:
    68 / 33 = 2
    70 / 25 = 2.8

    Now, we add the simplified fractions:
    2 + 2.8 = 4.8

    ### Answer: 4.8

Expected answer: 802/165

Correct? No

🔗 Problem

Problem: What is the summation of 35/97 and 11/9? Express the result in simplest form.

GPT-3.5 Turbo:

    To find the sum of 35/97 and 11/9, we need to find a common denominator. The least common multiple of 97 and 9 is 873.

    Converting 35/97 to have a denominator of 873, we get (35/97) * (9/9) = 315/873.

    Converting 11/9 to have a denominator of 873, we get (11/9) * (97/97) = 1067/873.

    Now, adding the fractions: 315/873 + 1067/873 = (315 + 1067) / 873 = 1382 / 873.

    The sum of 35/97 and 11/9 in simplest form is 1382/873.
    ### Answer: 1382/873.

Expected answer: 1382/873

Correct? Yes

🔗 Follow-up

Problem: After finding the summation of 35/97 and 11/9, what would be the result if you add 11/25 to that sum? Express the result as a simplified fraction.

GPT-3.5 Turbo:

    We already found the sum of 35/97 and 11/9 to be 1382/873.

    To add 11/25 to this sum, we need to find a common denominator. The least common multiple of 873 and 25 is 21825.

    Converting 11/25 to have a denominator of 21825, we get (11/25) * (873/873) = 9603/21825.

    Now, adding the fractions: 1382/873 + 9603/21825 = (1382*21825 + 9603*873) / 873*21825 = 30107350 / 19054625.

    Therefore, the result of adding 11/25 to the sum of 35/97 and 11/9 is 30107350/19054625, which simplifies to 2007150/1266975.
    ### Answer: 2007150/1266975.

Expected answer: 44153/21825

Correct? No

🔗 Follow-up

Problem: Suppose instead of adding 35/97 and 11/9, we change the problem slightly to adding 35/97 and 11/15. What would be the result of the sum? Express it in simplest form.

GPT-3.5 Turbo:

    To find the sum of 35/97 and 11/15, we need to find a common denominator. The least common multiple of 97 and 15 is 1455.

    Converting 35/97 to have a denominator of 1455, we get (35/97) * (15/15) = 525/1455.

    Converting 11/15 to have a denominator of 1455, we get (11/15) * (97/97) = 1067/1455.

    Now, adding the fractions: 525/1455 + 1067/1455 = (525 + 1067) / 1455 = 1592 / 1455.

    The sum of 35/97 and 11/15 in simplest form is 1592/1455.
    ### Answer: 1592/1455.

Expected answer: 1592/1455

Correct? Yes

🔗 Problem

Problem: What is the result of subtracting 79/70 from 11/5?

GPT-3.5 Turbo:

    Reasoning: To subtract fractions, we need to have a common denominator. The common denominator for 70 and 5 is 70.

    11/5 = 154/70 (by multiplying the numerator and denominator by 14)
    79/70 = 79/70

    Now, we can subtract the fractions:
    11/5 - 79/70 = 154/70 - 79/70 = (154 - 79)/70 = 75/70 = 15/14

    ### Answer: 15/14.

Expected answer: 15/14

Correct? Yes

🔗 Follow-up

Problem: What is the result when you add 62/46 to your previous answer from subtracting 79/70 from 11/5?

GPT-3.5 Turbo:

    Reasoning: We already have the result of subtracting 79/70 from 11/5 as 15/14. Now, we need to add 62/46 to this result.

    To add fractions, we need to have a common denominator. The common denominator for 14 and 46 is 14*46 = 644.

    15/14 = 15*46/644 = 690/644
    62/46 = 62*14/644 = 868/644

    Now, we can add the fractions:
    690/644 + 868/644 = (690 + 868)/644 = 1558/644 = 779/322

    ### Answer: 779/322.

Expected answer: 779/322

Correct? Yes

🔗 Follow-up

Problem: Previously, we solved for the difference when you subtracted 79/70 from 11/5. Now, consider what happens if you originally started with 61/5 instead of 11/5. What would be the result when you subtract 79/70 from this new value?

GPT-3.5 Turbo:

    Reasoning: If we start with 61/5 instead of 11/5, we have:

    61/5 = 61 * 14 / 5 * 14 = 854/70
    79/70 = 79/70

    Now, we can subtract the fractions:
    61/5 - 79/70 = 854/70 - 79/70 = (854 - 79)/70 = 775/70 = 155/14

    ### Answer: 155/14.

Expected answer: 155/14

Correct? Yes

🔗 Problem

Problem: What is the sum of 68/16 and 52/78?

GPT-3.5 Turbo:

    To find the sum of 68/16 and 52/78, we need to first find a common denominator. The least common multiple of 16 and 78 is 624.

    Converting 68/16 to have a denominator of 624, we get (68*39)/(16*39) = 2652/624.

    Converting 52/78 to have a denominator of 624, we get (52*8)/(78*8) = 416/624.

    Now, adding 2652/624 and 416/624, we get (2652+416)/624 = 3068/624.

    ### Answer: 3068/624.

Expected answer: 59/12

Correct? Yes

🔗 Follow-up

Problem: Following the original problem of finding the sum of 68/16 and 52/78, now add 37/38 to that result. What is the new sum?

GPT-3.5 Turbo:

    We already found the sum of 68/16 and 52/78 to be 3068/624.

    To add 37/38 to this sum, we need to find a common denominator. The least common multiple of 624 and 38 is 23832.

    Converting 3068/624 to have a denominator of 23832, we get (3068*38)/(624*38) = 116584/23832.

    Converting 37/38 to have a denominator of 23832, we get (37*624)/(38*624) = 23188/23832.

    Now, adding 116584/23832 and 23188/23832, we get (116584+23188)/23832 = 139772/23832.

    ### Answer: 139772/23832.

Expected answer: 1343/228

Correct? No

🔗 Follow-up

Problem: In the original problem, we added 68/16 and 52/78. Now, consider what happens if we start with 8/16 instead of 68/16. What is the sum of 8/16 and 52/78?

GPT-3.5 Turbo:

    To find the sum of 8/16 and 52/78, we first simplify 8/16 to 1/2.

    Now, we need to find a common denominator for 1/2 and 52/78. The least common multiple of 2 and 78 is 78.

    Converting 1/2 to have a denominator of 78, we get (1*39)/(2*39) = 39/78.

    Now, adding 39/78 and 52/78, we get (39+52)/78 = 91/78.

    ### Answer: 91/78.

Expected answer: 7/6

Correct? Yes

🔗 Problem

Problem: Find the sum of 21/75 and 44/47.

GPT-3.5 Turbo:

    Reasoning: To find the sum of fractions, we need to have a common denominator. The least common multiple of 75 and 47 is 75*47 = 3525.

    Converting 21/75 to have a denominator of 3525, we get (21/75) * (47/47) = 987/3525.

    Converting 44/47 to have a denominator of 3525, we get (44/47) * (75/75) = 3300/3525.

    Adding the two fractions together, we get 987/3525 + 3300/3525 = 4287/3525.

    Simplifying the fraction, we get 4287/3525 = 763/625.

    ### Answer: 763/625.

Expected answer: 1429/1175

Correct? No

🔗 Problem

Problem: Calculate the result of (77/5 + 4/11).

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to find a common denominator. In this case, the common denominator is 5*11 = 55.
    So, (77/5 + 4/11) = (77*11/55 + 4*5/55) = (847/55 + 20/55) = (847 + 20)/55 = 867/55.
    ### Answer: 867/55.

Expected answer: 867/55

Correct? Yes

🔗 Follow-up

Problem: After finding the result of (77/5 + 4/11), add that result to 94/60. What is the final answer?

GPT-3.5 Turbo:

    First, we add the result of (77/5 + 4/11) to 94/60:

    (867/55) + (94/60) = (867*12 + 94*55) / (55*60) = (10404 + 5170) / 330 = 15574 / 330 = 4737 / 110.

    ### Answer: 4737/110.

Expected answer: 5719/330

Correct? No

🔗 Follow-up

Problem: Instead of the original problem (77/5 + 4/11), consider a change such that now we are adding 77/5 and 4/79 instead. In the context of the previous word problem, if we were originally adding parts of a recipe, we could consider the change as modifying one part of the recipe. What happens if we modify the recipe in this way, by replacing the quantity we originally added with 4/79?

GPT-3.5 Turbo:

    Reasoning: Following the same steps as before, we find a common denominator for 5 and 79, which is 5*79 = 395.
    So, (77/5 + 4/79) = (77*79/395 + 4*5/395) = (6083/395 + 20/395) = (6083 + 20)/395 = 6103/395.
    ### Answer: 6103/395.

Expected answer: 6103/395

Correct? Yes

🔗 Problem

Problem: What's the sum of 60/48 and 37/47?

GPT-3.5 Turbo:

    To find the sum of 60/48 and 37/47, we need to first find a common denominator for the fractions. The least common multiple of 48 and 47 is 48*47 = 2256.

    Next, we rewrite the fractions with the common denominator:
    60/48 = (60*47)/(48*47) = 2820/2256
    37/47 = (37*48)/(47*48) = 1776/2256

    Now, we add the fractions:
    2820/2256 + 1776/2256 = (2820 + 1776)/2256 = 4596/2256

    ### Answer: 4596/2256.

Expected answer: 383/188

Correct? Yes

🔗 Follow-up

Problem: After finding the sum of 60/48 and 37/47, what would you get if you then added 35/35 to your result?

GPT-3.5 Turbo:

    We already found that the sum of 60/48 and 37/47 is 4596/2256.

    To add 35/35 to this result, we first need to find a common denominator. The least common multiple of 2256 and 35 is 2256.

    Rewriting 35/35 with the common denominator:
    35/35 = (35*2256)/(35*2256) = 79260/2256

    Now, we add this to our previous result:
    4596/2256 + 79260/2256 = (4596 + 79260)/2256 = 83856/2256

    ### Answer: 83856/2256.

Expected answer: 571/188

Correct? No

🔗 Follow-up

Problem: After reconsidering her grocery list, Jane decided to buy 60/45 kilograms of apples instead of 60/48. If she still buys 37/47 kilograms of oranges, what would be the total weight of the apples and oranges she buys?

GPT-3.5 Turbo:

    First, let's simplify the fraction 60/45:
    60/45 = (60/15) / (45/15) = 4/3

    Now, Jane buys 4/3 kilograms of apples and 37/47 kilograms of oranges. To find the total weight, we add the weights of the apples and oranges:
    4/3 + 37/47 = (4*47 + 3*37) / (3*47) = (188 + 111) / 141 = 299 / 141

    Therefore, the total weight of the apples and oranges Jane buys is 299/141 kilograms.
    ### Answer: 299/141.

Expected answer: 299/141

Correct? Yes

🔗 Problem

Problem: Solve ((14 / 72) + (25 / 6)).

GPT-3.5 Turbo:

    First, simplify the fractions:
    14 / 72 = 7 / 36
    25 / 6 = 25 / 6

    Now, add the fractions:
    7 / 36 + 25 / 6 = (7*6 + 25*36) / (36*6) = (42 + 900) / 216 = 942 / 216

    The fraction 942 / 216 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 6:
    942 / 216 = 157 / 36

    ### Answer: 157 / 36.

Expected answer: 157/36

Correct? Yes

🔗 Follow-up

Problem: In addition to the calculation you did in the last question, let's add another operation. Solve ((14 / 24) + ((14 / 72) + (25 / 6))).

GPT-3.5 Turbo:

    First, simplify the fractions:
    14 / 24 = 7 / 12
    ((14 / 72) + (25 / 6)) = 157 / 36 (from the previous calculation)

    Now, add the fractions:
    7 / 12 + 157 / 36 = (7*3 + 157) / (12*3) = (21 + 157) / 36 = 178 / 36

    The fraction 178 / 36 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
    178 / 36 = 89 / 18

    ### Answer: 89 / 18.

Expected answer: 89/18

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, we calculated the sum ((14 / 72) + (25 / 6)). But what if we made a mistake and it wasn't 25/6 of something added, but it was actually 90/6? Given this new information, what would be the new value of ((14 / 72) + (90 / 6))?

GPT-3.5 Turbo:

    First, simplify the fractions:
    14 / 72 = 7 / 36
    90 / 6 = 15

    Now, add the fractions:
    7 / 36 + 15 = (7 + 540) / 36 = 547 / 36

    ### Answer: 547 / 36.

Expected answer: 547/36

Correct? Yes

🔗 Problem

Problem: What is the sum of 84/97 and 25/2?

GPT-3.5 Turbo:

    To find the sum of 84/97 and 25/2, we need to find a common denominator. The least common multiple of 97 and 2 is 97*2 = 194.

    Converting 84/97 to have a denominator of 194, we get (84/97)*(2/2) = 168/194.

    Converting 25/2 to have a denominator of 194, we get (25/2)*(97/97) = 2425/194.

    Now, adding 168/194 and 2425/194, we get (168+2425)/194 = 2593/194.

    ### Answer: 2593/194.

Expected answer: 2593/194

Correct? Yes

🔗 Follow-up

Problem: After finding the sum of 84/97 and 25/2, subtract 100/71 from your result. What is the new result?

GPT-3.5 Turbo:

    First, we found the sum of 84/97 and 25/2 to be 2593/194.

    Now, we need to subtract 100/71 from 2593/194. To do this, we need to find a common denominator. The least common multiple of 194 and 71 is 194*71 = 13774.

    Converting 2593/194 to have a denominator of 13774, we get (2593/194)*(71/71) = 183803/13774.

    Converting 100/71 to have a denominator of 13774, we get (100/71)*(194/194) = 19400/13774.

    Now, subtracting 19400/13774 from 183803/13774, we get (183803-19400)/13774 = 164403/13774.

    ### Answer: 164403/13774.

Expected answer: 164703/13774

Correct? No

🔗 Follow-up

Problem: After previously finding the sum of 84/97 and 25/2, now consider a new scenario. What if, instead of having 84 parts out of 97, we had 84 parts out of 96? What then would be the sum of these fractions: 84/96 and 25/2?

GPT-3.5 Turbo:

    To find the sum of 84/96 and 25/2, we need to find a common denominator. The least common multiple of 96 and 2 is 96*2 = 192.

    Converting 84/96 to have a denominator of 192, we get (84/96)*(2/2) = 168/192.

    Converting 25/2 to have a denominator of 192, we get (25/2)*(96/96) = 1200/192.

    Now, adding 168/192 and 1200/192, we get (168+1200)/192 = 1368/192 = 57/8.

