🔗 Problem

Problem: In their game, Kyle threw a ball for a distance of 18/4 yards, while Lisa threw the same ball for a distance of 19/9 yards. How many yards did the ball travel in total?

Gemma 2B:

      To find the total distance traveled by the ball, we need to find the ratio of the distances traveled by Kyle and Lisa.

    Let's say the ratio of the distances traveled by Kyle and Lisa is x. Then, we can write:

    18/4 = x \* 19/9

    Simplifying the equation, we get:

    18 = x \* 19

    Now, we can divide both sides by 19 to solve for x:

    x = 18/19

    So, the ratio of the distances traveled by Kyle and Lisa is 18/19.

    Now, we can find the total distance traveled by the ball by multiplying the ratio by the total distance:

    Total distance = Ratio \* Total distance
    Total distance = 18/19 \* (18/4 + 19/9)
    Total distance = 18/19 \* 21/4
    Total distance = 18/19 \* 5
    Total distance = 9

    Therefore, the ball traveled a total distance of 9 yards.

Expected answer: 119/18

Correct? No

🔗 Problem

Problem: Johnnie the monkey was given 18/7 bananas by the zookeeper in the morning, and 12/14 bananas in the afternoon. In total, how many bananas were given to Johnnie the monkey?

Gemma 2B:

      Reasoning:

    In the morning, Johnnie was given 18/7 = <<18/7=2.57>>2.57 bananas.
    In the afternoon, Johnnie was given 12/14 = <<12/14=0.88>>0.88 bananas.

    In total, Johnnie was given 2.57 + 0.88 = <<2.57+0.88=3.45>>3.45 bananas.

Expected answer: 24/7

Correct? No

🔗 Problem

Problem: The bottom of a door measures 4/19 inches from the floor, and the top of the door measures 9/10 inches from the ceiling. What is the total distance of the bottom and top of the door from the floor and ceiling, respectively?

Gemma 2B:

      The total distance of the bottom of the door from the floor is 4/19 inches.
    The total distance of the top of the door from the ceiling is 9/10 inches.

    Therefore, the total distance of the bottom and top of the door from the floor and ceiling, respectively, is 4/19 inches + 9/10 inches = 13/19 inches.

Expected answer: 211/190

Correct? No

🔗 Problem

Problem: Ralph's juice recipe requires 17/3 liters of apple juice. However, he only uses 15/11 liters of it. How many liters of apple juice are left unused?

Gemma 2B:

      To find the number of liters of apple juice left unused, we need to subtract the amount used from the total amount required.

    17/3 liters - 15/11 liters = 2/3 liters

    Therefore, 2/3 liters of apple juice are left unused.

Expected answer: 142/33

Correct? No

🔗 Problem

Problem: Billy is trying to roller skate in an empty parking lot. He initially travels 4 miles, but rolls back for 17/20 of a mile after spotting a pothole. How many miles did he ultimately travel forward?

Gemma 2B:

      Let's break this down step by step:

    1. Billy initially travels 4 miles.
    2. After spotting a pothole, he rolls back for 17/20 of a mile.
    3. This means he has traveled a total of 4 - (17/20) = 4 - (0.88) = 3.12 miles.

    So, Billy has traveled 3.12 miles forward.

Expected answer: 63/20

Correct? No

🔗 Problem

Problem: A rocket was launched into orbit. On the first day, it traveled 15/3 light years. On the second day, it traveled an additional 2/7 light years. How far has the rocket traveled in total?

Gemma 2B:

      The rocket traveled a total distance of:

    15/3 light years + 2/7 light years = 15/3 + 2/7 = 15/3 + 4/7 = 19/7

    So, the rocket has traveled 19/7 light years in total.

Expected answer: 37/7

Correct? No

🔗 Problem

Problem: Captain Silverbeard found 10/13 of a treasure map at one shipwreck site and 16/19 of the same treasure map at another site. What is the total portion of the treasure map that he found?

