🔗 Problem

Problem: John has been learning to add and subtract fractions at school. He was given a problem during his homework that puzzled him. He had to take the sum of 48/56 and 95/23 and then subtract 34/26 from the result. What was the value that John found for this operation? Answer in simplest form.

Gemma 2B:

      To solve this problem, we need to follow the order of operations (PEMDAS):

    1. Add 48/56 and 95/23:
    48/56 + 95/23 = 143/56
    2. Subtract 34/26 from the result:
    143/56 - 34/26 = 109/56

    Therefore, the value that John found for this operation is 109/56 in simplest form.

Expected answer: 7702/2093

Correct? No

🔗 Problem

Problem: First, add the fractions 88/9 and 28/65. Then subtract the fraction 18/37 from the result. What is the result expressed as a simple fraction?

Gemma 2B:

      Reasoning:

    1. Add the fractions 88/9 and 28/65:

    88/9 + 28/65 = 116/9 + 28/65 = <<116/9+28/65=144/9>>144/9

    2. Subtract the fraction 18/37 from the result:

    144/9 - 18/37 = <<144/9-18/37=126/9>>126/9

    Therefore, the result expressed as a simple fraction is 126/9.

Expected answer: 210434/21645

Correct? No

🔗 Problem

Problem: What is the result of (63 / 41) + (44 / 50) when simplified to the lowest terms?

Gemma 2B:

      The result of (63 / 41) + (44 / 50) when simplified to the lowest terms is 13/20.

Expected answer: 2477/1025

Correct? No

🔗 Problem

Problem: John had 71/41 of a cake left and Emily added 41/77 of another cake to it. How much cake is there in total? Give your answer as a simplified fraction.

Gemma 2B:

      John had 71/41 of a cake left, which means he had 71/41 of the total cake.
    Emily added 41/77 of another cake to it, which means she added 41/77 of the total cake.

    To find the total amount of cake, we need to add the fractions:
    71/41 + 41/77 = 112/298

    Therefore, there is a total of 112/298 of cake.

    ### Answer: 112/298

Expected answer: 7148/3157

Correct? No

🔗 Problem

Problem: Calculate the result of 10/65 + 56/35. Answer as a simple fraction.

Gemma 2B:

      To calculate the result of 10/65 + 56/35, we need to first simplify the fractions.

    10/65 = 1/6
    56/35 = 16/7

    Now we can add the fractions:

    1/6 + 16/7 = 7/6 + 16/7 = 23/7

    So the result of 10/65 + 56/35 is 23/7.

Expected answer: 114/65

Correct? No

🔗 Problem

Problem: What is the result of adding 75/81 and 97/47? Leave your answer as an unsimplified fraction.

Gemma 2B:

      The result of adding 75/81 and 97/47 is 75/81 + 97/47 = 172/328.

Expected answer: 3794/1269

Correct? No

🔗 Problem

Problem: What is 88/1 - 38/53? Give your answer as a simplified fraction.

Gemma 2B:

      To find 88/1 - 38/53, we need to find the common denominator of both fractions. The least common multiple of 1 and 53 is 53.

    So, we can rewrite the fractions as:

    88/1 = 88/53
    38/53 = 38/53

    Now we can subtract:

    88/53 - 38/53 = 50/53

    Therefore, 88/1 - 38/53 is equal to 50/53.

Expected answer: 4626/53

Correct? No

🔗 Problem

Problem: Evaluate the expression ((80 / 94) + (78 / 59)). What is the answer in simplified form?

Gemma 2B:

      To evaluate the expression ((80 / 94) + (78 / 59)), we need to perform the following steps:

    1. Calculate the value of (80 / 94) = 0.84
    2. Calculate the value of (78 / 59) = 1.31
    3. Add the two values: 0.84 + 1.31 = 2.15

    Therefore, the answer in simplified form is 2.15.

Expected answer: 6026/2773

Correct? No

🔗 Problem

Problem: What is the sum of 89/56 and 48/50? Answer as a simplified fraction.

Gemma 2B:

      To find the sum of 89/56 and 48/50, we need to find the least common multiple (LCM) of the denominators, which is 280.

    89/56 = 16/17
    48/50 = 8/9

    So, the sum is 16/17 + 8/9 = 24/17.

    The simplified fraction is 12/17.

    ### Answer: 12/17

Expected answer: 3569/1400

Correct? No

🔗 Problem

Problem: What is the result when you subtract 38/87 from the sum of 96/11 and 12/5? Please leave your answer as a fraction.

Gemma 2B:

      To find the result, we need to follow the order of operations (PEMDAS):

    1. Calculate the sum of 96/11 and 12/5:
    96/11 + 12/5 = 108/11 + 24/11 = 132/11
    2. Subtract 38/87 from the sum:
    132/11 - 38/87 = 94/11

    Therefore, the result is 94/11.

Expected answer: 51154/4785

Correct? No

🔗 Problem

Problem: If you have a number that's 82 divided by 9 and from this you subtract 82 divided by 63, what's the resulting value? Answer as a simplified fraction.

Gemma 2B:

      If we divide 82 by 9, we get 9. If we divide 82 by 63, we get 1.32.

    So, if we subtract 1.32 from 9, we get 7.78.

    Therefore, the resulting value is 7 7/10.

Expected answer: 164/21

Correct? No

🔗 Problem

Problem: Calculate the value of 23/3 minus the sum of 80/91 and 26/24. Answer as a simple fraction.

Gemma 2B:

      To calculate the value of 23/3 minus the sum of 80/91 and 26/24, we need to follow the order of operations (PEMDAS):

    1. Calculate the sum of 80/91 and 26/24:
    80/91 + 26/24 = 106/91
    2. Subtract the sum from 23/3:
    23/3 - 106/91 = -83/91

    Therefore, the value of 23/3 minus the sum of 80/91 and 26/24 is -83/91.

Expected answer: 6229/1092

Correct? No

🔗 Problem

Problem: What is the sum of 37/18 and 24/60 when simplified to the lowest terms?

Gemma 2B:

      Reasoning:

    37/18 = 2

    24/60 = 1/3

    The sum of 37/18 and 24/60 is 2 + 1/3 = 5/3.

    ### Answer: 5/3

Expected answer: 221/90

Correct? No

🔗 Problem

Problem: Determine the sum of 33/41 and 95/62. Write your answer as a simplified fraction.

Gemma 2B:

      To find the sum of 33/41 and 95/62, we need to add the numerators and denominators separately.

    Numerator: 33 + 95 = 128
    Denominator: 41 + 62 = 103

    Now, we need to simplify the fraction by dividing both the numerator and denominator by the greatest common divisor (GCD) of the denominator.

    GCD(103, 128) = 1

    So, the simplified fraction is:

    128/103 + 95/62 = 223/103 + 95/62 = 318/103

    Therefore, the sum of 33/41 and 95/62 is 318/103.

Expected answer: 5941/2542

Correct? No

🔗 Problem

Problem: Solve ((30 / 11) + (72 / 38)) and then add the result to (81 / 34). Answer as a simplified fraction.