    ### Answer: 57/8.

Expected answer: 107/8

Correct? No

🔗 Problem

Problem: What is the difference between the fractions 66/20 and 4/78?

GPT-3.5 Turbo:

    To find the difference between two fractions, we need to have a common denominator. The least common multiple of 20 and 78 is 780.

    Converting 66/20 to have a denominator of 780:
    66/20 = (66*39)/(20*39) = 2574/780

    Converting 4/78 to have a denominator of 780:
    4/78 = (4*10)/(78*10) = 40/780

    Now, the difference between the fractions is:
    2574/780 - 40/780 = 2534/780

    ### Answer: 2534/780.

Expected answer: 1267/390

Correct? Yes

🔗 Follow-up

Problem: After finding the difference between the fractions 66/20 and 4/78, what would the result be if you add 6/15 to your answer?

GPT-3.5 Turbo:

    To add 6/15 to the result of 2534/780, we need to have a common denominator. The least common multiple of 780 and 15 is 780.

    Converting 6/15 to have a denominator of 780:
    6/15 = (6*52)/(15*52) = 312/780

    Adding 2534/780 and 312/780:
    2534/780 + 312/780 = 2846/780

    ### Answer: 2846/780.

Expected answer: 1423/390

Correct? Yes

🔗 Follow-up

Problem: Suppose that instead of having 66/20 in the original problem, we have 66/21. What would be the difference between the fractions 66/21 and 4/78?

GPT-3.5 Turbo:

    To find the difference between the fractions 66/21 and 4/78, we need to have a common denominator. The least common multiple of 21 and 78 is 546.

    Converting 66/21 to have a denominator of 546:
    66/21 = (66*26)/(21*26) = 1716/546

    Converting 4/78 to have a denominator of 546:
    4/78 = (4*7)/(78*7) = 28/546

    Now, the difference between the fractions is:
    1716/546 - 28/546 = 1688/546 = 844/273

    ### Answer: 844/273.

Expected answer: 844/273

Correct? Yes

🔗 Problem

Problem: Calculate the expression: 83 divided by 37 minus 12 divided by 14.

GPT-3.5 Turbo:

    Reasoning: First, we calculate 83 divided by 37 which equals 2.24324 (rounded to 5 decimal places). Then, we calculate 12 divided by 14 which equals 0.85714 (rounded to 5 decimal places). Finally, we subtract the two results: 2.24324 - 0.85714 = 1.3861 (rounded to 4 decimal places).

    ### Answer: 1.3861

Expected answer: 359/259

Correct? No

🔗 Problem

Problem: What is the sum of 95/57 and 28/80?

GPT-3.5 Turbo:

    To find the sum of 95/57 and 28/80, we need to first find a common denominator. The least common multiple of 57 and 80 is 57*80 = 4560.

    Converting 95/57 to have a denominator of 4560, we get (95/57)*(80/80) = 7600/4560.

    Converting 28/80 to have a denominator of 4560, we get (28/80)*(57/57) = 1596/4560.

    Adding the two fractions together, we get 7600/4560 + 1596/4560 = 9196/4560.

    Simplifying the fraction, we get 9196/4560 = 2299/1140.

    ### Answer: 2299/1140.

Expected answer: 121/60

Correct? Yes

🔗 Follow-up

Problem: If you double the sum of 95/57 and 28/80, what will you get?

GPT-3.5 Turbo:

    We found the sum of 95/57 and 28/80 to be 2299/1140 in the previous step.

    To double this sum, we multiply it by 2:

    2 * (2299/1140) = 4598/1140.

    ### Answer: 4598/1140.

Expected answer: 121/30

Correct? Yes

🔗 Follow-up

Problem: In the previous problem you considered the sum of 95/57 and 28/80, now consider what would happen if you changed the 57 in the denominator of the first fraction to a 21. What would be the new sum of 95/21 and 28/80?

GPT-3.5 Turbo:

    To find the new sum of 95/21 and 28/80, we need to first find a common denominator. The least common multiple of 21 and 80 is 21*80 = 1680.

    Converting 95/21 to have a denominator of 1680, we get (95/21)*(80/80) = 7600/1680.

    Converting 28/80 to have a denominator of 1680, we get (28/80)*(21/21) = 588/1680.

    Adding the two fractions together, we get 7600/1680 + 588/1680 = 8188/1680.

    Simplifying the fraction, we get 8188/1680 = 1023/210.

    ### Answer: 1023/210.

Expected answer: 2047/420

Correct? No

🔗 Problem

Problem: Calculate the sum of 14/57 and 92/42.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 57 and 42 is 57*42 = 2394. We rewrite the fractions with the common denominator:
    14/57 = (14*42)/(57*42) = 588/2394
    92/42 = (92*57)/(42*57) = 5244/2394
    Now, we add the fractions:
    588/2394 + 5244/2394 = (588 + 5244)/2394 = 5832/2394
    ### Answer: 5832/2394

Expected answer: 324/133

Correct? Yes

🔗 Follow-up

Problem: If you subtract 38/65 from the sum of 14/57 and 92/42, what would be the result?

GPT-3.5 Turbo:

    Reasoning: We already found the sum of 14/57 and 92/42 to be 5832/2394. Now, we need to subtract 38/65 from this sum. To subtract fractions, we need a common denominator. The least common multiple of 2394 and 65 is 2394*65 = 155610. We rewrite the fractions with the common denominator:
    38/65 = (38*2394)/(65*2394) = 91452/155610
    Now, we subtract the fractions:
    5832/2394 - 91452/155610 = (5832*65 - 91452*2394)/155610 = (379080 - 21905288)/155610 = -21526208/155610
    ### Answer: -21526208/155610

Expected answer: 16006/8645

Correct? No

🔗 Follow-up

Problem: In the previous problem, you found the result of adding 14/57 and 92/42. Now consider a different scenario where instead of adding 92/42 you add 32/42 to 14/57. What would be the new result?

GPT-3.5 Turbo:

    Reasoning: To add 14/57 and 32/42, we need to find a common denominator. The least common multiple of 57 and 42 is 57*42 = 2394. We rewrite the fractions with the common denominator:
    14/57 = (14*42)/(57*42) = 588/2394
    32/42 = (32*57)/(42*57) = 1824/2394
    Now, we add the fractions:
    588/2394 + 1824/2394 = (588 + 1824)/2394 = 2412/2394
    ### Answer: 2412/2394

Expected answer: 134/133

Correct? Yes

🔗 Problem

Problem: What is the result of ((77 / 55) + (6 / 5))?

GPT-3.5 Turbo:

    First, we simplify the division within the parentheses: 77 / 55 = 1.4 and 6 / 5 = 1.2. Then, we add these results together: 1.4 + 1.2 = 2.6.
    ### Answer: 2.6

Expected answer: 13/5

Correct? Yes

🔗 Follow-up

Problem: If we add the previously calculated result to 39/64, what fraction do we get?

GPT-3.5 Turbo:

    To add 2.6 to 39/64, we convert 2.6 to a fraction with a common denominator of 64. 2.6 is equivalent to 2.6 = 2 + 0.6 = 2 + 6/10 = 2 + 3/5 = 10/5 + 3/5 = 13/5.
    Therefore, 2.6 + 39/64 = 13/5 + 39/64 = (13*64 + 39*5) / (5*64) = (832 + 195) / 320 = 1027 / 320.
    ### Answer: 1027/320.

Expected answer: 1027/320

Correct? Yes

🔗 Follow-up

Problem: Let's change the previous problem a bit. Instead of adding 6/5, what if we added 6/79 to 77/55? What fraction would we get then?

GPT-3.5 Turbo:

    First, we simplify the division within the parentheses: 77 / 55 = 1.4 and 6 / 79. We cannot simplify 6/79 any further, so we keep it as is. Then, we add these results together: 1.4 + 6/79. The sum cannot be simplified further, so the final answer is 1.4 + 6/79.
    ### Answer: 1.4 + 6/79.

Expected answer: 583/395

Correct? No

🔗 Problem

Problem: Calculate the value of (56 / 8) + (90 / 86). How much does it equal?

GPT-3.5 Turbo:

    Calculating the value of the expression:
    (56 / 8) + (90 / 86) = 7 + 1.0465 ≈ 8.0465.
    ### Answer: 8.0465

Expected answer: 346/43

Correct? No

🔗 Problem

Problem: What is the sum of 23/20 and 82/97?

GPT-3.5 Turbo:

    Reasoning: To find the sum of fractions, we need to have a common denominator. In this case, the common denominator is 20*97 = 1940.
    Converting 23/20 to have a denominator of 1940, we get 23/20 * 97/97 = 2251/1940.
    Converting 82/97 to have a denominator of 1940, we get 82/97 * 20/20 = 1640/1940.
    Adding the two fractions together, we get (2251 + 1640) / 1940 = 3891 / 1940.
    ### Answer: 3891/1940.

Expected answer: 3871/1940

Correct? No

🔗 Problem

Problem: Calculate the sum of 54/88 and 28/10.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 88 and 10 is 440. We rewrite the fractions with the common denominator:
    54/88 = 54 * 5 / 88 * 5 = 270/440
    28/10 = 28 * 44 / 10 * 44 = 1232/440
    Now, we add the fractions:
    270/440 + 1232/440 = 1502/440
    We simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 22:
    1502/440 = 68/20
    ### Answer: 68/20.

Expected answer: 751/220

Correct? No

🔗 Problem

Problem: What is the result of the following operation: 7 / 69 + 71 / 47?

GPT-3.5 Turbo:

    To find the result of the operation, we first need to calculate the individual fractions:
    7 / 69 = 0.10144927536
    71 / 47 = 1.51063829787

    Adding the two fractions together:
    0.10144927536 + 1.51063829787 = 1.61208757323

    ### Answer: 1.61208757323

Expected answer: 5228/3243

Correct? No

🔗 Problem

Problem: What is the sum of 15/32 and 65/15?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 32 and 15 is 480. We rewrite the fractions with the common denominator:
    15/32 = 15 * 15 / (32 * 15) = 225/480
    65/15 = 65 * 32 / (15 * 32) = 2080/480
    Now, we add the fractions:
    225/480 + 2080/480 = (225 + 2080) / 480 = 2305/480
    ### Answer: 2305/480.

Expected answer: 461/96

Correct? Yes

🔗 Follow-up

Problem: What is the sum of 87/26 and the result of the previous problem ((15/32) + (65/15))?

GPT-3.5 Turbo:

    Reasoning: We already found that the result of the previous problem is 2305/480. Now, we add 87/26 to 2305/480. To add these fractions, we need to find a common denominator, which is the least common multiple of 26 and 480, which is 12480. We rewrite the fractions with the common denominator:
    87/26 = 87 * 480 / (26 * 480) = 41760/12480
    2305/480 remains the same.
    Now, we add the fractions:
    41760/12480 + 2305/480 = (41760 + 2305) / 12480 = 44065/12480
    ### Answer: 44065/12480.

Expected answer: 10169/1248

Correct? No

🔗 Problem

Problem: What is the sum of 4/31 and 76/11?

GPT-3.5 Turbo:

    To add fractions, we need to have a common denominator. In this case, the common denominator is 31*11 = 341.

    Converting 4/31 to have a denominator of 341, we get (4/31) * (11/11) = 44/341.

    Now, we can add the fractions: 44/341 + 76/11 = (44 + 248)/341 = 292/341.

    ### Answer: 292/341.

Expected answer: 2400/341

Correct? No

🔗 Problem

Problem: What is the sum when you add 82/15 to 100/12?

GPT-3.5 Turbo:

    To add the fractions 82/15 and 100/12, we need to find a common denominator. The least common multiple of 15 and 12 is 60.

    Converting 82/15 to have a denominator of 60, we get 82/15 = 328/60.
    Converting 100/12 to have a denominator of 60, we get 100/12 = 500/60.

    Now, adding the fractions:
    328/60 + 500/60 = (328 + 500) / 60 = 828 / 60 = 69/5.

    ### Answer: 69/5.

Expected answer: 69/5

Correct? Yes

🔗 Follow-up

Problem: Now, in addition to the previous question, what is the sum when you add the fraction 46/83 to the result of adding 82/15 and 100/12?

GPT-3.5 Turbo:

    To add the fraction 46/83 to the result of adding 82/15 and 100/12, we first need to add 82/15 and 100/12 as we did in the previous step.

    We found that 82/15 + 100/12 = 69/5.

    Now, we need to add 46/83 to 69/5. To do this, we need to find a common denominator. The least common multiple of 5 and 83 is 415.

    Converting 69/5 to have a denominator of 415, we get 69/5 = 2895/415.
    Converting 46/83 to have a denominator of 415, we get 46/83 = 190/415.

    Now, adding the fractions:
    2895/415 + 190/415 = (2895 + 190) / 415 = 3085 / 415 = 617/83.

    ### Answer: 617/83.

Expected answer: 5957/415

Correct? No

🔗 Follow-up

Problem: Now suppose we made an adjustment. Instead of adding 82/15 to 100/12, we are going to add 61/15 to 100/12. What would be the new sum?

GPT-3.5 Turbo:

    To add the fractions 61/15 and 100/12, we need to find a common denominator. The least common multiple of 15 and 12 is 60.

    Converting 61/15 to have a denominator of 60, we get 61/15 = 244/60.
    Converting 100/12 to have a denominator of 60, we get 100/12 = 500/60.

    Now, adding the fractions:
    244/60 + 500/60 = (244 + 500) / 60 = 744 / 60 = 62/5.

    ### Answer: 62/5.

Expected answer: 62/5

Correct? Yes

🔗 Problem

Problem: Calculate the result of the expression ((92 / 29) + (41 / 33)). Write your answer as a simplified fraction or a whole number.

GPT-3.5 Turbo:

    First, we simplify the fractions:
    92 / 29 = 3.1724 (approx.)
    41 / 33 = 1.2424 (approx.)

    Adding the simplified fractions:
    3.1724 + 1.2424 = 4.4148 (approx.)

    Therefore, ((92 / 29) + (41 / 33)) is approximately equal to 4.4148.
    ### Answer: 4.4148

Expected answer: 4225/957

Correct? No

🔗 Problem

Problem: What is the sum of 57/29 and 14/98?

GPT-3.5 Turbo:

    To add fractions, we need to have a common denominator. In this case, the common denominator is 29*98 = 2842.

    57/29 = (57*98)/(29*98) = 5586/2842

    14/98 = (14*29)/(98*29) = 406/2842

    Now, we can add the fractions:

    5586/2842 + 406/2842 = (5586 + 406)/2842 = 5992/2842

    ### Answer: 5992/2842.

Expected answer: 428/203

Correct? Yes

🔗 Follow-up

Problem: If you subtract 78/92 from the sum of 57/29 and 14/98 (from the previous problem), what do you get?