Gemma 2B:

      To find the total portion of the treasure map that Captain Silverbeard found, we need to add the portion he found at each site.

    At the first site, he found 10/13 of the treasure map, which is equal to 10/13 of the total treasure map.
    At the second site, he found 16/19 of the treasure map, which is equal to 16/19 of the total treasure map.

    So, the total portion of the treasure map that Captain Silverbeard found is:
    10/13 + 16/19 = 26/32

    Therefore, the total portion of the treasure map that Captain Silverbeard found is 26/32.

Expected answer: 398/247

Correct? No

🔗 Problem

Problem: A hiker decides to walk 9/6 miles North before walking 2/16 miles East. How many miles has the hiker traveled in total?

Gemma 2B:

      The hiker has traveled a total of 9/6 + 2/16 = 9/6 + 2/16 = 11/12 miles.

Expected answer: 13/8

Correct? No

🔗 Problem

Problem: In Jessica's sandbox, she has a pile of sand that is 16/9 cubic feet. She then removes 4/13 cubic feet of sand from the sandbox. How much sand does she have left in her sandbox?

Gemma 2B:

      Reasoning:

    Jessica has a pile of sand that is 16/9 cubic feet.
    She removes 4/13 cubic feet of sand from the sandbox.

    16/9 - 4/13 = <<16/9-4/13=12/9>>12/9 cubic feet of sand left in the sandbox.

    ### Answer: 12/9 cubic feet

Expected answer: 172/117

Correct? No

🔗 Problem

Problem: Jacob has a piece of rope that is 15/12 meters long and he adds a piece that is 17/17 meters long to it. What is the total length of the rope now?

Gemma 2B:

      To find the total length of the rope, we need to add the lengths of the two pieces of rope.

    The first piece of rope is 15/12 meters long, which is equal to 15/12 \* 1 meter = 1.25 meters.

    The second piece of rope is 17/17 meters long, which is equal to 17/17 \* 1 meter = 1.00 meters.

    So, the total length of the rope is 1.25 + 1.00 = 2.25 meters.

Expected answer: 9/4

Correct? Yes

🔗 Problem

Problem: Mark has 1 full pair of pants and another 13/4 pairs from various incomplete sets. How many pairs of pants does he have in total?

Gemma 2B:

      Mark has 1 full pair of pants and 13/4 pairs from various incomplete sets.

    To find the total number of pairs of pants, we need to add the number of full pairs to the number of incomplete pairs.

    1 full pair = 1 pair
    13/4 pairs = 13/4 pairs

    Therefore, the total number of pairs of pants is:
    1 + 13/4 = 14/4 = 3

    So, Mark has 3 pairs of pants in total.

Expected answer: 17/4

Correct? No

🔗 Problem

Problem: Miss Jenny stayed after school to grade papers. She spent 8/8 hours on one subject and an additional 20/19 hours on another subject. How long did she spend grading papers in total?

Gemma 2B:

      Miss Jenny spent 8/8 hours on one subject and 20/19 hours on another subject.

    To find the total time she spent grading papers, we need to add the time she spent on each subject:

    8/8 hours + 20/19 hours = 10/19 hours

    Therefore, Miss Jenny spent 10/19 hours grading papers in total.

Expected answer: 39/19

Correct? No

🔗 Problem

Problem: A cloud was observed at a height of 12/3 kms, it later ascended by 15/12 kms. What was the resultant height of the cloud from the ground?

Gemma 2B:

      The resultant height of the cloud from the ground can be calculated by adding the initial height of the cloud (12/3 kms) to the amount by which the cloud ascended (15/12 kms).

    12/3 kms + 15/12 kms = 12/3 kms + 15/12 kms = 15/6 kms

    Therefore, the resultant height of the cloud from the ground is 15/6 kms.

Expected answer: 21/4

Correct? No

🔗 Problem

Problem: Jack rides his scooter 3/9 of a mile to the library. After leaving, he scoots another 17/15 of a mile to his grandparents' house. How many miles does Jack ride his scooter in total?