Gemma 2B:

      ((30 / 11) + (72 / 38)) = (30/11) + (24/19) = (30 + 24)/(11 + 19) = 54/30

    (81 / 34) + (54/30) = (81 + 54)/(34 + 30) = 135/64

    Therefore, the simplified fraction is 135/64.

Expected answer: 49773/7106

Correct? No

🔗 Problem

Problem: What is the result of adding (64 / 34) + (3 / 24) and then adding the result to (41 / 96)? Answer as a simplified fraction.

Gemma 2B:

      To add (64 / 34) + (3 / 24), we need to find the least common denominator (LCD) of 34 and 24, which is 252.

    So, we can rewrite the fractions as:

    (64 / 34) = (64 × 24) / (34 × 24) = 144 / 84

    (3 / 24) = (3 × 34) / (24 × 34) = 102 / 72

    Now, we can add the fractions:

    (144 / 84) + (102 / 72) = 246 / 156

    To add the result to (41 / 96), we need to find the LCD of 156 and 96, which is 144.

    So, we can rewrite the fractions as:

    (246 / 156) + (41 / 96) = (246 × 96) / (156 × 96) + (41 × 156) / (96 × 156) = 23046 / 14736 + 6566 / 14736 = 30012 / 14736

    Therefore, the result of adding (64 / 34) + (3 / 24) and then adding the result to (41 / 96) is 30012 / 14736, simplified as 15 / 9.

Expected answer: 3973/1632

Correct? No

🔗 Problem

Problem: Daniel has to solve a math problem for his homework that includes fractions. Initially, he has been asked to add 83/73 and 53/77. The result of this step he saved as 'w'. Then, he needs to add 80/76 to the result 'w'. How would he calculate the final answer in simplified fraction form?

Gemma 2B:

      To calculate the final answer in simplified fraction form, Daniel can follow these steps:

    1. Add 83/73 and 53/77:

    83/73 + 53/77 = 136/150

    This is the value of 'w'.

    2. Add 80/76 to 'w':

    136/150 + 80/76 = 216/226

    The final answer is 216/226 in simplified fraction form.

Expected answer: 307360/106799

Correct? No

🔗 Problem

Problem: Add the following fractions and simplify your answer: 27/20 and 14/66.

Gemma 2B:

      Reasoning:

    27/20 + 14/66 = <<27/20+14/66=31/20+7/66=38/66>>38/66

    ### Answer: 38/66

Expected answer: 1031/660

Correct? No

🔗 Problem

Problem: What is the result of the expression ((32 / 14) - (22 / 47))? Write your answer as a simplified fraction.

Gemma 2B:

      To find the result of the expression ((32 / 14) - (22 / 47)), we need to follow the order of operations (PEMDAS):

    1. Divide 32 by 14: 32 ÷ 14 = 2
    2. Divide 22 by 47: 22 ÷ 47 = 1/2
    3. Subtract 1/2 from 2: 2 - 1/2 = 3/2

    Therefore, the result of the expression ((32 / 14) - (22 / 47)) is 3/2.

Expected answer: 598/329

Correct? No

🔗 Problem

Problem: What is the sum of 74/61 and 41/53 expressed in fractions?

Gemma 2B:

      To find the sum of 74/61 and 41/53 expressed in fractions, we need to add the numerators (74 and 41) and the denominators (61 and 53).

    74/61 + 41/53 = (74 + 41)/(61 + 53)

    = 115/114

    Therefore, the sum of 74/61 and 41/53 expressed in fractions is 115/114.

Expected answer: 6423/3233

Correct? No

🔗 Problem

Problem: First, find out the result of 94 / 2 - 74 / 57. Then add the result to 56 / 97. What fraction do you get?

Gemma 2B:

      To find the result of 94 / 2 - 74 / 57, we need to perform the following steps:

    1. Calculate 94 / 2: 94 / 2 = 47
    2. Calculate 74 / 57: 74 / 57 = 1.3
    3. Subtract the result of step 2 from the result of step 1: 47 - 1.3 = 45.7

    Now, let's add the result of step 3 to 56 / 97:

    1. Calculate 56 / 97: 56 / 97 = 0.58
    2. Add the result of step 3 to the result of step 1: 0.58 + 45.7 = 46.28

    Therefore, the fraction we get is 46.28.

Expected answer: 255877/5529

Correct? No

🔗 Problem

Problem: What is the sum of 14/89 and the sum of 24/34 and 44/87? Give your answer as a simplified fraction.

Gemma 2B:

      The sum of 14/89 is 14/89.

    The sum of 24/34 and 44/87 is (24+44)/(34+87), which simplifies to 68/121.

    Therefore, the sum of 14/89 and the sum of 24/34 and 44/87 is 14/89 + 68/121 = 82/121.

Expected answer: 180194/131631

Correct? No

🔗 Problem

Problem: What would you get if you add 73/30 to 8/60?

Gemma 2B:

      To add 73/30 and 8/60, we need to find the common denominator. The least common multiple of 30 and 60 is 60.

    So, we can convert 73/30 to 73/60 and 8/60 to 8/60:

    73/60 + 8/60 = 81/60

    Therefore, if you add 73/30 to 8/60, you get 81/60.

Expected answer: 77/30

Correct? No

🔗 Problem

Problem: Suppose you have the following three fractions: 82/49, 45/60, and 99/59. If you add the first fraction (82/49) with the second one (45/60), call this result 'd'. Then, add 'd' to the third fraction (99/59). What would be the resulting sum? Please provide your answer as a simplified fraction.

Gemma 2B:

      To find the resulting sum, we need to follow the given steps:

    1. Add the first two fractions:
    82/49 + 45/60 = 127/109
    2. Add the result from step 1 to the third fraction:
    127/109 + 99/59 = 226/168

    Therefore, the resulting sum is 226/168.

Expected answer: 47429/11564

Correct? No

🔗 Problem

Problem: Solve the following two steps: first, subtract 76/30 from 91/16 and second, add the answer to 18/44. Round the final answer to the nearest hundredth.

Gemma 2B:

      Step 1: Subtract 76/30 from 91/16

    91/16 - 76/30 = 15/16

    Step 2: Add the answer to 18/44

    15/16 + 18/44 = 33/44

    Rounded to the nearest hundredth, the final answer is 33.33/44.

Expected answer: 9407/2640

Correct? No

🔗 Problem

Problem: Calculate the result of ((8 / 91) + (49 / 5)) and subtract (32 / 76) from the result. Provide your answer as a simplified fraction.

Gemma 2B:

      To calculate the result of ((8 / 91) + (49 / 5)), we need to first calculate the values of each fraction and then add them together.

    (8 / 91) = 8/91 = 0.088
    (49 / 5) = 49/5 = 9.8

    Adding these two fractions together gives us:
    0.088 + 9.8 = 9.888

    Now, to subtract (32 / 76) from the result, we need to calculate the value of (32 / 76) and then subtract it from the result.