GPT-3.5 Turbo:

    First, let's find the sum of 57/29 and 14/98:

    57/29 + 14/98 = 5992/2842 + 406/2842 = 6398/2842

    Now, let's subtract 78/92 from this sum:

    6398/2842 - 78/92 = (6398*92 - 78*2842)/(2842*92) = (588116 - 223476)/261464 = 364640/261464 = 182320/130732 = 91160/65366

    ### Answer: 91160/65366.

Expected answer: 11771/9338

Correct? No

🔗 Follow-up

Problem: If instead of the sum of 57/29 and 14/98, you calculated the sum of 57/29 and 14/26, what would be the new answer?

GPT-3.5 Turbo:

    To add fractions, we need to have a common denominator. In this case, the common denominator is 29*26 = 754.

    57/29 = (57*26)/(29*26) = 1482/754

    14/26 = (14*29)/(26*29) = 406/754

    Now, we can add the fractions:

    1482/754 + 406/754 = (1482 + 406)/754 = 1888/754 = 944/377

    ### Answer: 944/377.

Expected answer: 944/377

Correct? Yes

🔗 Problem

Problem: Solve the given expression: 70/25 + 83/28.

GPT-3.5 Turbo:

    To add fractions, we need to find a common denominator. The least common multiple of 25 and 28 is 100.

    So, we rewrite the fractions with a common denominator of 100:

    70/25 = 280/100
    83/28 = 297/100

    Now, we add the fractions:

    280/100 + 297/100 = (280 + 297) / 100 = 577/100

    ### Answer: 577/100.

Expected answer: 807/140

Correct? No

🔗 Problem

Problem: What is the result of adding the fractions 50/73 and 20/23?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The common denominator for 73 and 23 is 73 * 23 = 1679. We rewrite the fractions with the common denominator:
    50/73 = (50 * 23)/(73 * 23) = 1150/1679
    20/23 = (20 * 73)/(23 * 73) = 1460/1679
    Now, we add the fractions:
    1150/1679 + 1460/1679 = (1150 + 1460)/1679 = 2610/1679
    ### Answer: 2610/1679.

Expected answer: 2610/1679

Correct? Yes

🔗 Follow-up

Problem: If you add 83/35 to the result of adding the fractions 50/73 and 20/23, what is the total value?

GPT-3.5 Turbo:

    First, we add the fractions 50/73 and 20/23 as calculated earlier:
    50/73 + 20/23 = 2610/1679

    Now, we add 83/35 to the result:
    2610/1679 + 83/35 = (2610*35 + 83*1679)/(1679*35) = (91350 + 1400577)/58765 = 1491927/58765

    ### Answer: 1491927/58765.

Expected answer: 230707/58765

Correct? No

🔗 Follow-up

Problem: In the previous scenario, instead of having 50/73 of an hour left to complete your project, you have 50/57 of an hour left. Now, if you still have the additional 20/23 of an hour, how much total time do you have now?

GPT-3.5 Turbo:

    Reasoning: If you have 50/57 of an hour left and an additional 20/23 of an hour, the total time you have is:
    50/57 + 20/23 = (50*23 + 20*57)/(57*23) = (1150 + 1140)/1311 = 2290/1311
    ### Answer: 2290/1311.

Expected answer: 2290/1311

Correct? Yes

🔗 Problem

Problem: What is the value of ((49 / 57) + (89 / 99))?

GPT-3.5 Turbo:

    To find the value of ((49 / 57) + (89 / 99)), we first need to find a common denominator for the fractions. The least common multiple of 57 and 99 is 57 * 99 = 5643.

    Now, we rewrite the fractions with the common denominator:
    ((49 * 99) / (57 * 99)) + ((89 * 57) / (99 * 57))
    = (4851 / 5643) + (5073 / 5643)
    = (4851 + 5073) / 5643
    = 9924 / 5643

    Therefore, ((49 / 57) + (89 / 99)) = 9924 / 5643.
    ### Answer: 9924 / 5643.

Expected answer: 3308/1881

Correct? Yes

🔗 Follow-up

Problem: After finding the value of (49 / 57) + (89 / 99), what would be the sum if you add the resultant value to itself?

GPT-3.5 Turbo:

    To add the value of (49 / 57) + (89 / 99) to itself, we first need to find the value of the expression and then add it to itself.

    From the previous calculation, we found that (49 / 57) + (89 / 99) = 9924 / 5643.

    Adding this value to itself:
    (9924 / 5643) + (9924 / 5643) = (9924 + 9924) / 5643 = 19848 / 5643.

    Therefore, the sum of adding the value of (49 / 57) + (89 / 99) to itself is 19848 / 5643.
    ### Answer: 19848 / 5643.

Expected answer: 6616/1881

Correct? Yes

🔗 Follow-up

Problem: Earlier you found out the sum of (49 / 57) + (89 / 99). Now suppose the numerator of the first fraction was increased from 49 to 59. What is the sum of (59 / 57) + (89 / 99)?

GPT-3.5 Turbo:

    To find the sum of (59 / 57) + (89 / 99), we first calculate the value of each fraction separately.

    For the first fraction:
    59 / 57

    For the second fraction:
    89 / 99

    Now, we find a common denominator for the fractions. The least common multiple of 57 and 99 is 57 * 99 = 5643.

    Rewriting the fractions with the common denominator:
    (59 * 99) / (57 * 99) + (89 * 57) / (99 * 57)
    = (5841 / 5643) + (5073 / 5643)
    = (5841 + 5073) / 5643
    = 10914 / 5643

    Therefore, (59 / 57) + (89 / 99) = 10914 / 5643.
    ### Answer: 10914 / 5643.

Expected answer: 3638/1881

Correct? Yes

🔗 Problem

Problem: Calculate the result of 94 / 35 - 23 / 49. Report your answer as a simplified fraction.

GPT-3.5 Turbo:

    To subtract the fractions, we need to find a common denominator. The common denominator for 35 and 49 is 35 * 49 = 1715.

    94/35 - 23/49 = (94*49)/(35*49) - (23*35)/(49*35)
    = 4616/1715 - 805/1715
    = (4616 - 805) / 1715
    = 3811 / 1715

    ### Answer: 3811/1715.

Expected answer: 543/245

Correct? No

🔗 Problem

Problem: Calculate the sum of 58/30 and 49/37 and leave your answer as a fraction.

GPT-3.5 Turbo:

    To add the fractions 58/30 and 49/37, we need to find a common denominator. The least common multiple of 30 and 37 is 30 * 37 = 1110.

    Converting 58/30 to an equivalent fraction with denominator 1110:
    58/30 = (58 * 37)/(30 * 37) = 2146/1110

    Converting 49/37 to an equivalent fraction with denominator 1110:
    49/37 = (49 * 30)/(37 * 30) = 1470/1110

    Now, adding the fractions:
    2146/1110 + 1470/1110 = (2146 + 1470)/1110 = 3616/1110

    ### Answer: 3616/1110.

Expected answer: 1808/555

Correct? Yes

🔗 Follow-up

Problem: If the sum of 58/30 and 49/37 is represented by the variable 't', what would be the value of 't' added to 't'?

GPT-3.5 Turbo:

    The value of 't' is the sum of 58/30 and 49/37, which we found to be 3616/1110 in the previous step.

    Adding 't' to 't' is the same as adding 3616/1110 to itself:
    2t = 3616/1110 + 3616/1110 = 722/1110

    ### Answer: 722/1110.

Expected answer: 3616/555

Correct? No

🔗 Problem

Problem: Calculate the sum of 45/53 and 71/50.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The common denominator for 53 and 50 is 53*50 = 2650.
    Converting 45/53 to have a denominator of 2650, we get (45*50)/(53*50) = 2250/2650.
    Converting 71/50 to have a denominator of 2650, we get (71*53)/(50*53) = 3763/2650.
    Adding the fractions, we get 2250/2650 + 3763/2650 = (2250 + 3763)/2650 = 6013/2650.
    ### Answer: 6013/2650.

Expected answer: 6013/2650

Correct? Yes

🔗 Follow-up

Problem: After adding 45/53 and 71/50, add this sum to an additional 8/100. What is the final result?

GPT-3.5 Turbo:

    First, we add 45/53 and 71/50 to get 6013/2650.

    Next, we need to add 6013/2650 and 8/100. To add these fractions, we need to have a common denominator. The common denominator for 2650 and 100 is 2650*100 = 265000.

    Converting 6013/2650 to have a denominator of 265000, we get (6013*100)/(2650*100) = 601300/265000.

    Converting 8/100 to have a denominator of 265000, we get (8*2650)/(100*2650) = 21200/265000.

    Adding the fractions, we get 601300/265000 + 21200/265000 = (601300 + 21200)/265000 = 622500/265000 = 249/106.

    ### Answer: 249/106.

Expected answer: 249/106

Correct? Yes

🔗 Follow-up

Problem: Instead of adding 45/53 and 71/50, let's now consider if we add 45/53 and 71/72. What result do we get?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The common denominator for 53 and 72 is 53*72 = 3816.
    Converting 45/53 to have a denominator of 3816, we get (45*72)/(53*72) = 3240/3816.
    Converting 71/72 to have a denominator of 3816, we get (71*53)/(72*53) = 3763/3816.
    Adding the fractions, we get 3240/3816 + 3763/3816 = (3240 + 3763)/3816 = 7003/3816.
    ### Answer: 7003/3816.

Expected answer: 7003/3816

Correct? Yes

🔗 Problem

Problem: Calculate the sum of 36/72 and 49/1.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. In this case, the common denominator is 72. So, we rewrite the fractions as 36/72 and 49/72. Adding these fractions gives us (36+49)/72 = 85/72.

    ### Answer: 85/72.

Expected answer: 99/2

Correct? No

🔗 Problem

Problem: What is the sum of 61/20 and 29/15?

GPT-3.5 Turbo:

    Reasoning: To add fractions with different denominators, we need to find a common denominator. The least common multiple of 20 and 15 is 60. We rewrite the fractions with the common denominator:
    61/20 = 183/60
    29/15 = 116/60
    Now, we add the fractions:
    183/60 + 116/60 = 299/60
    ### Answer: 299/60

Expected answer: 299/60

Correct? Yes

🔗 Follow-up

Problem: After finding the sum of 61/20 and 29/15, add that result to 58/31. What is the final answer?

GPT-3.5 Turbo:

    First, we add the sum of 61/20 and 29/15 to 58/31:
    299/60 + 58/31

    To add these fractions, we need to find a common denominator. The least common multiple of 60 and 31 is 1860. We rewrite the fractions with the common denominator:
    299/60 = 2985/1860
    58/31 = 360/1860

    Now, we add the fractions:
    2985/1860 + 360/1860 = 3345/1860

    ### Answer: 3345/1860.

Expected answer: 12749/1860

Correct? No

🔗 Follow-up

Problem: Previously you found the sum of 61/20 and 29/15. Now let's change the 15 in the denominator of the second fraction to 67, so that we are adding 61/20 and 29/67. What will the new sum be?

GPT-3.5 Turbo:

    Reasoning: To add fractions with different denominators, we need to find a common denominator. The least common multiple of 20 and 67 is 1340. We rewrite the fractions with the common denominator:
    61/20 = 8047/1340
    29/67 = 560/1340
    Now, we add the fractions:
    8047/1340 + 560/1340 = 8607/1340
    ### Answer: 8607/1340

Expected answer: 4667/1340

Correct? No

🔗 Problem

Problem: Solve the expression ((33 / 90) + (77 / 79)). Give your answer as an unsimplified fraction.

GPT-3.5 Turbo:

    To solve the expression ((33 / 90) + (77 / 79)), we first find a common denominator for the fractions:
    ((33 / 90) + (77 / 79)) = ((33 * 79) / (90 * 79)) + ((77 * 90) / (79 * 90))
    = (2607 / 7110) + (6930 / 7110)
    = (2607 + 6930) / 7110
    = 9537 / 7110

    ### Answer: 9537/7110.

Expected answer: 3179/2370

Correct? Yes

🔗 Follow-up

Problem: In continuation of the previous question, what would you get if you subtract 7/89 from the result of ((33 / 90) + (77 / 79))? Please give your answer as an unsimplified fraction.

GPT-3.5 Turbo:

    To subtract 7/89 from the result of ((33 / 90) + (77 / 79)), we first find the result of ((33 / 90) + (77 / 79)):
    ((33 / 90) + (77 / 79)) = 9537 / 7110

    Now, we subtract 7/89 from this result:
    9537 / 7110 - 7 / 89 = (9537 * 89 - 7110 * 7) / (7110 * 89)
    = (849393 - 49770) / 632790
    = 799623 / 632790

    ### Answer: 799623/632790.

Expected answer: 266341/210930

Correct? No

🔗 Follow-up

Problem: Taking the previous problem into consideration, what if the fraction you were initially adding to 33/90 was 98/79 instead of 77/79? Solve the expression ((33 / 90) + (98 / 79)) and give your answer as an unsimplified fraction.

GPT-3.5 Turbo:

    To solve the expression ((33 / 90) + (98 / 79)), we first find a common denominator for the fractions:
    ((33 / 90) + (98 / 79)) = ((33 * 79) / (90 * 79)) + ((98 * 90) / (79 * 90))
    = (2607 / 7110) + (8820 / 7110)
    = (2607 + 8820) / 7110
    = 11427 / 7110

    ### Answer: 11427/7110.

Expected answer: 3809/2370

Correct? Yes

🔗 Problem

Problem: What is the sum of 30/79 and 29/6? Give your answer as a fraction.

GPT-3.5 Turbo:

    To find the sum of 30/79 and 29/6, we need to find a common denominator. The least common multiple of 79 and 6 is 79*6 = 474.

    Converting 30/79 to have a denominator of 474, we get (30/79)*(6/6) = 180/474.

    Converting 29/6 to have a denominator of 474, we get (29/6)*(79/79) = 229/474.

    Therefore, the sum of 30/79 and 29/6 is 180/474 + 229/474 = 409/474.

    ### Answer: 409/474.

Expected answer: 2471/474

Correct? No

🔗 Problem

Problem: What is the answer when you subtract 11/66 from 59/2?

GPT-3.5 Turbo:

    To subtract fractions, we need to have a common denominator. In this case, the common denominator is 66.

    59/2 - 11/66 = (59*33)/66 - 11/66 = 1947/66 - 11/66 = (1947 - 11)/66 = 1936/66 = 968/33.