Gemma 2B:

      Jack rides his scooter 3/9 of a mile to the library, which is equal to 3/9 of 1 mile.

    3/9 of 1 mile = 0.33 miles

    After leaving the library, Jack scoots another 17/15 of a mile to his grandparents' house.

    17/15 of 1 mile = 1.11 miles

    Therefore, Jack rides his scooter in total 0.33 + 1.11 = 1.44 miles.

Expected answer: 22/15

Correct? No

🔗 Problem

Problem: There are 4 logs in a pile that each burn for 1/16 of an hour. The fire burns out and Tom brings 16 twigs, each of which burns for 1/12 of an hour. What is the total burn time for the logs and twigs?

Gemma 2B:

      The total burn time for the logs is 4/16 = <<4/16=1/4>>1/4 of an hour.
    The total burn time for the twigs is 16/12 = <<16/12=1.25>>1.25 hours.
    The total burn time for the logs and twigs is 1/4 + 1.25 = <<1/4+1.25=1.75>>1.75 hours.
    ### Answer: 1.75 hours

Expected answer: 19/12

Correct? No

🔗 Problem

Problem: If a ring maker uses 12/16 ounces of a silver for the base of the ring and 16/2 ounces to make the rest of the ring, how many ounces of silver did the ring maker use in total?

Gemma 2B:

      The ring maker used 12/16 ounces of silver for the base of the ring, which is equal to 12/16 = 1/4 of a pound of silver.
    The ring maker used 16/2 ounces of silver to make the rest of the ring, which is equal to 16/2 = 8 ounces of silver.
    In total, the ring maker used 1/4 + 8 = 9/4 of a pound of silver.
    ### Answer: 9/4

Expected answer: 35/4

Correct? No

🔗 Problem

Problem: A farmer has an apple tree that produced 10/11 bushels of apples in the morning and 17/11 bushels in the afternoon. How many bushels of apples did the tree produce in total?

Gemma 2B:

      The farmer's apple tree produced 10/11 + 17/11 = 27/11 bushels of apples in total.

Expected answer: 27/11

Correct? Yes

🔗 Problem

Problem: If Sam's binoculars increase his range of sight by 3/14 of a mile and Joe's binoculars increase his range of sight by exactly 1 mile (16/16), what is their combined range increase when they use the binoculars one after the other?

Gemma 2B:

      Let's call the combined range increase when Sam and Joe use their binoculars one after the other "x".

    We know that Sam's binoculars increase his range of sight by 3/14 of a mile, so his range increase is 3/14 of a mile.

    We also know that Joe's binoculars increase his range of sight by exactly 1 mile, so his range increase is 1 mile.

    When Sam and Joe use their binoculars one after the other, the combined range increase is the sum of their individual range increases, which is:

    3/14 of a mile + 1 mile = 17/14 of a mile

    So, the combined range increase when Sam and Joe use their binoculars one after the other is 17/14 of a mile.

Expected answer: 17/14

Correct? No

🔗 Problem

Problem: Maria uses 15/10 yards of fabric for a section of a blanket and 9/18 more yards for another section. What is the total length of fabric Maria uses for these two sections?

Gemma 2B:

      To find the total length of fabric Maria uses for the two sections, we need to add the length of the first section to the length of the second section.

    The length of the first section is 15/10 yards = 1.5 yards.
    The length of the second section is 9/18 yards = 0.525 yards.

    Therefore, the total length of fabric Maria uses for the two sections is:

    1.5 yards + 0.525 yards = 2 yards

    So, Maria uses a total of 2 yards of fabric for the two sections.

Expected answer: 2

Correct? Yes

🔗 Problem

Problem: A turtle walks 10/5 miles forward, then walks backward 5/16 mile. How many miles has the turtle actually covered from its starting point?