    (32 / 76) = 32/76 = 0.42

    Subtracting 0.42 from 9.888 gives us:
    9.888 - 0.42 = 9.468

    Therefore, the result of ((8 / 91) + (49 / 5)) - (32 / 76) is 9.468.

Expected answer: 81841/8645

Correct? No

🔗 Problem

Problem: Calculate the value of ((75 / 45) + (5 / 49)) first. Then add this value with 3 / 58. Provide the answer as a simple fraction.

Gemma 2B:

      To calculate the value of ((75 / 45) + (5 / 49)), we need to first calculate the values of each fraction.

    75 / 45 = 1.67
    5 / 49 = 0.102

    Adding these values gives us:

    1.67 + 0.102 = 1.77

    Now, to add 3 / 58 to this value, we can calculate the value of 3 / 58 as follows:

    3 / 58 = 0.051

    Adding 0.051 to 1.77 gives us:

    1.77 + 0.051 = 1.82

    Therefore, the final answer is 1.82.

Expected answer: 15521/8526

Correct? No

🔗 Problem

Problem: Calculate the answer to ((43 / 15) - (33 / 95)) and simplify it to its lowest terms.

Gemma 2B:

      To calculate the answer to ((43 / 15) - (33 / 95)), we need to follow the order of operations (PEMDAS):

    1. Calculate the fractions:
    (43 / 15) = 2.867
    (33 / 95) = 0.347
    2. Subtract the fractions:
    2.867 - 0.347 = 2.52

    Therefore, the answer to ((43 / 15) - (33 / 95)) is 2.52.

    To simplify this fraction to its lowest terms, we can divide both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 1.

    So, the simplified fraction is:
    2.52 / 1 = 2.52

    Therefore, the simplified answer to ((43 / 15) - (33 / 95)) is 2.52.

Expected answer: 718/285

Correct? No

🔗 Problem

Problem: What is the sum of ((78 / 45) + (89 / 36)) added to itself? Answer as a simple fraction.

Gemma 2B:

      The sum of ((78 / 45) + (89 / 36)) is equal to (78 / 45) + (89 / 36) = 163 / 140.

    Adding this expression to itself gives us:

    (163 / 140) + (163 / 140) = 326 / 140

    So the final answer is 326 / 140.

Expected answer: 757/90

Correct? No

🔗 Problem

Problem: Let's consider that 93 is divided by 34 to get a fraction value, from which is subtracted another fraction 77/74. What would be the result as a simplified fraction?

Gemma 2B:

      To find the result of dividing 93 by 34 and subtracting 77/74, we need to perform the following steps:

    1. Divide 93 by 34: 93 ÷ 34 = 2.76
    2. Convert 2.76 to a fraction: 2 7/12
    3. Subtract 77/74 from 2 7/12: 2 7/12 - 77/74 = -75/74

    Therefore, the result of dividing 93 by 34 and subtracting 77/74 is -75/74.

Expected answer: 1066/629

Correct? No

🔗 Problem

Problem: Find the sum of 86/35 and 68/85. Express your answer as a simplified fraction.

Gemma 2B:

      To find the sum of 86/35 and 68/85, we need to add the numerators and denominators separately.

    Numerator: 86 + 68 = 154
    Denominator: 35 + 85 = 120

    So, the sum of 86/35 and 68/85 is 154/120.

    To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 154 and 120, which is 3.

    154/120 = 51/40

    Therefore, the simplified fraction is 51/40.

Expected answer: 114/35

Correct? No

🔗 Problem

Problem: What is the sum of 99/53 and 67/94 in simplest form?

Gemma 2B:

      Reasoning:

    99/53 = 1/6
    67/94 = 2/3

    1/6 + 2/3 = 5/6

    ### Answer: 5/6

Expected answer: 12857/4982

Correct? No

🔗 Problem

Problem: What is the simplified form of the fraction that results from 74/27 minus 56/33?

Gemma 2B:

      To find the simplified form of the fraction that results from 74/27 minus 56/33, we need to subtract the fractions and simplify the result.

    First, we subtract the fractions:

    74/27 - 56/33 = 74/27 - 16/33 = <<74/27-16/33=58/27>>58/27

    Next, we simplify the fraction by dividing both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator:

    58/27 = <<58/27=29/9>>29/9

    Therefore, the simplified form of the fraction that results from 74/27 minus 56/33 is 29/9.

Expected answer: 310/297

Correct? No

🔗 Problem

Problem: Find the result when you subtract 91/65 from the sum of 96/40 and 11/99. Leave your answer as a simplified fraction.

Gemma 2B:

      To find the result when you subtract 91/65 from the sum of 96/40 and 11/99, we need to follow the order of operations (PEMDAS):

    1. Add 96/40 and 11/99:
    96/40 + 11/99 = 112/40 + 11/99 = 123/40
    2. Subtract 91/65 from 123/40:
    123/40 - 91/65 = 32/40

    Therefore, the result when you subtract 91/65 from the sum of 96/40 and 11/99 is 32/40.

Expected answer: 10/9

Correct? No

🔗 Problem

Problem: Calculate the sum of the following expressions: 1) Divide 10 by 5 and add that result to 35 divided by 27. This will give you a value h. 2) Then, add 47 divided by 99 to h. This will give you a value p. What is the value of p?

Gemma 2B:

      To calculate the sum of the expressions, we need to follow the order of operations (PEMDAS):

    1. Divide 10 by 5 and add that result to 35 divided by 27:

    10 ÷ 5 = 2

    35 ÷ 27 = 1

    2 + 1 = 3

    So, h = 3.

    2. Add 47 divided by 99 to h:

    47 ÷ 99 = 0.47

    3 + 0.47 = 3.47

    So, p = 3.47.

Expected answer: 1120/297

Correct? No

🔗 Problem

Problem: Consider the fraction 90/81. Add it to 2/66 and simplify your answer to the simplest form. What is the result?

Gemma 2B:

      Reasoning:

    1. 90/81 + 2/66 = <<90/81+2/66=11/27>>11/27

    Explanation:

    To add fractions with different denominators, we need to find the least common multiple (LCM) of the denominators. In this case, the LCM of 81 and 66 is 81 \* 66 = 5356.

    So, we can rewrite the fractions as:

    90/81 = 90 \* 66 / 5356 = <<90\*66/5356=11/27>>11/27
    2/66 = 2 \* 81 / 5356 = <<2\*81/5356=11/27>>11/27

    Therefore, the sum of the two fractions is 11/27.

    ### Answer: 11/27

Expected answer: 113/99

Correct? No

🔗 Problem

Problem: If Oliver has a piece of ribbon that is 56/41 yards long and he gets another piece of the same length, how long would both pieces of ribbon be together?

Gemma 2B:

      Reasoning: Oliver has a piece of ribbon that is 56/41 yards long.
    If he gets another piece of the same length, the total length of both pieces of ribbon together would be 56/41 + 56/41 = <<56/41+56/41=112/82>>112/82 yards.
    ### Answer: 112/82 yards.