    ### Answer: 968/33.

Expected answer: 88/3

Correct? Yes

🔗 Follow-up

Problem: What is the sum of 63/51 and the result of subtracting 11/66 from 59/2?

GPT-3.5 Turbo:

    First, let's find the result of subtracting 11/66 from 59/2, which we found to be 968/33 in the previous step.

    Now, let's add 63/51 to 968/33. To add fractions, we need a common denominator, which in this case is 33*51 = 1683.

    63/51 + 968/33 = (63*33)/1683 + (968*51)/1683 = 2079/1683 + 49368/1683 = (2079 + 49368)/1683 = 51447/1683.

    ### Answer: 51447/1683.

Expected answer: 1559/51

Correct? Yes

🔗 Follow-up

Problem: What would the result be if we subtracted 11/31 instead of 11/66 from 59/2 in the previous problem?

GPT-3.5 Turbo:

    To subtract fractions, we need to have a common denominator. In this case, the common denominator is 62.

    59/2 - 11/31 = (59*31)/62 - 11*2/62 = 1829/62 - 22/62 = (1829 - 22)/62 = 1807/62.

    ### Answer: 1807/62.

Expected answer: 1807/62

Correct? Yes

🔗 Problem

Problem: Consider these two fractions: 58/23 and 25/26. What is the sum when those two fractions are added together?

GPT-3.5 Turbo:

    To add the fractions 58/23 and 25/26, we need to find a common denominator. The least common multiple of 23 and 26 is 23*26 = 598.

    Converting the fractions to have a common denominator:
    58/23 = (58*26)/(23*26) = 1508/598
    25/26 = (25*23)/(26*23) = 575/598

    Adding the fractions together:
    1508/598 + 575/598 = (1508 + 575)/598 = 2083/598

    ### Answer: 2083/598.

Expected answer: 2083/598

Correct? Yes

🔗 Follow-up

Problem: We previously calculated the sum of the fractions 58/23 and 25/26. Now, suppose we had started with 45/23 instead of 58/23. How does the sum of 45/23 and 25/26 compare to the original calculation?

GPT-3.5 Turbo:

    To add the fractions 45/23 and 25/26, we need to find a common denominator. The least common multiple of 23 and 26 is 23*26 = 598.

    Converting the fractions to have a common denominator:
    45/23 = (45*26)/(23*26) = 1170/598
    25/26 = (25*23)/(26*23) = 575/598

    Adding the fractions together:
    1170/598 + 575/598 = (1170 + 575)/598 = 1745/598

    Comparing the sum of 45/23 and 25/26 (1745/598) to the original sum of 58/23 and 25/26 (2083/598), we see that the sum of 45/23 and 25/26 is smaller than the original calculation.

    ### Answer: The sum of 45/23 and 25/26 is 1745/598, which is smaller than the original sum of 58/23 and 25/26.

Expected answer: 1745/598

Correct? Yes

🔗 Problem

Problem: Calculate the sum of the fractions 70/13 and 17/52.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. In this case, the common denominator is 52. So, we rewrite the fractions as:
    70/13 = 70*4/13*4 = 280/52
    17/52 = 17/52
    Now, we can add the fractions:
    280/52 + 17/52 = (280 + 17) / 52 = 297/52
    ### Answer: 297/52.

Expected answer: 297/52

Correct? Yes

🔗 Follow-up

Problem: After calculating the sum of the fractions 70/13 and 17/52, subtract 35/87 from the result. What is your new answer?

GPT-3.5 Turbo:

    First, we need to subtract 35/87 from 297/52. To do this, we need to find a common denominator, which in this case is 52*87 = 4524.

    Rewriting the fractions with the common denominator:
    297/52 = 297*87/52*87 = 25839/4524
    35/87 = 35*52/87*52 = 1820/4524

    Now, we can subtract the fractions:
    25839/4524 - 1820/4524 = (25839 - 1820) / 4524 = 24019/4524

    ### Answer: 24019/4524.

Expected answer: 24019/4524

Correct? Yes

🔗 Follow-up

Problem: After reconsidering the quantities, suppose that originally there were 70/93 oranges instead of 70/13. Recalculate the sum of the fractions with this quantity of oranges and 17/52 apples. What is your new answer?

GPT-3.5 Turbo:

    Reasoning: The new fraction for oranges is 70/93. We need to find a common denominator, which is 93 in this case. So, we rewrite the fractions as:
    70/93 = 70/93
    17/52 = 17*3/52*3 = 51/156
    Now, we can add the fractions:
    70/93 + 51/156 = (70*156 + 51*93) / (93*156) = (10920 + 4758) / 14508 = 15678 / 14508 = 869/804
    ### Answer: 869/804.

Expected answer: 5221/4836

Correct? No

🔗 Problem

Problem: What is the sum of 78/44 and 17/91?

GPT-3.5 Turbo:

    Reasoning: To find the sum of fractions, we need to have a common denominator. The least common multiple of 44 and 91 is 44*91 = 4004. Therefore, we rewrite the fractions with the common denominator:
    78/44 = 78*91/44*91 = 7098/4004
    17/91 = 17*44/91*44 = 748/4004
    Now, we add the fractions:
    7098/4004 + 748/4004 = (7098 + 748) / 4004 = 7846 / 4004
    ### Answer: 7846/4004.

Expected answer: 3923/2002

Correct? Yes

🔗 Follow-up

Problem: Next, what is the result if you add the sum of 84/34 to the result of the previous problem (the sum of 78/44 and 17/91)?

GPT-3.5 Turbo:

    First, let's find the sum of 84/34 and the previous result 7846/4004:
    84/34 = 84*91/34*91 = 7644/3094
    Adding this to the previous result:
    7644/3094 + 7846/4004 = (7644*4004 + 7846*3094) / (3094*4004)
    Calculating the numerator and denominator:
    (30617776 + 24299924) / 12387776 = 54917700 / 12387776
    ### Answer: 54917700/12387776.

Expected answer: 150775/34034

Correct? No

🔗 Follow-up

Problem: Suppose that instead of the previous problem where we added 78/44 and 17/91, we actually had to add 78/44 and 17/67 instead. What would be the new sum?

GPT-3.5 Turbo:

    Reasoning: To find the sum of fractions, we need to have a common denominator. The least common multiple of 44 and 67 is 44*67 = 2948. Therefore, we rewrite the fractions with the common denominator:
    78/44 = 78*67/44*67 = 5226/2948
    17/67 = 17*44/67*44 = 748/2948
    Now, we add the fractions:
    5226/2948 + 748/2948 = (5226 + 748) / 2948 = 5974 / 2948
    ### Answer: 5974/2948.

Expected answer: 2987/1474

Correct? Yes

🔗 Problem

Problem: What is the sum of 43/4 and 71/4?

GPT-3.5 Turbo:

    Reasoning: To find the sum of 43/4 and 71/4, we add the numerators together and keep the denominator the same.
    43/4 + 71/4 = (43 + 71)/4 = 114/4 = 28.5
    ### Answer: 28.5

Expected answer: 57/2

Correct? Yes

🔗 Follow-up

Problem: What is the sum of 43/4 and 71/4 plus 92/79?

GPT-3.5 Turbo:

    Reasoning: To find the sum of 43/4, 71/4, and 92/79, we first add 43/4 and 71/4 to get (43 + 71)/4 = 114/4. Then, we add 114/4 and 92/79 by finding a common denominator, which is 316. We rewrite 114/4 as 711/316 and add it to 92/79 to get (711 + 92)/316 = 803/316.
    ### Answer: 803/316

Expected answer: 4687/158

Correct? No

🔗 Follow-up

Problem: What if instead of adding 71/4, we added 71/89 to 43/4? What would be the new total?

GPT-3.5 Turbo:

    Reasoning: To find the sum of 43/4 and 71/89, we need to find a common denominator. The least common multiple of 4 and 89 is 4*89 = 356. We then rewrite the fractions with the common denominator:
    43/4 + 71/89 = (43*89)/(4*89) + 71/89 = 3827/356 + 71/356 = (3827 + 71)/356 = 3898/356 = 10.9662921348
    ### Answer: 10.9662921348

Expected answer: 4111/356

Correct? No

🔗 Problem

Problem: What is the result of adding the fractions 17/74 and 53/27?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to find a common denominator. The common denominator for 74 and 27 is 74*27 = 1998.
    Converting 17/74 and 53/27 to have a common denominator of 1998, we get 459/1998 and 296/1998, respectively.
    Adding these fractions together, we get (459 + 296)/1998 = 755/1998.
    ### Answer: 755/1998.

Expected answer: 4381/1998

Correct? No

🔗 Problem

Problem: Compute the value of (76/76) + (96/16).

GPT-3.5 Turbo:

    Reasoning: (76/76) simplifies to 1, and (96/16) simplifies to 6. Therefore, the expression simplifies to 1 + 6 = 7.
    ### Answer: 7

Expected answer: 7

Correct? Yes

🔗 Follow-up

Problem: After finding the value of (76/76) + (96/16), what is the result when you add the solution to itself?

GPT-3.5 Turbo:

    Adding the solution to itself, we get 7 + 7 = 14.
    ### Answer: 14

Expected answer: 14

Correct? Yes

🔗 Follow-up

Problem: You originally calculated (76/76) + (96/16). Now reconsider your thought, what would be the new total if the second fraction was 96/33 instead of 96/16?

GPT-3.5 Turbo:

    Reasoning: (76/76) simplifies to 1, and (96/33) simplifies to 96/33. Therefore, the new total would be 1 + 96/33 = 1 + 3 = 4.
    ### Answer: 4

Expected answer: 43/11

Correct? No

🔗 Problem

Problem: What is the result of ((94 / 14) - (50 / 90))? Answer as a simplified fraction.

GPT-3.5 Turbo:

    We first simplify the division: 94 / 14 = 47 / 7 = 6 5/7 and 50 / 90 = 5 / 9.

    Subtracting these fractions gives us: 6 5/7 - 5/9 = 47/7 - 5/9 = (47*9 - 5*7) / (7*9) = (423 - 35) / 63 = 388 / 63.

    Therefore, ((94 / 14) - (50 / 90)) simplifies to 388 / 63.
    ### Answer: 388/63.

Expected answer: 388/63

Correct? Yes

🔗 Follow-up

Problem: After calculating the result of ((94 / 14) - (50 / 90)), reconsider the calculation by replacing (50 / 90) with (50 / 19) instead. What is the result of ((94 / 14) - (50 / 19))? What is the final result as a simplified fraction?

GPT-3.5 Turbo:

    We already know that 94 / 14 = 6 5/7.

    Now, we need to calculate 50 / 19. This simplifies to 50 / 19.

    Subtracting these fractions gives us: 6 5/7 - 50/19 = 47/7 - 50/19 = (47*19 - 50*7) / (7*19) = (893 - 350) / 133 = 543 / 133.

    Therefore, ((94 / 14) - (50 / 19)) simplifies to 543 / 133.
    ### Answer: 543/133.

Expected answer: 543/133

Correct? Yes

🔗 Problem

Problem: What is the result of subtracting twenty-nine seventy-ninths from thirty-three sevenths?

GPT-3.5 Turbo:

    Reasoning: To subtract fractions, we need to have a common denominator. In this case, the common denominator is 63.

    33/7 - 29/79 = (33*9)/(7*9) - (29*7)/(79*7) = 297/63 - 203/63 = (297 - 203)/63 = 94/63 = 47/31.

    ### Answer: 47/31.

Expected answer: 2404/553

Correct? No

🔗 Problem

Problem: What is the sum of 60/79 and 53/38?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 79 and 38 is 79*38 = 3002. We rewrite the fractions with the common denominator:
    60/79 = 60*38/79*38 = 2280/3002
    53/38 = 53*79/38*79 = 4187/3002
    Now, we add the fractions:
    2280/3002 + 4187/3002 = (2280 + 4187)/3002 = 6467/3002
    ### Answer: 6467/3002.

Expected answer: 6467/3002

Correct? Yes

🔗 Follow-up

Problem: What is the new total if you add 5/11 to the previous result of 60/79 and 53/38?

GPT-3.5 Turbo:

    First, we add the fractions 60/79 and 53/38 as we did before:
    60/79 + 53/38 = 2280/3002 + 4187/3002 = 6467/3002.

    Now, we add 5/11 to the result:
    6467/3002 + 5/11 = (6467*11 + 5*3002)/(3002*11) = 71137/33022.

    Therefore, the new total is 71137/33022.
    ### Answer: 71137/33022.

Expected answer: 86147/33022

Correct? No

🔗 Follow-up

Problem: What would be the new sum if instead of 60/79 in the previous problem, we had 79/79? So, what is 79/79 + 53/38?

GPT-3.5 Turbo:

    Reasoning: Since 79/79 is equal to 1, the sum of 79/79 and 53/38 is simply 1 + 53/38. To add 1 and 53/38, we convert 1 to have a denominator of 38:
    1 = 38/38
    Now, we add the fractions:
    38/38 + 53/38 = (38 + 53)/38 = 91/38
    ### Answer: 91/38.

Expected answer: 91/38

Correct? Yes

🔗 Problem

Problem: Solve the following fraction equation: 39/48 + 19/84.

GPT-3.5 Turbo:

    To add fractions, we need to find a common denominator. The least common multiple of 48 and 84 is 336.

    Rewriting the fractions with the common denominator:
    39/48 = (39*7)/(48*7) = 273/336
    19/84 = (19*4)/(84*4) = 76/336

    Adding the fractions:
    273/336 + 76/336 = (273 + 76) / 336 = 349/336

    ### Answer: 349/336.

Expected answer: 349/336

Correct? Yes

🔗 Follow-up

Problem: After calculating the value of 39/48 + 19/84, what would be the result if you added the obtained result to itself?

GPT-3.5 Turbo:

    Adding the result of 39/48 + 19/84 to itself:
    349/336 + 349/336 = (349 + 349) / 336 = 698/336

    ### Answer: 698/336.

Expected answer: 349/168

Correct? Yes

🔗 Follow-up

Problem: If instead of adding 39/48 and 19/84, you were to add 39/48 and 19/13, what would be the result?

GPT-3.5 Turbo:

    To add fractions, we need to find a common denominator. The least common multiple of 48 and 13 is 624.

    Rewriting the fractions with the common denominator:
    39/48 = (39*13)/(48*13) = 507/624
    19/13 = (19*48)/(13*48) = 912/624

    Adding the fractions:
    507/624 + 912/624 = (507 + 912) / 624 = 1419/624

    ### Answer: 1419/624.

Expected answer: 473/208

Correct? Yes

🔗 Problem

Problem: What is the sum of 16/86 and 60/3?