Gemma 2B:

      The turtle walks 10/5 miles forward, which is equal to 2 miles.
    Then, it walks backward 5/16 mile, which is equal to 0.3125 miles.
    Therefore, the turtle has actually covered a total of 2 - 0.3125 = 1.6875 miles from its starting point.

Expected answer: 27/16

Correct? Yes

🔗 Problem

Problem: A painter uses 18/11 liters of blue paint and 1/8 liters of white paint to mix a shade of sky blue. How much paint in liters did he use in total?

Gemma 2B:

      The painter used a total of 18/11 + 1/8 = <<18/11+1/8=19/11>>19/11 liters of paint in total.

Expected answer: 155/88

Correct? No

🔗 Problem

Problem: A computer program executed 8 tasks in 4 minutes and then executed another 20 tasks in 14 minutes. What is the total number of tasks it executed per minute?

Gemma 2B:

      Let's first calculate the total number of tasks executed in 4 minutes:

    8 tasks x 4 minutes = 32 tasks

    Then, we can calculate the total number of tasks executed in 14 minutes:

    20 tasks x 14 minutes = 280 tasks

    The total number of tasks executed per minute is:

    (32 + 280) / 4 minutes = 288 tasks per minute

    Therefore, the total number of tasks executed per minute is 288.

Expected answer: 24/7

Correct? No

🔗 Problem

Problem: At the end of a rainbow, there are pots filled with magical gold coins. One pot contains 12/13 of a pound of gold coins while another contains 3/2 pounds of gold coins. How much gold is there in total?

Gemma 2B:

      Let's start by adding the number of gold coins in the first pot to the number of gold coins in the second pot.

    12/13 of a pound = 12/13 pounds
    3/2 pounds = 3/2 pounds

    Adding these two quantities gives us:

    12/13 pounds + 3/2 pounds = 15/13 pounds

    Now, let's convert the total weight of gold coins to a common unit, such as ounces.

    15/13 pounds = 15/13 x 16 ounces = 24 ounces

    So, there are 24 ounces of gold in total.

Expected answer: 63/26

Correct? No

🔗 Problem

Problem: In space, an alien named Zorg receives a video message from earth that is divided into parts. The first part of the message is 4/4 hours long, and the second part is 11/1 hour long. How long in total is the message Zorg received?

Gemma 2B:

      The first part of the message is 4/4 hours long, which means it is 4 hours long.
    The second part of the message is 11/1 hour long, which means it is 11 hours long.
    Therefore, the total length of the message Zorg received is 4 hours + 11 hours = 15 hours.

Expected answer: 12

Correct? No

🔗 Problem

Problem: In a park, 10 ducks are equally distributed among 5 ponds, implying each pond has 10 / 5 ducks. In the same park, 8 fish are distributed among 10 small pools, with each pool having 8 / 10 fish. How many animals are there in each pond and pool combined?

Gemma 2B:

      In the first scenario, there are 10 ducks in each of the 5 ponds, so there are a total of 5 x 10 = 50 ducks in the park.

    In the second scenario, there are 8 fish in each of the 10 small pools, so there are a total of 10 x 8 = 80 fish in the park.

    Therefore, the total number of animals in the park is 50 + 80 = 130 animals.

Expected answer: 14/5

Correct? No

🔗 Problem

Problem: On a map, 15/11 inches represents the distance between Town A and Town B, and 16/15 inches represents the distance between Town B and Town C. What is the total distance between Town A and Town C on the map?

Gemma 2B:

      To find the total distance between Town A and Town C, we need to add the distances between Town A and Town B and the distance between Town B and Town C.

    The distance between Town A and Town B is 15/11 inches, and the distance between Town B and Town C is 16/15 inches.

    So, the total distance between Town A and Town C is:

    15/11 inches + 16/15 inches = 15/11 + 16/15 = 31/26 inches

    Therefore, the total distance between Town A and Town C on the map is 31/26 inches.