Expected answer: 112/41

Correct? No

🔗 Problem

Problem: What is the result of 92/75 + 66/92? Please give your answer as a simplified fraction.

Gemma 2B:

      To find the result of 92/75 + 66/92, we need to first simplify the fractions.

    92/75 = 12/15
    66/92 = 3/8

    Now we can add the simplified fractions:

    12/15 + 3/8 = 15/15 = 1

    So the result of 92/75 + 66/92 is 1.

Expected answer: 6707/3450

Correct? No

🔗 Problem

Problem: What is the sum of 32/65 and 73/22? Leave your answer as an unsimplified fraction.

Gemma 2B:

      The sum of 32/65 and 73/22 is 105/65.

Expected answer: 5449/1430

Correct? No

🔗 Problem

Problem: What is the difference between 51/34 and 12/86? Express your answer in its simplest form.

Gemma 2B:

      The difference between 51/34 and 12/86 is 39/52.

    To find the difference, we need to subtract the two fractions:

    51/34 - 12/86 = 51 × 86 - 12 × 34 / 34 × 86 = 4326 - 408 = 3938 / 52 = 39/52

    Therefore, the difference between 51/34 and 12/86 is 39/52.

Expected answer: 117/86

Correct? No

🔗 Problem

Problem: First take the whole number 51 and add it to the fraction 93/8. Take that sum and add it to the fraction 58/44. What is the final result as a simplified fraction?

Gemma 2B:

      To solve this problem, we need to follow the order of operations (PEMDAS):

    1. Add 51 to 93/8: 51 + 93/8 = 144/8
    2. Add 144/8 to 58/44: 144/8 + 58/44 = 192/44

    The final result is 192/44, which is already in its simplest form.

Expected answer: 5627/88

Correct? No

🔗 Problem

Problem: Calculate the result of the following fraction subtraction: 82/5 - 98/25. Write the answer in the simplest form.

Gemma 2B:

      To perform the subtraction, we need to find a common denominator for the fractions. The least common multiple of 5 and 25 is 125.

    So, we can rewrite the fractions as:

    82/5 = 164/125
    98/25 = 196/125

    Now, we can subtract the fractions:

    164/125 - 196/125 = -32/125

    The result of the subtraction is -32/125. This is already in the simplest form, so we do not need to simplify it further.

    Therefore, the result of the fraction subtraction is -32/125.

Expected answer: 312/25

Correct? No

🔗 Problem

Problem: Calculate (64 / 50) + (70 / 22) and provide your answer as an unsimplified fraction.

Gemma 2B:

      To calculate (64 / 50) + (70 / 22), we need to first simplify the fractions and then add them.

    (64 / 50) = 1.28
    (70 / 22) = 3.18

    So, (64 / 50) + (70 / 22) = 1.28 + 3.18 = 4.46

    Therefore, the answer is 4.46.

Expected answer: 1227/275

Correct? No

🔗 Problem

Problem: John calculated s by adding 24 divided by 6 to 40 divided by 53. He then added s to itself to get b. Can you find the value of b?

Gemma 2B:

      Yes, I can find the value of b.

    John calculated s by adding 24 divided by 6 to 40 divided by 53.

    s = 24/6 + 40/53
    s = 4/3 + 8/53
    s = 12/3 + 8/53
    s = 20/3

    Then, John added s to itself to get b.

    b = s + s
    b = 20/3 + 20/3
    b = 40/3

    Therefore, the value of b is 40/3.

Expected answer: 504/53

Correct? No

🔗 Problem

Problem: Calculate ((80 / 90) + (52 / 11)) and express your answer as a mixed number.

Gemma 2B:

      To calculate ((80 / 90) + (52 / 11)), we need to first calculate the fractions and then add them together.

    (80 / 90) = 8/9
    (52 / 11) = 4 5/11

    Now, we add the two fractions:

    8/9 + 4 5/11 = 12 10/99

    So, the final answer is 12 10/99.

Expected answer: 556/99

Correct? No

🔗 Problem

Problem: Calculate the sum of 12/18 and 91/74. Express your answer as a simplified fraction.

Gemma 2B:

      To calculate the sum of 12/18 and 91/74, we need to add the numerators and denominators separately.

    Numerator: 12 + 91 = 103
    Denominator: 18 + 74 = 92

    Therefore, the sum of 12/18 and 91/74 is 103/92.

    To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 103 and 92, which is 3.

    103/92 = 34/28

    Therefore, the simplified fraction is 34/28.

Expected answer: 421/222

Correct? No

🔗 Problem

Problem: Find the sum of the fractions 7/2 and 51/25. Write your answer as a simple fraction.

Gemma 2B:

      To find the sum of the fractions 7/2 and 51/25, we need to add the numerators (7 and 51) and the denominators (2 and 25).

    7 + 51 = 58
    2 + 25 = 27

    So, the sum of the fractions 7/2 and 51/25 is 58/27.

    ### Answer: 58/27

Expected answer: 277/50

Correct? No

🔗 Problem

Problem: Calculate the following expression: ((68 / 69) + (93 / 7)) is a monomial. Add this to (3 / 46). Provide the resulting value as a simple fraction.

Gemma 2B:

      To calculate the expression, we need to follow the order of operations (PEMDAS):

    1. Divide 68 by 69: 68/69 = 0.985
    2. Divide 93 by 7: 93/7 = 13
    3. Add the results of steps 1 and 2: 0.985 + 13 = 14.085
    4. Divide the result of step 3 by 46: 14.085/46 = 0.305

    Therefore, the resulting value is 0.305.

Expected answer: 13849/966

Correct? No

🔗 Problem

Problem: What is the result of adding 31/98 to 60/4? Answer as a simplified fraction.

Gemma 2B:

      To add 31/98 and 60/4, we need to find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both denominators can divide into.

    In this case, the LCD of 98 and 4 is 98 \* 4 = 392.

    So, we can rewrite the fractions as:

    31/98 = 31/392
    60/4 = 60/392

    Now we can add the fractions:

    31/392 + 60/392 = 91/392

    Therefore, the result of adding 31/98 to 60/4 is 91/392, simplified.

Expected answer: 1501/98

Correct? No

🔗 Problem

Problem: Calculate ((3 / 2) + (24 / 36)) and state your answer as a simplified fraction.

Gemma 2B:

      To calculate ((3 / 2) + (24 / 36)), we need to follow the order of operations (PEMDAS):

    1. Calculate the expressions inside the parentheses:
    (3 / 2) = 1.5
    (24 / 36) = 2/3
    2. Add the results:
    1.5 + 2/3 = 1.5 + 0.67 = 2.17

    Therefore, ((3 / 2) + (24 / 36)) = 2.17.

    As a simplified fraction, we can write 2.17 as 13/6.

Expected answer: 13/6

Correct? No

🔗 Problem

Problem: Firstly, calculate the sum of 92/54 and 90/13, then from the result take away 46/41. What's the result as a simplified fraction?

Gemma 2B:

      To calculate the sum of 92/54 and 90/13, we need to find the least common multiple (LCM) of 54 and 13, which is 696.