GPT-3.5 Turbo:

    To find the sum of 16/86 and 60/3, we need to first find a common denominator. The least common multiple of 86 and 3 is 258.

    Converting 16/86 to have a denominator of 258, we get (16*3)/(86*3) = 48/258.

    Converting 60/3 to have a denominator of 258, we get (60*86)/(3*86) = 516/258.

    Now, adding 48/258 and 516/258, we get (48+516)/258 = 564/258.

    Therefore, the sum of 16/86 and 60/3 is 564/258.
    ### Answer: 564/258.

Expected answer: 868/43

Correct? No

🔗 Problem

Problem: Solve the following equation: ((95 / 69) + (67 / 9))

GPT-3.5 Turbo:

    To solve the equation ((95 / 69) + (67 / 9)), we first find the values of the fractions:
    95 / 69 = 1.3768 (rounded to four decimal places)
    67 / 9 = 7.4444 (rounded to four decimal places)

    Adding these two values together, we get:
    1.3768 + 7.4444 = 8.8212

    ### Answer: 8.8212

Expected answer: 1826/207

Correct? No

🔗 Problem

Problem: Calculate the result of 95 / 16 - 43 / 60.

GPT-3.5 Turbo:

    Reasoning: To calculate this expression, we first need to find a common denominator for the fractions. The common denominator for 16 and 60 is 240.

    95/16 = (95*15)/(16*15) = 1425/240
    43/60 = (43*4)/(60*4) = 172/240

    Now, the expression becomes:

    1425/240 - 172/240 = (1425 - 172) / 240 = 1253 / 240

    ### Answer: 1253/240.

Expected answer: 1253/240

Correct? Yes

🔗 Follow-up

Problem: After finding the result of 95 / 16 - 43 / 60, add the result to 80 / 79. What is the final answer?

GPT-3.5 Turbo:

    First, we add the result of 95/16 - 43/60 to 80/79:

    1253/240 + 80/79

    To add these fractions, we need to find a common denominator, which is 240*79 = 18960.

    1253/240 = (1253*79)/(240*79) = 98987/18960

    Now, the expression becomes:

    98987/18960 + 80/79 = (98987 + 18960*80) / 18960 = (98987 + 1516800) / 18960 = 1615787 / 18960

    ### Answer: 1615787/18960.

Expected answer: 118187/18960

Correct? No

🔗 Follow-up

Problem: After finding the result of 95 / 16 - 43 / 60 in the previous problem, let's change it a bit. What if instead of 95/16, you had 91/16 and you subtracted 43/60 from it? What would the new result be?

GPT-3.5 Turbo:

    Reasoning: Using the same process as before, we find a common denominator for 16 and 60, which is 240.

    91/16 = (91*15)/(16*15) = 1365/240
    43/60 = (43*4)/(60*4) = 172/240

    Now, the expression becomes:

    1365/240 - 172/240 = (1365 - 172) / 240 = 1193 / 240

    ### Answer: 1193/240.

Expected answer: 1193/240

Correct? Yes

🔗 Problem

Problem: What is the sum of the fractions 38/8 and 4/16?

GPT-3.5 Turbo:

    To add fractions, we need to have a common denominator. In this case, the common denominator is 16.

    38/8 = 38/8 * 2/2 = 76/16

    Now we can add the fractions:

    76/16 + 4/16 = 80/16 = 5

    ### Answer: 5.

Expected answer: 5

Correct? Yes

🔗 Follow-up

Problem: Recalling the fraction calculation from the previous problem (38/8 and 4/16), what is the new total if you were to add 32/64 to this sum?

GPT-3.5 Turbo:

    First, we need to simplify 32/64 to its simplest form:

    32/64 = 32/64 * 1/2 = 32/128 = 1/4

    Now, we can add this fraction to the sum we found earlier:

    5 + 1/4 = 20/4 + 1/4 = 21/4 = 5 1/4

    ### Answer: 5 1/4.

Expected answer: 11/2

Correct? No

🔗 Follow-up

Problem: In the previous problem, we considered the sum of the fractions 38/8 and 4/16 and then added 32/64. Now, instead of 38/8, let's consider 12/8. What would be the new sum if you added 12/8 and 4/16 together?

GPT-3.5 Turbo:

    First, we need to simplify the fractions:

    12/8 = 12/8 * 2/2 = 24/16

    Now we can add the fractions:

    24/16 + 4/16 = 28/16 = 7/4

    ### Answer: 7/4.

Expected answer: 7/4

Correct? Yes

🔗 Problem

Problem: Calculate the result of 67 / 15 - 27 / 12.

GPT-3.5 Turbo:

    Reasoning: First, we simplify 67/15 and 27/12:
    67/15 = 4.466666...
    27/12 = 2.25
    Now, we subtract the two simplified fractions:
    4.466666... - 2.25 = 2.216666...
    ### Answer: 2.216666...

Expected answer: 133/60

Correct? No

🔗 Problem

Problem: Calculate the sum of 38/59 and 80/94.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 59 and 94 is 59*94 = 5546. We rewrite the fractions with the common denominator:
    38/59 = (38*94)/(59*94) = 3572/5546
    80/94 = (80*59)/(94*59) = 4720/5546
    Now, we add the fractions:
    3572/5546 + 4720/5546 = (3572 + 4720)/5546 = 8292/5546
    ### Answer: 8292/5546.

Expected answer: 4146/2773

Correct? Yes

🔗 Follow-up

Problem: If you add 84/30 to the sum of 38/59 and 80/94, what is the resultant value?

GPT-3.5 Turbo:

    First, we need to add the fractions 38/59 and 80/94 as calculated earlier:
    38/59 + 80/94 = 8292/5546.

    Now, we add 84/30 to the sum:
    8292/5546 + 84/30 = (8292*30 + 84*5546)/(5546*30) = (248760 + 465564) / 166380 = 714324 / 166380 = 357162 / 83190 = 119054 / 27730.

    Therefore, the resultant value is 119054/27730.
    ### Answer: 119054/27730.

Expected answer: 59552/13865

Correct? No

🔗 Follow-up

Problem: If instead of 38/59, the fraction was 38/39, what would be the new sum when combined with 80/94?

GPT-3.5 Turbo:

    Reasoning: The new fraction is 38/39. We rewrite the fractions with a common denominator of 39*94 = 3666:
    38/39 = (38*94)/(39*94) = 3572/3666
    80/94 = (80*39)/(94*39) = 3120/3666
    Now, we add the fractions:
    3572/3666 + 3120/3666 = (3572 + 3120)/3666 = 6692/3666
    ### Answer: 6692/3666.

Expected answer: 3346/1833

Correct? Yes

🔗 Problem

Problem: Calculate the sum of 10/14 and 70/20. Report your answer as a decimal.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. In this case, the common denominator is 14*20 = 280.

    10/14 = 10 * 20 / (14 * 20) = 200/280

    70/20 = 70 * 14 / (20 * 14) = 980/280

    Now, we can add the fractions:

    200/280 + 980/280 = (200 + 980) / 280 = 1180/280

    Converting this fraction to a decimal:

    1180/280 = 4.21428571429

    ### Answer: 4.21428571429

Expected answer: 59/14

Correct? No

🔗 Problem

Problem: What is the result of subtracting 19/44 from 33/5?

GPT-3.5 Turbo:

    To subtract fractions, we need to have a common denominator. In this case, the common denominator is 44.

    33/5 - 19/44 = (33*8)/(5*8) - 19/44
    = 264/40 - 19/44
    = (264*11)/(40*11) - 19/44
    = 2904/440 - 19/44
    = (2904 - 19*10)/440
    = (2904 - 190)/440
    = 2714/440

    ### Answer: 2714/440.

Expected answer: 1357/220

Correct? Yes

🔗 Follow-up

Problem: After finding the result of subtracting 19/44 from 33/5, what will be the resulting fraction when you add 32/76 to the previous outcome?

GPT-3.5 Turbo:

    To add fractions, we need to have a common denominator. In this case, the common denominator is 440.

    2714/440 + 32/76 = (2714*19)/(440*19) + 32/76
    = 51666/8360 + 1760/8360
    = (51666 + 1760)/8360
    = 53426/8360
    = 26713/4180

    ### Answer: 26713/4180.

Expected answer: 27543/4180

Correct? No

🔗 Follow-up

Problem: Previously, we calculated the result of subtracting 19/44 from 33/5. But what if instead of subtracting 19/44, we subtracted 17/44 from 33/5? What would be the new result?

GPT-3.5 Turbo:

    To subtract 17/44 from 33/5, we need to have a common denominator, which is 44 in this case.

    33/5 - 17/44 = (33*44)/(5*44) - 17/44
    = 1452/220 - 17/44
    = (1452*2)/(220*2) - 17/44
    = 2904/440 - 17/44
    = (2904 - 17*10)/440
    = (2904 - 170)/440
    = 2734/440

    ### Answer: 2734/440.

Expected answer: 1367/220

Correct? Yes

🔗 Problem

Problem: Find the result for (97 / 13) + (62 / 22). Answer as a decimal to the nearest hundredth.

GPT-3.5 Turbo:

    Reasoning:
    (97 / 13) + (62 / 22) = 7.46 + 2.82 = 10.28.

    ### Answer: 10.28

Expected answer: 1470/143

Correct? No

🔗 Problem

Problem: What is the sum of 78 divided by 35 and 30 divided by 60?

GPT-3.5 Turbo:

    To find the sum of 78 divided by 35 and 30 divided by 60, we first need to calculate each division separately.

    78 divided by 35 is 78/35 = 2.22857142857 (rounded to 5 decimal places).

    30 divided by 60 is 30/60 = 0.5.

    The sum of 2.22857142857 and 0.5 is 2.22857142857 + 0.5 = 2.72857142857.

    ### Answer: 2.72857142857.

Expected answer: 191/70

Correct? No

🔗 Problem

Problem: What is the sum of 49/75 and 88/58?

GPT-3.5 Turbo:

    To find the sum of 49/75 and 88/58, we need to first find a common denominator for the fractions. The least common multiple of 75 and 58 is 75*58 = 4350.

    Converting the fractions to have a common denominator of 4350:
    49/75 = (49*58)/(75*58) = 2842/4350
    88/58 = (88*75)/(58*75) = 6600/4350

    Adding the fractions:
    2842/4350 + 6600/4350 = (2842 + 6600)/4350 = 9442/4350

    ### Answer: 9442/4350.

Expected answer: 4721/2175

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, suppose we now also add 3/82 to the sum of 49/75 and 88/58, what would the new sum be?

GPT-3.5 Turbo:

    To add 3/82 to the sum of 49/75 and 88/58, we first need to find a common denominator for all three fractions. The least common multiple of 75, 58, and 82 is 75*58*82 = 369900.

    Converting the fractions to have a common denominator of 369900:
    49/75 = (49*58*82)/(75*58*82) = 191578/369900
    88/58 = (88*75*82)/(58*75*82) = 544800/369900
    3/82 = (3*75*58)/(82*75*58) = 13950/369900

    Adding the fractions:
    191578/369900 + 544800/369900 + 13950/369900 = (191578 + 544800 + 13950)/369900 = 750328/369900

    ### Answer: 750328/369900.

Expected answer: 393647/178350

Correct? No

🔗 Follow-up

Problem: Now consider a different scenario where we started with 12/75 instead of 49/75, and we still add 88/58. What would we get as the sum in this case?

GPT-3.5 Turbo:

    To find the sum of 12/75 and 88/58, we need to first find a common denominator for the fractions. The least common multiple of 75 and 58 is 75*58 = 4350.

    Converting the fractions to have a common denominator of 4350:
    12/75 = (12*58)/(75*58) = 696/4350
    88/58 = (88*75)/(58*75) = 6600/4350

    Adding the fractions:
    696/4350 + 6600/4350 = (696 + 6600)/4350 = 7296/4350

    ### Answer: 7296/4350.

Expected answer: 1216/725

Correct? Yes

🔗 Problem

Problem: What is the result of ((50 / 2) - (50 / 32))?

GPT-3.5 Turbo:

    Reasoning:
    \[
    \frac{50}{2} = 25
    \]
    \[
    \frac{50}{32} = \frac{25}{16}
    \]
    \[
    25 - \frac{25}{16} = \frac{400 - 25}{16} = \frac{375}{16}
    \]
    ### Answer: \(\frac{375}{16}\)

Expected answer: 375/16

Correct? Yes

🔗 Follow-up

Problem: Following up on our previous question, what is the result when you add (72 / 81) to the difference between (50 / 2) and (50 / 32)?

GPT-3.5 Turbo:

    Reasoning:
    \[
    \frac{72}{81} = \frac{8}{9}
    \]
    Adding \(\frac{8}{9}\) to \(\frac{375}{16}\):
    \[
    \frac{8}{9} + \frac{375}{16} = \frac{128 + 3375}{144} = \frac{3503}{144}
    \]
    ### Answer: \(\frac{3503}{144}\)

Expected answer: 3503/144

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, consider this change, what would the result be if instead of dividing by 32, you divide 50 by 91? What would be the new result for ((50 / 2) - (50 / 91))?

GPT-3.5 Turbo:

    Reasoning:
    \[
    \frac{50}{2} = 25
    \]
    \[
    \frac{50}{91} = \frac{50}{91}
    \]
    \[
    25 - \frac{50}{91} = \frac{91 \times 25 - 50 \times 2}{91} = \frac{2275 - 100}{91} = \frac{2175}{91}
    \]
    ### Answer: \(\frac{2175}{91}\)

Expected answer: 2225/91

Correct? No

🔗 Problem

Problem: What is the result of ((77 / 30) + (18 / 51))?

GPT-3.5 Turbo:

    We first simplify the fractions:
    77 / 30 = 2.566...
    18 / 51 = 0.3529...

    Adding the two results together:
    2.566... + 0.3529... = 2.919...

    Therefore, ((77 / 30) + (18 / 51)) = 2.919.
    ### Answer: 2.919

Expected answer: 1489/510

Correct? No

🔗 Problem

Problem: What is the result of (36 / 37) + (8 / 4)?

GPT-3.5 Turbo:

    Reasoning: (36 / 37) + (8 / 4) = 36/37 + 8/4 = 36/37 + 2 = (36 + 74) / 37 = 110 / 37.
    ### Answer: 110/37.

Expected answer: 110/37

Correct? Yes

🔗 Follow-up

Problem: First, calculate (36 / 37) + (8 / 4). Then, add the result to itself. What is the final result?