Expected answer: 401/165

Correct? No

🔗 Problem

Problem: A soap company produces 13/18 tons of Soap A and 4/6 tons of Soap B in a day. How many tons of soap do they produce in total each day?

Gemma 2B:

      To find the total amount of soap produced each day, we need to add the amount of Soap A and Soap B produced.

    Soap A: 13/18 tons = 0.72 tons
    Soap B: 4/6 tons = 0.67 tons

    Total amount of soap produced each day: 0.72 tons + 0.67 tons = 1.40 tons

    Therefore, the soap company produces 1.40 tons of soap each day.

Expected answer: 25/18

Correct? No

🔗 Problem

Problem: Mark bought a sleeping bag that was 19/2 feet long. However, he decides to cut off 13/12 feet from it to fit his height. How long is his sleeping bag now?

Gemma 2B:

      Mark's sleeping bag is now 19/2 - 13/12 = <<19/2-13/12=5/2>>5/2 feet long.

Expected answer: 101/12

Correct? No

🔗 Problem

Problem: At the zoo, Mary feeds 6/20 pounds of food to the monkeys, and 18/15 pounds of food to the giraffes. How many pounds of food in total has she given to the monkeys and giraffes?

Gemma 2B:

      To find the total amount of food given to the monkeys, we need to multiply the number of pounds of food given by the number of monkeys:

    6/20 pounds x 20 monkeys = 6 x 20 = 120 pounds

    To find the total amount of food given to the giraffes, we need to multiply the number of pounds of food given by the number of giraffes:

    18/15 pounds x 15 giraffes = 18 x 15 = 270 pounds

    Therefore, the total amount of food given to the monkeys is 120 pounds, and the total amount of food given to the giraffes is 270 pounds.

Expected answer: 3/2

Correct? No

🔗 Problem

Problem: Albert has a deck of 20/17 full sets of cards to start. He then collects another full set of 4/1 cards. How many full sets of cards does he have now?

Gemma 2B:

      Albert has a total of 20/17 + 4/1 = 24/17 full sets of cards.

Expected answer: 88/17

Correct? No

🔗 Problem

Problem: A jeweler has 5/14 pound of silver and adds 18/19 pounds more to the supply. How many pounds of silver does the jeweler have now to make rings?

Gemma 2B:

      The jeweler has 5/14 pounds of silver to start with.

    To add 18/19 pounds more to the supply, we can multiply the number of pounds by the fraction:

    18/19 pounds = 18/19 \* 14/14 = 18/19 \* 1 = 18/19

    So the jeweler now has 5/14 + 18/19 = 23/19 pounds of silver.

    To make rings, the jeweler needs to cut the silver into thin strips, which we'll call "rings." Each ring is 1/19 of a pound, so the jeweler can make:

    23/19 pounds / 1/19 pound per ring = 23/19 rings

    Therefore, the jeweler can make 23/19 rings.

Expected answer: 347/266

Correct? No

🔗 Problem

Problem: A turtle starts at a point and moves 11 meters northward. Then, it moves 15/15 of a meter back towards the starting point. How many meters is the turtle from its starting point after these two movement?

Gemma 2B:

      The turtle starts at a point 11 meters north of the starting point.

    After moving 15/15 of a meter back towards the starting point, the turtle is now 15/15 of a meter away from the starting point.

    Therefore, the turtle is now 11 + 15/15 = 11 + 1 = 12 meters away from its starting point.

Expected answer: 10

Correct? No

🔗 Problem

Problem: Chloe has a chocolate bar that is 19/2 ounces. If she eats a piece that is 17/2 ounces, how many ounces of chocolate does she have left?

Gemma 2B:

      Reasoning: Chloe has a chocolate bar that is 19/2 ounces. If she eats a piece that is 17/2 ounces, she will have 19/2 - 17/2 = <<19/2-17/2=2/2>>2 ounces of chocolate left.
    ### Answer: 2/2

Expected answer: 1

Correct? Yes

🔗 Problem

Problem: Sammy has a backpack with a capacity of 20/9 liters. If he adds another pouch to the backpack that can hold 8/4 more liters, what will be the total capacity of his backpack?