    92/54 = 16/17
    90/13 = 7/2

    So, the sum of 92/54 and 90/13 is 16/17 + 7/2 = 23/17.

    Now, to find the result of taking away 46/41 from 23/17, we need to find the least common multiple (LCM) of 17 and 41, which is 657.

    23/17 - 46/41 = 23/17 - 13/17 = 10/17

    Therefore, the result as a simplified fraction is 10/17.

Expected answer: 108002/14391

Correct? No

🔗 Problem

Problem: What is twice the value of 29/23? Simplify your answer to the simplest form.

Gemma 2B:

      Twice the value of 29/23 is 58/23.

    In the simplest form, 58/23 can be simplified to 19/7.

Expected answer: 58/23

Correct? No

🔗 Problem

Problem: What is the sum of 29/20 and 17/72? Answer as a simplified fraction.

Gemma 2B:

      Reasoning:

    29/20 + 17/72 = <<29/20+17/72=36/72>>36/72

    ### Answer: 36/72

Expected answer: 607/360

Correct? No

🔗 Problem

Problem: Calculate the value of this expression: ((36 / 27) + (80 / 10)) - (73 / 79). Simplify your answer as much as possible.

Gemma 2B:

      To calculate the value of this expression, we need to follow the order of operations (PEMDAS):

    1. Divide 36 by 27: 36 ÷ 27 = 1.37
    2. Divide 80 by 10: 80 ÷ 10 = 8
    3. Add 1.37 and 8: 1.37 + 8 = 9.37
    4. Subtract 73 from 79: 79 - 73 = 6
    5. Divide 6 by 9.37: 6 ÷ 9.37 = 0.63

    Therefore, the value of the expression is 0.63.

Expected answer: 1993/237

Correct? No

🔗 Problem

Problem: What is the answer to (86 / 71) + (91 / 75)? Answer as a decimal to the nearest hundredth.

Gemma 2B:

      (86 / 71) + (91 / 75) = (1.22) + (1.22) = 2.44.

    Therefore, the answer is 2.44.

Expected answer: 12911/5325

Correct? No

🔗 Problem

Problem: Calculate the following, and express the result as a simplified fraction: ((21 / 75) + (74 / 43)) + (10 / 62)

Gemma 2B:

      To calculate the expression, we need to follow the order of operations (PEMDAS):

    1. Calculate the fractions inside the parentheses:

    (21 / 75) = 0.28
    (74 / 43) = 1.7
    (10 / 62) = 0.16
    2. Add the fractions:

    0.28 + 1.7 + 0.16 = 2.14

    Therefore, the result is 2.14, which can be simplified to 11/5.

Expected answer: 72056/33325

Correct? No

🔗 Problem

Problem: Compute ((75 / 66) + (81 / 61)), and give your answer as a fraction reduced to its lowest term.

Gemma 2B:

      To compute ((75 / 66) + (81 / 61)), we need to first simplify each fraction and then add them together.

    First, we simplify (75 / 66) by dividing both the numerator and denominator by the greatest common divisor (GCD) of 75 and 66, which is 15.

    75 / 66 = 15 / 11

    Next, we simplify (81 / 61) by dividing both the numerator and denominator by the GCD of 81 and 61, which is 7.

    81 / 61 = 11 / 8

    Now we add the simplified fractions:

    15 / 11 + 11 / 8 = 26 / 8

    Therefore, ((75 / 66) + (81 / 61)) = 26 / 8.

Expected answer: 3307/1342

Correct? No

🔗 Problem

Problem: Consider two identical fractions, t, each equal to sum of 53/18 and 21/99. Find the total sum, l, of these fractions and present your answer as a simple fraction.

Gemma 2B:

      Let's denote the two fractions as t1 and t2.

    We know that t1 = 53/18 and t2 = 21/99.

    To find the total sum, l, we can add the two fractions:

    l = t1 + t2
    = (53/18) + (21/99)
    = 74/18

    So, the total sum, l, is equal to 74/18.

Expected answer: 625/99

Correct? No

🔗 Problem

Problem: First, calculate the result of 58/49 + 31/34. Then, add that result to the fraction 74/38. What is the final result as a simple fraction?

Gemma 2B:

      First, let's calculate the result of 58/49 + 31/34:

    58/49 + 31/34 = 119/49 + 31/34 = 150/49

    Now, let's add the result to the fraction 74/38:

    150/49 + 74/38 = 224/49

    The final result is 224/49, which is a simple fraction.

Expected answer: 127971/31654

Correct? No

🔗 Problem

Problem: Calculate the sum of 100 divided by 76 and 29 divided by 14. Please provide your answer as a simplified fraction or decimal.

Gemma 2B:

      Sure! Here are the calculations:

    100 divided by 76 = 100/76 = 1 3/4

    29 divided by 14 = 29/14 = 2 1/7

    So the sum of these two fractions is:

    1 3/4 + 2 1/7 = 3 1/7

    Therefore, the sum of 100 divided by 76 and 29 divided by 14 is 3 1/7.

Expected answer: 901/266

Correct? No

🔗 Problem

Problem: Given that Evan has read 51/18 of his novel, and Olivia has read (8/42) after reading the same amount of novel as Evan, how much of the novel has Olivia read in total? Answer as a simplified fraction.

Gemma 2B:

      Evan has read 51/18 of his novel, which means he has read a total of 51/18 \* 100% = 28.9% of the novel.

    Olivia has read the same amount of novel as Evan, which means she has also read 28.9% of the novel.

    Since Olivia has also read (8/42) of the novel, we can add this to the 28.9% she has already read:

    28.9% + (8/42) = 28.9% + 18.1% = 47%

    Therefore, Olivia has read 47% of the novel in total.

Expected answer: 127/42

Correct? No

🔗 Problem

Problem: What is the sum of 48 divided by 13 and 31 divided by 22? Answer as a fraction or a decimal.

Gemma 2B:

      The sum of 48 divided by 13 is 48/13 = 3 11/13.
    The sum of 31 divided by 22 is 31/22 = 1 11/22.

    Therefore, the sum of 48 divided by 13 and 31 divided by 22 is 3 11/13 + 1 11/22 = 4 22/22 = 4.

Expected answer: 1459/286

Correct? No

🔗 Problem

Problem: First, find the value of 24/86 + 76/77. Subtract your answer from 27/6. Write out your process and show your work.

Gemma 2B:

      To find the value of 24/86 + 76/77, we need to follow the order of operations (PEMDAS):

    1. Divide 24 by 86: 24/86 = 0.281
    2. Divide 76 by 77: 76/77 = 0.986
    3. Add the two fractions: 0.281 + 0.986 = 1.267

    Now, to subtract the answer from 27/6, we need to find the equivalent fraction of 27/6:

    27/6 = 4.5

    Now, we can subtract the two fractions:

    1.267 - 4.5 = -3.233

    Therefore, the final answer is -3.233.

Expected answer: 21415/6622

Correct? No

🔗 Problem

Problem: Find the sum of 73/39 and 49/14, and express your answer as a simplified fraction.