GPT-3.5 Turbo:

    First, (36 / 37) + (8 / 4) = 36/37 + 8/4 = 36/37 + 2 = (36 + 74) / 37 = 110 / 37.

    Adding the result to itself: 110/37 + 110/37 = (110 + 110) / 37 = 220 / 37.

    ### Answer: 220/37.

Expected answer: 220/37

Correct? Yes

🔗 Follow-up

Problem: Initially, you calculated (36 / 37) + (8 / 4) and added the result to itself. Now, suppose the initial calculation was actually (36 / 37) + (8 / 56) instead. What is the new result?

GPT-3.5 Turbo:

    Reasoning: (36 / 37) + (8 / 56) = 36/37 + 8/56 = (36*56 + 8*37) / (37*56) = (2016 + 296) / 2072 = 2312 / 2072 = 289 / 259 = 17 / 19.
    ### Answer: 17/19.

Expected answer: 289/259

Correct? No

🔗 Problem

Problem: Calculate the result of (57 / 22) - (72 / 48) expressing your answer as a fraction in the simplest form.

GPT-3.5 Turbo:

    First, we simplify the fractions:
    57 / 22 = 57/22,
    72 / 48 = 3/2.

    Now, we subtract the fractions:
    57/22 - 3/2 = (57*2 - 3*22) / (22*2) = (114 - 66) / 44 = 48 / 44 = 12 / 11.

    ### Answer: 12/11.

Expected answer: 12/11

Correct? Yes

🔗 Follow-up

Problem: Calculate the result of (57 / 22) - (72 / 48) expressing your answer as a fraction in the simplest form. Then, add this result to itself. What is the final simplified fraction?

GPT-3.5 Turbo:

    First, we simplify the fractions:
    57 / 22 = 57/22,
    72 / 48 = 3/2.

    Now, we subtract the fractions:
    57/22 - 3/2 = (57*2 - 3*22) / (22*2) = (114 - 66) / 44 = 48 / 44 = 12 / 11.

    Now, we add the result to itself:
    12/11 + 12/11 = (12 + 12) / 11 = 24 / 11.

    ### Answer: 24/11.

Expected answer: 24/11

Correct? Yes

🔗 Follow-up

Problem: Originally, you calculated the result of (57 / 22) - (72 / 48) and expressed your answer as a fraction in the simplest form. Now, consider the scenario where you miscalculated and the second fraction was actually (72 / 100) instead of (72 / 48). Recalculate the expression (57 / 22) - (72 / 100). What is the final simplified fraction in this case?

GPT-3.5 Turbo:

    First, we simplify the fractions:
    57 / 22 = 57/22,
    72 / 100 = 18/25.

    Now, we subtract the fractions:
    57/22 - 18/25 = (57*25 - 18*22) / (22*25) = (1425 - 396) / 550 = 1029 / 550.

    To simplify the fraction 1029/550, we find the greatest common divisor (GCD) of 1029 and 550, which is 1. Therefore, the fraction is already in its simplest form.

    ### Answer: 1029/550.

Expected answer: 1029/550

Correct? Yes

🔗 Problem

Problem: What is the sum of 48 divided by 16 and 12 divided by 29?

GPT-3.5 Turbo:

    To find the sum of 48 divided by 16 and 12 divided by 29, we first calculate each division separately:

    48 divided by 16 is 3 (48/16 = 3).

    12 divided by 29 is 0.4138 (12/29 ≈ 0.4138).

    The sum of these two results is 3 + 0.4138 = 3.4138.

    ### Answer: 3.4138

Expected answer: 99/29

Correct? No

🔗 Problem

Problem: What is the sum of 37/20 and 16/75? Write your answer as a simplified fraction.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to find a common denominator. The least common multiple of 20 and 75 is 300. We rewrite the fractions with the common denominator:
    37/20 = 37*15/20*15 = 555/300
    16/75 = 16*4/75*4 = 64/300
    Now, we add the fractions:
    555/300 + 64/300 = (555 + 64) / 300 = 619/300
    ### Answer: 619/300.

Expected answer: 619/300

Correct? Yes

🔗 Follow-up

Problem: In addition to the previously computed sum of 37/20 and 16/75, now add the fraction 61/80 to this sum. What is the total when all three fractions are added together?

GPT-3.5 Turbo:

    Reasoning: We already found the sum of 37/20 and 16/75 to be 619/300. To add the fraction 61/80, we need to find a common denominator. The least common multiple of 300 and 80 is 1200. We rewrite the fractions with the common denominator:
    619/300 = 619*4/300*4 = 2476/1200
    61/80 = 61*15/80*15 = 915/1200
    Now, we add the fractions:
    2476/1200 + 915/1200 = (2476 + 915) / 1200 = 3391/1200
    ### Answer: 3391/1200.

Expected answer: 3391/1200

Correct? Yes

🔗 Follow-up

Problem: If there originally were 60/20 portions of a cake and you added 16/75 portions of another cake to it, how much cake would you have in total? Please write your answer as a simplified fraction.

GPT-3.5 Turbo:

    Reasoning: We start with 60/20 portions of cake and add 16/75 portions of another cake. To add fractions, we need a common denominator. The least common multiple of 20 and 75 is 300. We rewrite the fractions with the common denominator:
    60/20 = 60*15/20*15 = 900/300
    16/75 = 16*4/75*4 = 64/300
    Now, we add the fractions:
    900/300 + 64/300 = (900 + 64) / 300 = 964/300
    ### Answer: 964/300.

Expected answer: 241/75

Correct? Yes

🔗 Problem

Problem: Calculate the summation: 83/40 + 6/8.

GPT-3.5 Turbo:

    Reasoning: First, we simplify 6/8 to 3/4. Then, we add 83/40 + 3/4 by finding a common denominator, which is 40. So, 83/40 + 3/4 = (83*1 + 3*10) / 40 = 83/40 + 30/40 = 113/40.
    ### Answer: 113/40.

Expected answer: 113/40

Correct? Yes

🔗 Follow-up

Problem: After finding the result of 83/40 + 6/8, subtract 24/64 from it. What do you get?

GPT-3.5 Turbo:

    First, we simplify 6/8 to 3/4. Then, we add 83/40 + 3/4 to get 113/40.

    Now, we subtract 24/64 from 113/40. To do this, we find a common denominator, which is 64. So, 113/40 - 24/64 = (113*16 - 24*10) / 640 = (1808 - 240) / 640 = 1568 / 640 = 196 / 80 = 49 / 20.

    ### Answer: 49/20.

Expected answer: 49/20

Correct? Yes

🔗 Follow-up

Problem: After adjusting our original calculation, we now have 83/18 instead of 83/40. So now, what is the result of 83/18 + 6/8?

GPT-3.5 Turbo:

    Reasoning: We simplify 6/8 to 3/4. Then, we add 83/18 + 3/4 by finding a common denominator, which is 18. So, 83/18 + 3/4 = (83*4 + 3*18) / 18 = 332/18 + 54/18 = 386/18 = 193/9.
    ### Answer: 193/9.

Expected answer: 193/36

Correct? No

🔗 Problem

Problem: Find the result of the addition of the fractions 37/69 and 67/61.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 69 and 61 is 69*61 = 4209. We rewrite the fractions with this common denominator:
    37/69 = (37*61)/(69*61) = 2257/4209
    67/61 = (67*69)/(61*69) = 4623/4209
    Now we can add the fractions:
    2257/4209 + 4623/4209 = (2257+4623)/4209 = 6880/4209
    ### Answer: 6880/4209.

Expected answer: 6880/4209

Correct? Yes

🔗 Follow-up

Problem: After finding the result of the addition of the fractions 37/69 and 67/61, what would you get if you further added 100/7 to the result?

GPT-3.5 Turbo:

    Reasoning: We already found that 37/69 + 67/61 = 6880/4209. Now we need to add 100/7 to this result. To add this fraction, we need to find a common denominator with 4209. The least common multiple of 4209 and 7 is 4209*7 = 29463. We rewrite the fractions with this common denominator:
    100/7 = (100*4209)/(7*4209) = 420900/29463
    Now we can add the fractions:
    6880/4209 + 420900/29463 = (6880*7 + 420900)/29463 = (48160 + 420900)/29463 = 469060/29463
    ### Answer: 469060/29463.

Expected answer: 469060/29463

Correct? Yes

🔗 Problem

Problem: What is the sum of 89/84 and 75/34?

GPT-3.5 Turbo:

    To find the sum of fractions, we need to have a common denominator. In this case, the least common multiple of 84 and 34 is 84*34 = 2856.

    Converting the fractions to have a common denominator:
    89/84 = (89*34)/(84*34) = 3026/2856
    75/34 = (75*84)/(34*84) = 6300/2856

    Adding the fractions:
    3026/2856 + 6300/2856 = (3026 + 6300)/2856 = 9326/2856

    ### Answer: 9326/2856.

Expected answer: 4663/1428

Correct? Yes

🔗 Follow-up

Problem: After finding the sum of 89/84 and 75/34 from the previous problem, what would be the result if you added that fraction to itself?

GPT-3.5 Turbo:

    Adding the fraction to itself:
    9326/2856 + 9326/2856 = (9326 + 9326)/2856 = 18652/2856

    ### Answer: 18652/2856.

Expected answer: 4663/714

Correct? Yes

🔗 Follow-up

Problem: Assume the original problem was about adding fractions from two recipes. The first recipe demanded 89/84 gallons of milk and the second demanded 75/34 gallons. Now consider a slightly altered scenario where the first recipe demands 94/84 gallons of milk instead of 89/84 gallons. What is the new total amount of milk needed for both recipes in this altered scenario?

GPT-3.5 Turbo:

    In the altered scenario, the first recipe demands 94/84 gallons of milk and the second recipe demands 75/34 gallons of milk.

    To find the total amount of milk needed for both recipes in the altered scenario, we add the amounts of milk needed for each recipe:
    94/84 + 75/34

    To add these fractions, we need to find a common denominator. The least common multiple of 84 and 34 is 84*34 = 2856.

    Converting the fractions to have a common denominator:
    94/84 = (94*34)/(84*34) = 3196/2856
    75/34 = (75*84)/(34*84) = 6300/2856

    Adding the fractions:
    3196/2856 + 6300/2856 = (3196 + 6300)/2856 = 9496/2856

    ### Answer: 9496/2856.

Expected answer: 1187/357

Correct? Yes

🔗 Problem

Problem: What is the result when you add 51/78 and 44/83?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to find a common denominator. The least common multiple of 78 and 83 is 78*83 = 6474.

    Converting both fractions to have a denominator of 6474:
    51/78 = (51*83)/(78*83) = 4233/6474
    44/83 = (44*78)/(83*78) = 3432/6474

    Adding the fractions:
    4233/6474 + 3432/6474 = (4233 + 3432)/6474 = 7665/6474

    ### Answer: 7665/6474.

Expected answer: 2555/2158

Correct? Yes

🔗 Follow-up

Problem: If you already found the sum of 51/78 and 44/83, what would be the result if you added that sum to 71/92?

GPT-3.5 Turbo:

    Reasoning: We already found the sum of 51/78 and 44/83 to be 7665/6474.

    To add 7665/6474 and 71/92, we need to find a common denominator. The least common multiple of 6474 and 92 is 6474*92 = 595368.

    Converting both fractions to have a denominator of 595368:
    7665/6474 = (7665*92)/(6474*92) = 705180/595368
    71/92 = (71*6474)/(92*6474) = 457854/595368

    Adding the fractions:
    705180/595368 + 457854/595368 = (705180 + 457854)/595368 = 1161034/595368

    ### Answer: 1161034/595368.

Expected answer: 194139/99268

Correct? No

🔗 Follow-up

Problem: You previously calculated the sum of 51/78 and 44/83. What if you made a mistake and the first fraction was actually 51/74 instead of 51/78? What would be the new sum of 51/74 and 44/83?

GPT-3.5 Turbo:

    Reasoning: If the first fraction is 51/74 instead of 51/78, we need to recalculate the sum.

    Converting both fractions to have a common denominator:
    51/74 = (51*83)/(74*83) = 4233/6142
    44/83 = 44/83

    Adding the fractions:
    4233/6142 + 44/83 = (4233*83 + 44*6142)/(6142*83) = (351039 + 269848)/508786 = 620887/508786

    ### Answer: 620887/508786.

Expected answer: 7489/6142

Correct? No

🔗 Problem

Problem: Calculate the sum of the fractions 99/85 and 77/55.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 85 and 55 is 425. We rewrite the fractions with the common denominator:
    \( \frac{99}{85} = \frac{99 \times 5}{85 \times 5} = \frac{495}{425} \) and \( \frac{77}{55} = \frac{77 \times 7}{55 \times 7} = \frac{539}{425} \).
    Now, we add the fractions: \( \frac{495}{425} + \frac{539}{425} = \frac{495 + 539}{425} = \frac{1034}{425} \).

    ### Answer: \( \frac{1034}{425} \)

Expected answer: 218/85

Correct? No

🔗 Problem

Problem: What is the value of 97 / 56 - 31 / 52? Represent your answer as a simplified fraction.

GPT-3.5 Turbo:

    We first find a common denominator for the fractions:
    97/56 - 31/52 = (97*13)/(56*13) - (31*7)/(52*7) = 1261/728 - 217/364
    Now, we find a common denominator for 728 and 364, which is 728:
    1261/728 - 217/364 = (1261*1)/(728*1) - (217*2)/(364*2) = 1261/728 - 434/728 = (1261 - 434)/728 = 827/728
    ### Answer: 827/728

Expected answer: 827/728

Correct? Yes

🔗 Follow-up

Problem: After finding the value of 97 / 56 - 31 / 52, what is the result of adding it to 100 / 25? Write your final answer as a simplified fraction.

GPT-3.5 Turbo:

    We already found that 97/56 - 31/52 = 827/728.
    Now, we add 827/728 to 100/25:
    827/728 + 100/25 = 827/728 + 2912/728 = (827 + 2912)/728 = 3739/728
    ### Answer: 3739/728

Expected answer: 3739/728

Correct? Yes

🔗 Follow-up

Problem: If instead of 31/52 in the previous problem you had 26/52 to subtract from 97/56, what would the new result be? Please express your answer as a simplified fraction.

GPT-3.5 Turbo:

    We first find a common denominator for the fractions:
    97/56 - 26/52 = (97*13)/(56*13) - (26*7)/(52*7) = 1261/728 - 182/364
    Now, we find a common denominator for 728 and 364, which is 728:
    1261/728 - 182/364 = (1261*1)/(728*1) - (182*2)/(364*2) = 1261/728 - 364/728 = (1261 - 364)/728 = 897/728
    ### Answer: 897/728

Expected answer: 69/56

Correct? Yes

🔗 Problem

Problem: Calculate the result of the following fraction operation: (78 / 74) + (72 / 51).