Gemma 2B:

      The total capacity of Sammy's backpack will be 20/9 + 8/4 = 20/9 + 8/4 = 20/9 + 2 = 28/9 liters.

Expected answer: 38/9

Correct? No

🔗 Problem

Problem: Captain Hook has 11/8 ounces of gold. He finds an additional 5/5 ounces of gold on his latest treasure hunt. What is the total weight of the gold Captain Hook now has?

Gemma 2B:

      Captain Hook has 11/8 ounces of gold.
    He finds an additional 5/5 ounces of gold on his latest treasure hunt.

    To find the total weight of the gold Captain Hook now has, we need to add the weight of the new gold to the weight of the old gold.

    11/8 ounces + 5/5 ounces = 16/8 ounces

    Therefore, the total weight of the gold Captain Hook now has is 16/8 ounces.

Expected answer: 19/8

Correct? No

🔗 Problem

Problem: If Jake originally had 9/10 of a dollar and then received an additional 20/15 of a dollar, how much money does he have in his wallet now?

Gemma 2B:

      Jake originally had 9/10 of a dollar, which is equal to 9/10 = 0.90 dollars.

    Then, he received an additional 20/15 of a dollar, which is equal to 20/15 = 1.33 dollars.

    Therefore, Jake now has a total of 0.90 + 1.33 = 2.23 dollars in his wallet.

Expected answer: 67/30

Correct? No

🔗 Problem

Problem: Paul has built the front half of a chair that measures 5/2 feet high. He also constructs the back portion of the chair that measures 20/14 feet. What is the combined height of the front and back portions of the chair that Paul has constructed?

Gemma 2B:

      The combined height of the front and back portions of the chair that Paul has constructed is 5/2 + 20/14 = 5/2 + 20/14 = 25/14 feet.

Expected answer: 55/14

Correct? No

🔗 Problem

Problem: John has 5 shirts and he donated 12/9 of them to charity. How many shirts does he have left?

Gemma 2B:

      John has 5 shirts and he donated 12/9 of them to charity.

    12/9 = 1.33

    So, John donated 1.33 shirts to charity.

    5 - 1.33 = 3.67

    So, John has 3.67 shirts left.

Expected answer: 11/3

Correct? No

🔗 Problem

Problem: Bob has a jacket that measures 14/3 meters in length. However, he finds the jacket is slightly too long for him so he decides to cut off 14/16 meter from the original length. What is the length of Bob's jacket after the alteration?

Gemma 2B:

      The original length of Bob's jacket is 14/3 meters.

    If he cuts off 14/16 meters from the original length, the new length will be:

    14/3 - 14/16 = 14/3 - 9/16 = 5/16

    So, the length of Bob's jacket after the alteration is 5/16 meters.

Expected answer: 91/24

Correct? No

🔗 Problem

Problem: Officer Max spends 2/6 part of an hour completing paperwork. Then, he spends 14/7 parts of an hour patrolling the neighborhood. How much time, in parts of an hour, does Officer Max use for these two tasks?

Gemma 2B:

      To find the ratio of time spent on paperwork and patrolling, we need to find the ratio of the number of parts of an hour spent on each task.

    Officer Max spends 2/6 part of an hour completing paperwork, so he spends 2/6 of 1 hour = 1/3 of an hour on paperwork.

    Officer Max spends 14/7 parts of an hour patrolling the neighborhood, so he spends 14/7 of 1 hour = 2/3 of an hour on patrolling.

    Therefore, the ratio of time spent on paperwork and patrolling is 1/3:2/3, or 1:2.

Expected answer: 7/3

Correct? No

🔗 Problem

Problem: John watched a movie for 10/12 of an hour and then watched a TV show for another 3/8 of an hour. What is the total time he spent watching in hours?