Gemma 2B:

      To find the sum of 73/39 and 49/14, we need to add the numerators and denominators separately.

    Numerator: 73 + 49 = 122
    Denominator: 39 + 14 = 53

    Therefore, the sum of 73/39 and 49/14 is 122/53.

    To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 122 and 53, which is 11.

    122/53 = 11/4

    Therefore, the simplified fraction is 11/4.

Expected answer: 419/78

Correct? No

🔗 Problem

Problem: What is the sum of 75/65 and 7/39? Simplify your answer.

Gemma 2B:

      To find the sum of 75/65 and 7/39, we need to add the two fractions.

    75/65 + 7/39 = 150/65 + 21/39 = <<150/65+21/39=171/65>>171/65

    Therefore, the sum of 75/65 and 7/39 is 171/65.

Expected answer: 4/3

Correct? No

🔗 Problem

Problem: First, calculate 79/1 - 30/92. Then, subtract 61/63 from the result. What value do you get?

Gemma 2B:

      To calculate 79/1 - 30/92, we need to find the least common denominator (LCD) of 1 and 92. The LCD is 92.

    So, we can rewrite the fractions as:

    79/1 = 79/92
    30/92 = 30/92

    Now we can subtract:

    79/92 - 30/92 = 49/92

    Now, to subtract 61/63 from the result, we need to find the LCD of 92 and 63. The LCD is 561.

    So, we can rewrite the fractions as:

    49/92 = 49/561
    61/63 = 61/561

    Now we can subtract:

    49/561 - 61/561 = -12/561

    Therefore, the value we get is -12/561.

Expected answer: 225191/2898

Correct? No

🔗 Problem

Problem: Calculate (58 / 26) + (58 / 26), and express your answer in simplest form.

Gemma 2B:

      (58 / 26) + (58 / 26) = (23) + (23) = 46

    In simplest form, 46 is already in its simplest form, so the answer is 46.

Expected answer: 58/13

Correct? No

🔗 Problem

Problem: If Alex has 69/63 gallons of orange juice and he bought additional 77/5 gallons, giving him a total of 'k' gallons. Later, he received another 47/71 gallons of orange juice from Sally. How many gallons did Alex have in total?

Gemma 2B:

      Let's start by adding the 77/5 gallons that Alex bought to the 69/63 gallons he already had:

    69/63 + 77/5 = 146/31

    Now, we need to find the least common multiple (LCM) of 31 and 71, which is 217. So, we need to convert both fractions to have a denominator of 217:

    146/31 = 4/3
    47/71 = 13/23

    Now, we can add the two fractions:

    4/3 + 13/23 = 17/23

    So, Alex had 17/23 gallons of orange juice in total.

Expected answer: 127907/7455

Correct? No

🔗 Problem

Problem: What is the result of ((100 / 61) + ((39 / 6) + (67 / 49)))? Answer as a simplified fraction.

Gemma 2B:

      To find the result of the given expression, we need to follow the order of operations (PEMDAS):

    1. Divide 100 by 61: 100/61 = 1.63
    2. Divide 39 by 6: 39/6 = 6.5
    3. Divide 67 by 49: 67/49 = 1.35
    4. Add the results of steps 2 and 3: 6.5 + 1.35 = 7.85
    5. Add the result of step 1 to the result of step 4: 1.63 + 7.85 = 9.48

    Therefore, the result of the given expression is 9.48.

Expected answer: 56831/5978

Correct? No

🔗 Problem

Problem: What is the sum of 85/1 and 83/69? Simplify your answer as much as possible.

Gemma 2B:

      To find the sum of 85/1 and 83/69, we need to add the numerators and denominators separately.

    Numerators: 85 + 83 = 168

    Denominators: 1 + 69 = 70

    Therefore, the sum of 85/1 and 83/69 is 168/70.

    To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 168 and 70, which is 2.

    168/70 = 84/35

    Therefore, the simplified sum of 85/1 and 83/69 is 84/35.

    ### Answer: 84/35

Expected answer: 5948/69

Correct? No

🔗 Problem

Problem: What is the sum of 92/13 and 43/86 as a simplified fraction?

Gemma 2B:

      Reasoning:

    92/13 = 7
    43/86 = 7/17

    The sum of 92/13 and 43/86 as a simplified fraction is 7 + 7/17 = 14/17.

    ### Answer: 14/17

Expected answer: 197/26

Correct? No

🔗 Problem

Problem: What is the sum of 67/32 and 10/98, expressed as a simplified fraction?

Gemma 2B:

      To find the sum of 67/32 and 10/98, we need to add the numerators (67 and 10) and the denominators (32 and 98).

    67 + 10 = 77
    32 + 98 = 130

    The sum of 67/32 and 10/98 is 77/130. This fraction is already simplified, so there is no need to simplify it further.

    Therefore, the sum of 67/32 and 10/98 is 77/130.

Expected answer: 3443/1568

Correct? No

🔗 Problem

Problem: What is the sum of 59/52 and 70/32? Please provide your answer as a simplified fraction.

Gemma 2B:

      The sum of 59/52 and 70/32 is 139/32.

    To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of the numbers, which is 32.

    So, the simplified fraction is 139/32 = 4.

    Therefore, the sum of 59/52 and 70/32 is 4.

Expected answer: 691/208

Correct? No

🔗 Problem

Problem: Let's first perform this operation: 48 divided by 5 subtracted from 11 divided by 65. Then, add the result to 28 divided by 2. What is the answer?

Gemma 2B:

      To perform the operation, we need to follow the order of operations (PEMDAS):

    1. Divide 48 by 5: 48 ÷ 5 = 9
    2. Subtract the result from 11 divided by 65: 11 ÷ 65 = 0.173 (approximately)
    3. Subtract the result from 9: 9 - 0.173 = 8.827 (approximately)
    4. Add the result to 28 divided by 2: 8.827 + 28 ÷ 2 = 14.414 (approximately)

    Therefore, the answer is 14.414.

Expected answer: 1523/65

Correct? No

🔗 Problem

Problem: What is the result when you add 20/52 to 75/82? Simplify your answer to the smallest possible fraction.

Gemma 2B:

      To add 20/52 and 75/82, we need to find the least common multiple (LCM) of the denominators, which is 52 x 82 = 4244.

    Then, we can convert both fractions to have a denominator of 4244:

    20/52 = 20 x 4244 / 52 = 84880 / 2648
    75/82 = 75 x 4244 / 82 = 30835 / 2648

    Now, we can add the fractions:

    84880 / 2648 + 30835 / 2648 = 115715 / 2648

    Therefore, the result when you add 20/52 to 75/82 is 115715/2648.

Expected answer: 1385/1066

Correct? No

🔗 Problem

Problem: What is the result of subtracting 92/84 from 31/5? Answer as a simplified fraction.

Gemma 2B:

      To subtract 92/84 from 31/5, we need to find a common denominator for both fractions. The least common multiple of 84 and 5 is 210.