GPT-3.5 Turbo:

    First, we simplify the fractions:
    78 / 74 = 39 / 37
    72 / 51 = 24 / 17

    Now, we add the fractions:
    (39 / 37) + (24 / 17) = (39*17 + 24*37) / (37*17) = (663 + 888) / 629 = 1551 / 629

    ### Answer: 1551/629.

Expected answer: 1551/629

Correct? Yes

🔗 Follow-up

Problem: After you have calculated the result of the previous operation (78 / 74) + (72 / 51), find the sum if you add the result of the operation to itself. What is the final answer?

GPT-3.5 Turbo:

    We found that (78 / 74) + (72 / 51) = 1551 / 629.

    Now, we add this result to itself:
    (1551 / 629) + (1551 / 629) = 2 * (1551 / 629) = 3102 / 629

    ### Answer: 3102/629.

Expected answer: 3102/629

Correct? Yes

🔗 Follow-up

Problem: Suppose in our previous operation, instead of adding (72 / 51), we were to add (56 / 51) to (78 / 74). What would be the new result of the operation (78 / 74) + (56 / 51)?

GPT-3.5 Turbo:

    First, we simplify the fractions:
    78 / 74 = 39 / 37
    56 / 51 = 56 / 51

    Now, we add the fractions:
    (39 / 37) + (56 / 51) = (39*51 + 56*37) / (37*51) = (1989 + 2072) / 1887 = 4061 / 1887

    ### Answer: 4061/1887.

Expected answer: 4061/1887

Correct? Yes

🔗 Problem

Problem: What is the result of the operation (33 / 23) - (12 / 75)? Express your answer as a fraction.

GPT-3.5 Turbo:

    Reasoning: To subtract fractions, we need a common denominator. The common denominator for 23 and 75 is 23*75 = 1725.
    (33/23) - (12/75) = (33*75/1725) - (12*23/1725) = (2475/1725) - (276/1725) = (2475 - 276) / 1725 = 2199 / 1725.
    ### Answer: 2199/1725.

Expected answer: 733/575

Correct? Yes

🔗 Follow-up

Problem: After calculating the result of (33 / 23) - (12 / 75), now find the sum when you add this result to 24 / 81. Express your answer as a fraction.

GPT-3.5 Turbo:

    Reasoning: We already found that (33/23) - (12/75) = 2199/1725. Now, we need to add this result to 24/81.
    (2199/1725) + (24/81) = (2199*81 + 24*1725) / (1725*81) = (178119 + 41400) / 139725 = 219519 / 139725.
    ### Answer: 219519/139725.

Expected answer: 24391/15525

Correct? Yes

🔗 Problem

Problem: What is the result of the operation 85/42 - 98/99? Simplify your answer to the nearest hundredth.

GPT-3.5 Turbo:

    Reasoning: To subtract fractions, we need a common denominator. The least common multiple of 42 and 99 is 2*3*7*11 = 462. So, we rewrite the fractions with a common denominator:
    85/42 - 98/99 = (85*11)/(42*11) - (98*6)/(99*6) = 935/462 - 588/462 = (935 - 588)/462 = 347/462 ≈ 0.75 (rounded to the nearest hundredth).
    ### Answer: 0.75

Expected answer: 1433/1386

Correct? No

🔗 Problem

Problem: What is the sum of 19/30 and 75/77? Express your answer as a simplified fraction.

GPT-3.5 Turbo:

    Reasoning: To find the sum of fractions, we need to have a common denominator. The least common multiple of 30 and 77 is 2310.

    Converting 19/30 to have a denominator of 2310:
    (19/30) * (77/77) = 1443/2310

    Converting 75/77 to have a denominator of 2310:
    (75/77) * (30/30) = 2250/2310

    Adding the fractions:
    1443/2310 + 2250/2310 = 3693/2310

    Simplifying the fraction:
    3693/2310 = 77/48

    ### Answer: 77/48.

Expected answer: 3713/2310

Correct? No

🔗 Problem

Problem: What is the sum of 57/66 and 39/64? Please express your answer as a fraction.

GPT-3.5 Turbo:

    To find the sum of 57/66 and 39/64, we need to find a common denominator for the fractions. The least common multiple of 66 and 64 is 2112.

    Converting 57/66 to have a denominator of 2112:
    (57/66) * (32/32) = 1824/2112

    Converting 39/64 to have a denominator of 2112:
    (39/64) * (33/33) = 1287/2112

    Now, adding the fractions:
    1824/2112 + 1287/2112 = 3111/2112

    ### Answer: 3111/2112.

Expected answer: 1037/704

Correct? Yes

🔗 Follow-up

Problem: After finding the sum of 57/66 and 39/64, what is its sum with 10/29? Please express your answer as a fraction.

GPT-3.5 Turbo:

    To find the sum of 3111/2112 and 10/29, we need to find a common denominator for the fractions. The least common multiple of 2112 and 29 is 61328.

    Converting 3111/2112 to have a denominator of 61328:
    (3111/2112) * (29/29) = 90119/61328

    Converting 10/29 to have a denominator of 61328:
    (10/29) * (2112/2112) = 21120/61328

    Now, adding the fractions:
    90119/61328 + 21120/61328 = 111239/61328

    ### Answer: 111239/61328.

Expected answer: 37113/20416

Correct? No

🔗 Follow-up

Problem: When we earlier calculated the sum of two fractions, we used 57/66 and 39/64. However, there was a mistake in our calculation and the second fraction should have been 49/64 instead. Could you please recalculate and find the correct sum of the fractions 57/66 and 49/64?

GPT-3.5 Turbo:

    To find the sum of 57/66 and 49/64, we need to find a common denominator for the fractions. The least common multiple of 66 and 64 is 1056.

    Converting 57/66 to have a denominator of 1056:
    (57/66) * (16/16) = 912/1056

    Converting 49/64 to have a denominator of 1056:
    (49/64) * (33/33) = 1617/1056

    Now, adding the fractions:
    912/1056 + 1617/1056 = 2529/1056

    ### Answer: 2529/1056.

Expected answer: 1147/704

Correct? No

🔗 Problem

Problem: What is the sum of 80/13 and 2/48?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. In this case, the common denominator is 48. So, we rewrite 80/13 as 80/13 * 4/4 = 320/52 and 2/48 as 2/48 * 1/1 = 2/48. Now, we can add the fractions: 320/52 + 2/48 = (320 + 2) / 52 = 322 / 52 = 161 / 26.
    ### Answer: 161/26.

Expected answer: 1933/312

Correct? No

🔗 Problem

Problem: Calculate the result of the operation ((55 / 30) - (1 / 72)).

GPT-3.5 Turbo:

    Reasoning: First, we simplify the division inside the parentheses: 55 / 30 = 1.8333...
    Then, we subtract 1 / 72 = 0.0138...
    Finally, we subtract the two results: 1.8333... - 0.0138... = 1.8195...
    ### Answer: 1.8195

Expected answer: 131/72

Correct? No

🔗 Problem

Problem: Calculate the sum of the fractions 69/21 and 71/86.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to find a common denominator. In this case, the common denominator is 21*86 = 1806.

    Converting the fractions:
    69/21 = (69*86)/(21*86) = 5924/1806
    71/86 = (71*21)/(86*21) = 1491/1806

    Adding the fractions:
    5924/1806 + 1491/1806 = (5924 + 1491)/1806 = 7415/1806

    ### Answer: 7415/1806.

Expected answer: 2475/602

Correct? No

🔗 Problem

Problem: What is the sum of 24/60 and 42/45? Answer as a simplified fraction.

GPT-3.5 Turbo:

    To find the sum of 24/60 and 42/45, we need to first find a common denominator. The least common multiple of 60 and 45 is 180.

    Converting 24/60 to have a denominator of 180, we get 24/60 = 72/180.

    Converting 42/45 to have a denominator of 180, we get 42/45 = 168/180.

    Now, adding the fractions: 72/180 + 168/180 = 240/180 = 4/3.

    ### Answer: 4/3.

Expected answer: 4/3

Correct? Yes

🔗 Follow-up

Problem: If we take the sum of 24/60 and 42/45 from the previous problem, and add it to the fraction 66/12, what is the new total? Answer as a simplified fraction.

GPT-3.5 Turbo:

    We found the sum of 24/60 and 42/45 to be 4/3 in the previous problem.

    Adding 4/3 to 66/12, we first need to find a common denominator. The least common multiple of 3 and 12 is 12.

    Converting 4/3 to have a denominator of 12, we get 16/12.

    Adding 16/12 and 66/12, we get 82/12.

    ### Answer: 82/12.

Expected answer: 41/6

Correct? Yes

🔗 Follow-up

Problem: In the previous problem, suppose the fraction we added to 24/60 was actually 42/67, not 42/45. What would the new total be? Answer as a simplified fraction.

GPT-3.5 Turbo:

    To find the sum of 24/60 and 42/67, we need to first find a common denominator. The least common multiple of 60 and 67 is 4020.

    Converting 24/60 to have a denominator of 4020, we get 24/60 = 1616/4020.

    Converting 42/67 to have a denominator of 4020, we get 42/67 = 2520/4020.

    Now, adding the fractions: 1616/4020 + 2520/4020 = 4136/4020 = 2068/2010 = 1034/1005.

    ### Answer: 1034/1005.

Expected answer: 344/335

Correct? No

🔗 Problem

Problem: What is the sum of 64/76 and 35/33?

GPT-3.5 Turbo:

    To find the sum of fractions, we need to have a common denominator. In this case, the common denominator is 76 * 33 = 2508.

    64/76 = (64 * 33) / (76 * 33) = 2112 / 2508

    35/33 = (35 * 76) / (33 * 76) = 2660 / 2508

    Now, adding the fractions:

    2112/2508 + 2660/2508 = (2112 + 2660) / 2508 = 4772 / 2508

    ### Answer: 4772/2508

Expected answer: 1193/627

Correct? Yes

🔗 Follow-up

Problem: After finding the sum of 64/76 and 35/33, what is the result when you add 47/38 to that sum?

GPT-3.5 Turbo:

    We already found the sum of 64/76 and 35/33 to be 4772/2508.

    Now, we need to add 47/38 to this sum. To do this, we need to find a common denominator, which is 2508 * 38 = 95264.

    4772/2508 = (4772 * 38) / (2508 * 38) = 181336 / 95264

    47/38 = (47 * 2508) / (38 * 2508) = 117676 / 95264

    Adding these fractions:

    181336/95264 + 117676/95264 = (181336 + 117676) / 95264 = 299012 / 95264

    ### Answer: 299012/95264

Expected answer: 3937/1254

Correct? No

🔗 Follow-up

Problem: After reconsidering the previous problem, suppose initially there were 43/76 of an orange instead of 64/76. What will be the new sum when you add it to the same 35/33 of an apple?

GPT-3.5 Turbo:

    If initially there were 43/76 of an orange, we have:

    43/76 + 35/33

    To find the sum, we need to have a common denominator. The common denominator is 76 * 33 = 2508.

    43/76 = (43 * 33) / (76 * 33) = 1419 / 2508

    Adding the fractions:

    1419/2508 + 35/33 = (1419 + 2508*35) / 2508 = (1419 + 87780) / 2508 = 89199 / 2508

    ### Answer: 89199/2508

Expected answer: 4079/2508

Correct? No

🔗 Problem

Problem: What is the sum of 47/16 and 96/10? Please, express your answer as a mixed fraction if necessary.

GPT-3.5 Turbo:

    To add the fractions 47/16 and 96/10, we need to find a common denominator. The least common multiple of 16 and 10 is 80.

    Converting 47/16 to have a denominator of 80:
    47/16 = (47*5)/(16*5) = 235/80

    Converting 96/10 to have a denominator of 80:
    96/10 = (96*8)/(10*8) = 768/80

    Now, we can add the fractions:
    235/80 + 768/80 = (235 + 768)/80 = 1003/80

    Expressing the sum as a mixed fraction:
    1003 ÷ 80 = 12 with a remainder of 43
    So, the sum is 12 43/80.

    ### Answer: 12 43/80.

Expected answer: 1003/80

Correct? Yes

🔗 Follow-up

Problem: Following up on the last problem, after you find the sum of 47/16 and 96/10, subtract 72/22 from that sum. What is the result?

GPT-3.5 Turbo:

    First, let's find the sum of 47/16 and 96/10, which we found to be 1003/80 or 12 43/80.

    Now, we need to subtract 72/22 from this sum.

    Converting 72/22 to have a denominator of 80:
    72/22 = (72*4)/(22*4) = 288/88

    Subtracting 288/88 from 1003/80:
    12 43/80 - 288/88 = (12*80 + 43 - 288)/80 = (960 + 43 - 288)/80 = 715/80

    Expressing the result as a mixed fraction:
    715 ÷ 80 = 8 with a remainder of 75
    So, the result is 8 75/80.

    ### Answer: 8 75/80.

Expected answer: 8153/880

Correct? No

🔗 Follow-up

Problem: Following the last problem where you added 47/16 and 96/10, let's consider a slightly different scenario: What if you were to add 47/16 and 64/10 instead? What would be the sum?

GPT-3.5 Turbo:

    To add the fractions 47/16 and 64/10, we need to find a common denominator. The least common multiple of 16 and 10 is 80.

    Converting 47/16 to have a denominator of 80:
    47/16 = (47*5)/(16*5) = 235/80

    Converting 64/10 to have a denominator of 80:
    64/10 = (64*8)/(10*8) = 512/80

    Now, we can add the fractions:
    235/80 + 512/80 = (235 + 512)/80 = 747/80

    Expressing the sum as a mixed fraction:
    747 ÷ 80 = 9 with a remainder of 27
    So, the sum is 9 27/80.

    ### Answer: 9 27/80.

Expected answer: 747/80

Correct? Yes

🔗 Problem

Problem: What is the result of the operation (58 / 2) + (31 / 32)?

GPT-3.5 Turbo:

    Reasoning:
    (58 / 2) = 29
    (31 / 32) ≈ 0.96875
    Therefore, (58 / 2) + (31 / 32) = 29 + 0.96875 ≈ 29.96875.

    ### Answer: 29.96875

Expected answer: 959/32

Correct? Yes

🔗 Follow-up

Problem: After you have calculated the result of the operation (58 / 2) + (31 / 32), subtract 90 / 58 from your answer. What is the final result?

GPT-3.5 Turbo:

    First, we calculated (58 / 2) + (31 / 32) to be approximately 29.96875.