    So, we can rewrite the fractions as:

    31/5 = 31/210
    92/84 = 92/210

    Now, we can subtract the fractions:

    31/210 - 92/210 = -61/210

    The result of subtracting 92/84 from 31/5 is -61/210, simplified.

Expected answer: 536/105

Correct? No

🔗 Problem

Problem: Calculate the following: Double the sum of 81/90 and 94/49.

Gemma 2B:

      To calculate the double the sum of 81/90 and 94/49, we need to follow these steps:

    1. Calculate the sum of 81/90 and 94/49:
    81/90 + 94/49 = 175/189
    2. Double the sum:
    2(175/189) = 350/189

    Therefore, the double the sum of 81/90 and 94/49 is 350/189.

Expected answer: 1381/245

Correct? No

🔗 Problem

Problem: Find the difference between 69/21 and 10/92. Write your answer as a simple fraction.

Gemma 2B:

      To find the difference between 69/21 and 10/92, we need to subtract the two fractions.

    69/21 - 10/92 = (69 x 92) / (21 x 92) - (10 x 21) / (92 x 21)
    = (6068) / (1892) - (210) / (1892)
    = 32 / 92

    So, the difference between 69/21 and 10/92 is 32/92.

Expected answer: 1023/322

Correct? No

🔗 Problem

Problem: First, find the result of (26 / 87) + (92 / 88). Then add the result to (26 / 57). What's the answer?

Gemma 2B:

      To find the result of (26 / 87) + (92 / 88), we need to perform the following steps:

    1. Calculate (26 / 87) = 0.301
    2. Calculate (92 / 88) = 1.04
    3. Add the results: 0.301 + 1.04 = 1.34

    Now, to add the result to (26 / 57), we need to perform the following steps:

    1. Calculate (26 / 57) = 0.456
    2. Add the result to 1.34: 1.34 + 0.456 = 1.796

    Therefore, the final answer is 1.796.

Expected answer: 21825/12122

Correct? No

🔗 Problem

Problem: What is the result if you add 78/66, 28/6, and 90/34 together? Please provide your answer as a simplified fraction.

Gemma 2B:

      To add these fractions together, we need to find the least common denominator (LCD) of the denominators, which is 264.

    So, we can rewrite the fractions as:

    78/66 = 13/11
    28/6 = 7/3
    90/34 = 15/7

    Now, we can add these fractions together:

    13/11 + 7/3 + 15/7 = 35/11

    Therefore, the result of adding 78/66, 28/6, and 90/34 together is 35/11.

Expected answer: 4766/561

Correct? No

🔗 Problem

Problem: Calculate: (12 / 7) - (9 / 23). Please simplify your answer to the lowest terms.

Gemma 2B:

      To calculate the expression, we need to follow the order of operations (PEMDAS):

    1. Divide 12 by 7: 12 ÷ 7 = 1.71
    2. Divide 9 by 23: 9 ÷ 23 = 0.39
    3. Subtract the two results: 1.71 - 0.39 = 1.32

    Therefore, the simplified answer is 1.32.

Expected answer: 213/161

Correct? No

🔗 Problem

Problem: Calculate the sum of 95/18 and 51/61, and represent your answer as a simplified fraction.

Gemma 2B:

      To calculate the sum of 95/18 and 51/61, we need to find the least common multiple (LCM) of the denominators, which is 18 and 61. The LCM of 18 and 61 is 18 x 61 = 1098.

    So, we can convert both fractions to have a denominator of 1098:

    95/18 = 95 x 61 / 1098 = 5835 / 1098
    51/61 = 51 x 18 / 1098 = 918 / 1098

    Now, we can add the fractions:

    5835 / 1098 + 918 / 1098 = 6753 / 1098

    Therefore, the sum of 95/18 and 51/61 is 6753/1098.

    To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 3:

    6753 / 1098 = 2251 / 366

    Therefore, the simplified fraction is 2251/366.

Expected answer: 6713/1098

Correct? No

🔗 Problem

Problem: Calculate the following subtraction of fractions: (93 / 46) - (51 / 84). Answer as a simplified fraction.

Gemma 2B:

      To calculate the subtraction of fractions, we need to first find the common denominator, which is the least common multiple of 46 and 84. The least common multiple of 46 and 84 is 840.

    So, we can rewrite the fractions as:

    (93 / 46) = (93 × 840) / (46 × 840) = 782 / 3924

    (51 / 84) = (51 × 840) / (84 × 840) = 429 / 7360

    Now, we can subtract the fractions:

    782 / 3924 - 429 / 7360 = 3403 / 3924

    Therefore, the simplified fraction is 3403 / 3924.

Expected answer: 911/644

Correct? No

🔗 Problem

Problem: Calculate the sum of the fractions 12/70 and 84/9. Please provide your answer in simplified form.

Gemma 2B:

      To calculate the sum of the fractions 12/70 and 84/9, we need to find the common denominator. The least common multiple of 70 and 9 is 630.

    So, we can rewrite the fractions as:

    12/70 = 12/630
    84/9 = 84/630

    Now, we can add the fractions:

    12/630 + 84/630 = 96/630

    Therefore, the sum of the fractions 12/70 and 84/9 is 96/630.

    In simplified form, the answer is 3/5.

Expected answer: 998/105

Correct? No

🔗 Problem

Problem: If you subtract 40/92 from 32/3 and double the result, what would you get?

Gemma 2B:

      To find the result of subtracting 40/92 from 32/3, we need to find the common denominator of the fractions. The least common multiple of 92 and 3 is 564.

    So, we can rewrite the fractions as:

    32/3 = 32 × 3/3 = 96/3
    40/92 = 40 × 3/92 = 120/92

    Now, we can subtract the fractions:

    96/3 - 120/92 = 96 × 92/3 - 120 × 3/92 = 864/92 - 360/92 = 504/92

    To double the result, we multiply the fraction by 2:

    504/92 × 2 = 1008/92

    Therefore, if you subtract 40/92 from 32/3 and double the result, you would get 1008/92.

Expected answer: 1412/69

Correct? No

🔗 Problem

Problem: What is the sum of 79/24 and 79/24? Keep your answer as a simplified fraction.

Gemma 2B:

      The sum of 79/24 and 79/24 is 158/24.

    To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 6.

    So, the simplified fraction is 158/24 = 26/3.

Expected answer: 79/12

Correct? No

🔗 Problem

Problem: What is the sum of 91/76 and 12/22? Please simplify your fraction.

Gemma 2B:

      The sum of 91/76 and 12/22 is 91/76 + 12/22 = 103/76.

    To simplify this fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of the numerator and denominator, which is 3.

    So, 103/76 can be simplified to 34/22.

Expected answer: 1457/836

Correct? No

🔗 Problem

Problem: First, add 88/93 to 6/47. Then, add the result to 92/4. What do you get?

Gemma 2B:

      First, let's add 88/93 to 6/47:

    88/93 + 6/47 = 154/400 + 24/400 = 178/400

    Next, let's add the result to 92/4:

    178/400 + 92/4 = 270/400

    Therefore, the final result is 270/400.

Expected answer: 105227/4371

Correct? No

🔗 Problem

Problem: Calculate the sum of 95/83 and the result of 52/21 + 75/67. Write your answer as a simplified fraction.

Gemma 2B:

      To calculate the sum of 95/83 and the result of 52/21 + 75/67, we need to follow the steps below:

    1. Calculate the sum of 95/83:
    95/83 = 11/7

    So, the sum of 95/83 is 11/7.

    1. Calculate the result of 52/21 + 75/67:
    52/21 = 26/7
    75/67 = 12/7

    Adding these two fractions, we get:
    26/7 + 12/7 = 38/7

    So, the result of 52/21 + 75/67 is 38/7.

    Therefore, the final answer is:
    11/7 + 38/7 = 49/7.

Expected answer: 553562/116781

Correct? No

🔗 Problem

Problem: What is the value of the expression ((73 / 27) - (23 / 48))? Answer as a simplified fraction.

Gemma 2B:

      The expression ((73 / 27) - (23 / 48)) can be simplified as follows:

    ((73 / 27) - (23 / 48)) = (73 / 27) - (23 / 48)
    = (73 / 27) - (23 / 48)
    = (73 - 23) / 27
    = 50 / 27

    Therefore, the value of the expression ((73 / 27) - (23 / 48)) is 50/27, which is a simplified fraction.

Expected answer: 961/432

Correct? No

🔗 Problem

Problem: Solve the expression (78 / 2) - (70 / 23). Answer as a simplified decimal or fraction.

Gemma 2B:

      To solve this expression, we need to follow the order of operations (PEMDAS):

    1. Divide 78 by 2: 78 ÷ 2 = 39
    2. Divide 70 by 23: 70 ÷ 23 = 3
    3. Subtract 3 from 39: 39 - 3 = 36

    Therefore, the simplified decimal answer is 36.

Expected answer: 827/23

Correct? No

🔗 Problem

Problem: What is the result when you add 34/1 to 53/4? Express your answer as a mixed number.

Gemma 2B:

      To add 34/1 to 53/4, we need to first find the least common denominator (LCD) of the two fractions. The LCD is the smallest number that both numbers can divide into.

    In this case, the LCD of 34/1 and 53/4 is 210.

    So, we can rewrite the fractions as:

    34/1 = 210/210
    53/4 = 210/44

    Now we can add the fractions:

    210/210 + 210/44 = 420/44

    The result is a mixed number: 420/44 = 10 3/4.

Expected answer: 189/4

Correct? No

🔗 Problem

Problem: What is the sum of 3/36 and 97/96? Answer as a simplified fraction.

Gemma 2B:

      Reasoning:

    3/36 = 1/12
    97/96 = 97/96

    Adding the two fractions:
    1/12 + 97/96 = 98/112

    Simplifying the fraction:
    98/112 = 49/56

    Therefore, the sum of 3/36 and 97/96 is 49/56.
    ### Answer: 49/56

Expected answer: 35/32

Correct? No

🔗 Problem

Problem: Calculate ((92 / 95) + (4 / 74)). Answer as a simplified fraction.

Gemma 2B:

      Reasoning:

    ((92 / 95) + (4 / 74)) = ((92 × 74) / (95 × 74)) + ((4 × 95) / (74 × 95))
    = (6768 / 7015) + (330 / 6935)
    = 6768 + 330
    = 7098 / 6935

    Therefore, the simplified fraction is 7098/6935.

    ### Answer: 7098/6935

Expected answer: 3594/3515

Correct? No

🔗 Problem

Problem: If the value of a variable 'v' is 69/47, what is the value of 'd' if 'd' equals 88/72 + 'v'? Please write your answer as a fraction.

Gemma 2B:

      If the value of 'v' is 69/47, then we can write:

    v = 69/47

    We are given that 'd' equals 88/72 + 'v', so we can write:

    d = 88/72 + v

    Substituting the value of 'v' from above, we get:

    d = 88/72 + 69/47

    Simplifying, we get:

    d = 157/288

    Therefore, the value of 'd' is 157/288.

Expected answer: 1138/423

Correct? No

🔗 Problem

Problem: Let's say there is a wholesaler who has 41/26 barrels of olive oil in their warehouse. They sell a portion of the oil which is equivalent to 41/72 barrels. How much olive oil do they have now? Express your answer as a simple fraction.

Gemma 2B:

      The wholesaler had 41/26 barrels of olive oil in their warehouse.
    They sold a portion of the oil which is equivalent to 41/72 barrels.
    To find out how much olive oil they have now, we need to subtract the amount they sold from the total amount they had.
    41/26 - 41/72 = 25/26 barrels
    So, the wholesaler has 25/26 barrels of olive oil left in their warehouse.

Expected answer: 943/936

Correct? No

🔗 Problem

Problem: What is the sum of 85/75 and 88/56? Write your answer in decimal form.

Gemma 2B:

      To find the sum of 85/75 and 88/56, we need to first find the decimal equivalent of each fraction.

    85/75 = 1.1333...
    88/56 = 1.5667...

    Now, we can add the decimal equivalents:

    1.1333... + 1.5667... = 2.6999...

    Therefore, the sum of 85/75 and 88/56 is 2.6999... in decimal form.

Expected answer: 284/105

Correct? No

🔗 Problem

Problem: What is the result of adding 12 over 33 to 49 over 2? Write your answer as a mixed fraction.

Gemma 2B:

      To add 12 over 33 to 49 over 2, we need to find the common denominator. The least common multiple of 33 and 2 is 66.

    So, we can rewrite the fractions as:

    12/33 = 4/11
    49/2 = 24/1

    Now, we can add the fractions:

    4/11 + 24/1 = 28/11

    Therefore, the result of adding 12 over 33 to 49 over 2 is 28/11.

Expected answer: 547/22

Correct? No

🔗 Problem

Problem: What is the result of adding two fractions, where each fraction is 78/65?

Gemma 2B:

      To add two fractions, we need to find the common denominator, which is the least common multiple (LCM) of the denominators. In this case, the denominators are 65 and 65, so the LCM is also 65.

    So, we can rewrite the fractions as:

    78/65 = 13/13

    Now, we can add the fractions by adding the numerators and keeping the denominator the same:

    13/13 + 13/13 = 26/13

    Therefore, the result of adding two fractions, where each fraction is 78/65, is 26/13.

Expected answer: 12/5

Correct? No

🔗 Problem

Problem: Calculate the sum of 16/7 and 11/90. Answer as a simplified fraction.

Gemma 2B:

      To calculate the sum of 16/7 and 11/90, we need to find the least common multiple (LCM) of 7 and 90. The LCM of 7 and 90 is 630.

    So, we can convert 16/7 and 11/90 to equivalent fractions with a denominator of 630:

    16/7 = 24/63
    11/90 = 11/63

    Now, we can add the fractions:

    24/63 + 11/63 = 35/63

    Therefore, the sum of 16/7 and 11/90 is 35/63.

Expected answer: 1517/630

Correct? No