    Now, we need to subtract 90 / 58 from this result:
    90 / 58 ≈ 1.55172

    Therefore, 29.96875 - 1.55172 ≈ 28.41703.

    ### Answer: 28.41703

Expected answer: 26371/928

Correct? No

🔗 Follow-up

Problem: In the problem of adding (58 / 2) + (31 / 32), what would the result be if we originally had (58 / 2) + (10 / 32) instead? Now, compute the value.

GPT-3.5 Turbo:

    If we have (58 / 2) + (10 / 32) instead, we would have:
    (58 / 2) = 29
    (10 / 32) = 0.3125
    Therefore, (58 / 2) + (10 / 32) = 29 + 0.3125 = 29.3125.

    ### Answer: 29.3125

Expected answer: 469/16

Correct? No

🔗 Problem

Problem: What is the sum of 26/90 and 50/26 when calculated as a fraction?

GPT-3.5 Turbo:

    To add the fractions 26/90 and 50/26, we need to find a common denominator. The least common multiple of 90 and 26 is 90*26 = 2340.

    Rewriting the fractions with the common denominator:
    26/90 = (26*26)/(90*26) = 676/2340
    50/26 = (50*90)/(26*90) = 4500/2340

    Adding the fractions:
    676/2340 + 4500/2340 = (676 + 4500)/2340 = 5176/2340

    ### Answer: 5176/2340.

Expected answer: 1294/585

Correct? Yes

🔗 Follow-up

Problem: After you have calculated the sum of 26/90 and 50/26, subtract 92/89 from the result of that sum. What is the final value as a fraction?

GPT-3.5 Turbo:

    First, we need to find the sum of 26/90 and 50/26, which we found to be 5176/2340.

    Subtracting 92/89 from 5176/2340:
    5176/2340 - 92/89

    To subtract these fractions, we need a common denominator. The least common multiple of 2340 and 89 is 2340*89 = 208260.

    Rewriting the fractions with the common denominator:
    5176/2340 = (5176*89)/(2340*89) = 460264/208260
    92/89 = (92*2340)/(89*2340) = 214080/208260

    Subtracting the fractions:
    460264/208260 - 214080/208260 = (460264 - 214080)/208260 = 246184/208260 = 123092/104130

    ### Answer: 123092/104130.

Expected answer: 61346/52065

Correct? No

🔗 Follow-up

Problem: After calculating the sum of 26/90 and 50/26, suppose instead you added 26/90 and 50/38. How would the result change? Please give the answer as a simplified fraction.

GPT-3.5 Turbo:

    To add the fractions 26/90 and 50/38, we need to find a common denominator. The least common multiple of 90 and 38 is 90*38 = 3420.

    Rewriting the fractions with the common denominator:
    26/90 = (26*38)/(90*38) = 988/3420
    50/38 = (50*90)/(38*90) = 4500/3420

    Adding the fractions:
    988/3420 + 4500/3420 = (988 + 4500)/3420 = 5488/3420

    Simplifying the fraction:
    5488/3420 = 1372/855

    ### Answer: 1372/855.

Expected answer: 1372/855

Correct? Yes

🔗 Problem

Problem: Calculate the sum of 80/98 and 92/82.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. In this case, the common denominator is 98 * 82 = 8036.

    \( \frac{80}{98} = \frac{80 \times 82}{98 \times 82} = \frac{6560}{8036} \)

    \( \frac{92}{82} = \frac{92 \times 98}{82 \times 98} = \frac{9016}{8036} \)

    Now, we can add the fractions:

    \( \frac{6560}{8036} + \frac{9016}{8036} = \frac{6560 + 9016}{8036} = \frac{15576}{8036} \)

    ### Answer: \( \frac{15576}{8036} \)

Expected answer: 3894/2009

Correct? Yes

🔗 Follow-up

Problem: After calculating the sum of 80/98 and 92/82, what would the result be if we added this sum to itself?

GPT-3.5 Turbo:

    Reasoning: We found that the sum of \( \frac{80}{98} \) and \( \frac{92}{82} \) is \( \frac{15576}{8036} \).

    To add this sum to itself, we simply multiply the numerator by 2:

    \( \frac{15576}{8036} + \frac{15576}{8036} = \frac{15576 + 15576}{8036} = \frac{31152}{8036} \)

    ### Answer: \( \frac{31152}{8036} \)

Expected answer: 7788/2009

Correct? Yes

🔗 Problem

Problem: Calculate the sum of 89/44 and 69/5.

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 44 and 5 is 220. We rewrite the fractions with the common denominator:
    89/44 = (89*5)/(44*5) = 445/220
    69/5 = (69*44)/(5*44) = 3036/220
    Now, we add the fractions:
    445/220 + 3036/220 = (445 + 3036)/220 = 3481/220
    ### Answer: 3481/220.

Expected answer: 3481/220

Correct? Yes

🔗 Follow-up

Problem: What would be the result if you added together the sum of 89/44 and 69/5 to itself?

GPT-3.5 Turbo:

    Reasoning: We found that the sum of 89/44 and 69/5 is 3481/220. To add this sum to itself, we simply multiply the sum by 2:
    3481/220 * 2 = (3481 * 2) / 220 = 6962/220
    ### Answer: 6962/220.

Expected answer: 3481/110

Correct? Yes

🔗 Follow-up

Problem: What would be the result if we instead added 89/44 and 69/38, rather than 89/44 and 69/5 as was done in the original problem?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to have a common denominator. The least common multiple of 44 and 38 is 836. We rewrite the fractions with the common denominator:
    89/44 = (89*19)/(44*19) = 1691/836
    69/38 = (69*22)/(38*22) = 1518/836
    Now, we add the fractions:
    1691/836 + 1518/836 = (1691 + 1518)/836 = 3209/836
    ### Answer: 3209/836.

Expected answer: 3209/836

Correct? Yes

🔗 Problem

Problem: Calculate the following expression: 79/32 - 52/55.

GPT-3.5 Turbo:

    To subtract fractions, we need to have a common denominator. The least common multiple of 32 and 55 is 32*55 = 1760.

    Rewriting the fractions with the common denominator:
    79/32 = (79*55)/(32*55) = 4345/1760
    52/55 = (52*32)/(55*32) = 1664/1760

    Now, we can subtract the fractions:
    4345/1760 - 1664/1760 = (4345 - 1664)/1760 = 2681/1760

    ### Answer: 2681/1760.

Expected answer: 2681/1760

Correct? Yes

🔗 Follow-up

Problem: Let's extend the previous problem. If you take the result of 79/32 - 52/55 and add it to 42/99, what is the new result?

GPT-3.5 Turbo:

    We already found that 79/32 - 52/55 = 2681/1760.

    Now, we need to add 2681/1760 to 42/99. To add fractions, we need a common denominator. The least common multiple of 1760 and 99 is 1760*99 = 174240.

    Rewriting the fractions with the common denominator:
    2681/1760 = (2681*99)/(1760*99) = 265419/174240
    42/99 = (42*1760)/(99*1760) = 73920/174240

    Now, we can add the fractions:
    265419/174240 + 73920/174240 = (265419 + 73920)/174240 = 339339/174240

    ### Answer: 339339/174240.

Expected answer: 10283/5280

Correct? Yes

🔗 Follow-up

Problem: Suppose instead of the original problem where we subtracted 52/55 from 79/32, we now subtract 7/55 from 79/32 instead. What is the new result?

GPT-3.5 Turbo:

    To subtract fractions, we need to have a common denominator. The least common multiple of 32 and 55 is 32*55 = 1760.

    Rewriting the fractions with the common denominator:
    79/32 = (79*55)/(32*55) = 4345/1760
    7/55 = (7*32)/(55*32) = 224/1760

    Now, we can subtract the fractions:
    4345/1760 - 224/1760 = (4345 - 224)/1760 = 4121/1760

    ### Answer: 4121/1760.

Expected answer: 4121/1760

Correct? Yes

🔗 Problem

Problem: If Wooden Treasures, a furniture workshop, cuts a log into pieces. Each piece is 45/2 feet long. If they sell a piece of wood that is 18/90 feet shorter than the usual length, how long is the piece they sold?

GPT-3.5 Turbo:

    To find the length of the piece they sold, we need to subtract 18/90 feet from the usual length of 45/2 feet:
    45/2 - 18/90 = 225/10 - 2/10 = 223/10 = 22.3 feet.

    ### Answer: 22.3 feet.

Expected answer: 223/10

Correct? No

🔗 Problem

Problem: What is the sum of 99/92 and 15/74 as a simplified fraction?

GPT-3.5 Turbo:

    To find the sum of fractions, we need to have a common denominator. The least common multiple of 92 and 74 is 92*74 = 6808.

    Converting 99/92 and 15/74 to have a common denominator of 6808:
    99/92 = (99*74)/(92*74) = 7326/6808
    15/74 = (15*92)/(74*92) = 1380/6808

    Adding the fractions:
    7326/6808 + 1380/6808 = (7326 + 1380)/6808 = 8706/6808

    Therefore, the sum of 99/92 and 15/74 as a simplified fraction is 8706/6808.
    ### Answer: 8706/6808.

Expected answer: 4353/3404

Correct? Yes

🔗 Follow-up

Problem: Following the previous problem, add the result of 99/92 + 15/74 to 27/71. What is the new sum as a simplified fraction?

GPT-3.5 Turbo:

    We already found that 99/92 + 15/74 = 8706/6808.

    Now, we need to add 8706/6808 to 27/71. To add these fractions, we need to find a common denominator. The least common multiple of 6808 and 71 is 6808*71 = 483368.

    Converting 8706/6808 and 27/71 to have a common denominator of 483368:
    8706/6808 = (8706*71)/(6808*71) = 617526/483368
    27/71 = (27*6808)/(71*6808) = 183816/483368

    Adding the fractions:
    617526/483368 + 183816/483368 = (617526 + 183816)/483368 = 801342/483368

    Therefore, the sum of (99/92 + 15/74) + 27/71 as a simplified fraction is 801342/483368.
    ### Answer: 801342/483368.

Expected answer: 400971/241684

Correct? No

🔗 Follow-up

Problem: Instead of the previous calculation, what would be the sum of 99/92 and 15/54 as a simplified fraction?

GPT-3.5 Turbo:

    To find the sum of fractions, we need to have a common denominator. The least common multiple of 92 and 54 is 92*54 = 4968.

    Converting 99/92 and 15/54 to have a common denominator of 4968:
    99/92 = (99*54)/(92*54) = 5346/4968
    15/54 = (15*92)/(54*92) = 1380/4968

    Adding the fractions:
    5346/4968 + 1380/4968 = (5346 + 1380)/4968 = 6726/4968

    Therefore, the sum of 99/92 and 15/54 as a simplified fraction is 6726/4968.
    ### Answer: 6726/4968.

Expected answer: 1121/828

Correct? Yes

🔗 Problem

Problem: Calculate the result of 54/1 + 62/30. Express your answer in simplest terms.

GPT-3.5 Turbo:

    First, we simplify 54/1 to 54 and 62/30 to 31/15. Then, we add the two fractions together:

    54 + 31/15 = 54 + 2 1/15 = 56 1/15.

    Therefore, the result is 56 1/15.
    ### Answer: 56 1/15.

Expected answer: 841/15

Correct? Yes

🔗 Follow-up

Problem: If we subtract 53/41 from the result of 54/1 + 62/30, what is the new result? Express your answer in simplest terms.

GPT-3.5 Turbo:

    First, we calculate the result of 54/1 + 62/30, which we found to be 56 1/15.

    Next, we subtract 53/41 from 56 1/15. To do this, we need to find a common denominator, which is 41*15 = 615.

    Converting 56 to have the same denominator:
    56 = 56 * 15/15 = 840/15.

    Now, we can subtract 53/41 from 840/15:
    840/15 - 53/41 = (840*41)/(15*41) - (53*15)/(41*15) = 34440/615 - 795/615 = 33645/615 = 55.

    Therefore, the new result is 55.
    ### Answer: 55.

Expected answer: 33686/615

Correct? No

🔗 Follow-up

Problem: If we had originally started with 93 instead of 54, and added 62/30 to that, what would be the new result? Express the answer in simplest terms.

GPT-3.5 Turbo:

    First, we simplify 62/30 to 31/15. Then, we add 93 and 31/15 together:

    93 + 31/15 = 93 + 2 1/15 = 95 1/15.

    Therefore, the new result would be 95 1/15.
    ### Answer: 95 1/15.

Expected answer: 1426/15

Correct? Yes

🔗 Problem

Problem: What value do you get by adding 85/29 and 47/7?

GPT-3.5 Turbo:

    Reasoning: To add fractions, we need to find a common denominator. The least common multiple of 29 and 7 is 203. So, we rewrite the fractions with a common denominator:
    85/29 = (85*7)/(29*7) = 595/203
    47/7 = (47*29)/(7*29) = 1363/203

    Now, we add the fractions:
    595/203 + 1363/203 = (595 + 1363)/203 = 1958/203

    ### Answer: 1958/203.

Expected answer: 1958/203

Correct? Yes

🔗 Follow-up

Problem: After finding the result of adding 85/29 and 47/7, what is the new total if you also add 81/42?

GPT-3.5 Turbo:

    Reasoning: To add 1958/203 and 81/42, we need to find a common denominator. The least common multiple of 203 and 42 is 8586. So, we rewrite the fractions with a common denominator:
    1958/203 = (1958*42)/(203*42) = 82136/8586
    81/42 = (81*203)/(42*203) = 16443/8586

    Now, we add the fractions:
    82136/8586 + 16443/8586 = (82136 + 16443)/8586 = 98579/8586

    ### Answer: 98579/8586.

Expected answer: 4699/406

Correct? No

🔗 Follow-up

Problem: After calculating the result from the previous problem, consider a new situation: You have now 85/64 of a pound of oranges and 47/7 pounds of apples. What is the new total weight of your fruits in pounds?

GPT-3.5 Turbo:

    Reasoning: To find the total weight of the fruits, we need to add the weights of the oranges and apples. We already have the weights in fractions:

    85/64 pounds of oranges
    47/7 pounds of apples

    To add these fractions, we need to find a common denominator. The least common multiple of 64 and 7 is 448. So, we rewrite the fractions with a common denominator:
    85/64 = (85*7)/(64*7) = 595/448
    47/7 = (47*64)/(7*64) = 3008/448

    Now, we add the fractions:
    595/448 + 3008/448 = (595 + 3008)/448 = 3603/448

    ### Answer: 3603/448 pounds.

Expected answer: 3603/448

Correct? Yes