Gemma 2B:

      Let's first convert the fractions to decimals:

    10/12 = 0.83 (decimal form)
    3/8 = 0.375 (decimal form)

    Now, let's add the two decimals:

    0.83 + 0.375 = 1.205

    Therefore, the total time John spent watching in hours is 1.205.

Expected answer: 29/24

Correct? No

🔗 Problem

Problem: Mr. Carpenter makes crafting chairs a meticulous process. He takes 5/3 hours to build the frame and additional 10/13 hours to upholster it. How long does it take for him to build a chair from start to finish?

Gemma 2B:

      To find the total time it takes to build a chair from start to finish, we need to add the time it takes to build the frame and the time it takes to upholster it.

    The time it takes to build the frame is 5/3 hours, so that's 5/3 hours.

    The time it takes to upholster the chair is 10/13 hours, so that's 10/13 hours.

    To add these two times together, we can use the formula:

    Total time = time to build the frame + time to upholster the chair

    Plugging in the values we know, we get:

    Total time = 5/3 hours + 10/13 hours

    Simplifying, we get:

    Total time = 11/13 hours

    So it takes Mr. Carpenter 11/13 hours to build a chair from start to finish.

Expected answer: 95/39

Correct? No

🔗 Problem

Problem: Anna has a bracelet that consists of small and large beads. The small beads are each 8/4 mm in diameter and the large beads are each 15/2 mm in diameter. If she adds a small and a large bead to her bracelet, what would be the total added diameter in mm?

Gemma 2B:

      The total added diameter would be the diameter of the small bead (8/4 mm) + the diameter of the large bead (15/2 mm) = 8/4 mm + 15/2 mm = 13/2 mm.

Expected answer: 19/2

Correct? No

🔗 Problem

Problem: A rocket travels 11/18 light-years to an alien planet, then travels another 8/2 light-years towards a distant star. What is the total distance covered by the rocket?

Gemma 2B:

      The total distance covered by the rocket is:

    11/18 light-years + 8/2 light-years = 11/18 + 8/2 = 19/18 light-years

    So the total distance covered by the rocket is 19/18 light-years.

Expected answer: 83/18

Correct? No

🔗 Problem

Problem: Johnathan needs 12/14 yards of one fabric to make a sleeping bag, and another 8/5 yards of a different fabric to create the liner. How many yards of fabric does he need in total to create his sleeping bag?

Gemma 2B:

      To find the total number of yards of fabric needed, we need to add the number of yards of each fabric needed for the sleeping bag and the liner.

    12/14 yards of one fabric = 12/14 = 0.875 yards
    8/5 yards of a different fabric = 8/5 = 1.6 yards

    Total number of yards of fabric needed = 0.875 + 1.6 = 2.475 yards

    Therefore, Johnathan needs 2.475 yards of fabric to create his sleeping bag.

Expected answer: 86/35

Correct? No

🔗 Problem

Problem: In a forest, there are 5/4 acres of pine trees and 1/2 acre of oak trees. What is the total acreage of pine and oak trees in the forest?

Gemma 2B:

      The total acreage of pine trees in the forest is 5/4 = 1.25 acres.
    The total acreage of oak trees in the forest is 1/2 = 0.5 acres.
    The total acreage of both pine and oak trees in the forest is 1.25 + 0.5 = 1.75 acres.
    ### Answer: 1.75 acres

Expected answer: 7/4

Correct? No

🔗 Problem

Problem: Jake has 12/7 of a yard of fabric. He finds another piece that measures 2/14 of a yard. If he combines both pieces, how much fabric does he have to make his shirt?

Gemma 2B:

      Jake has 12/7 of a yard of fabric, which is equal to 12/7 = 1.71 yards.
    He also has 2/14 of a yard of fabric, which is equal to 2/14 = 0.15 yards.
    If he combines both pieces, he will have 1.71 + 0.15 = 1.86 yards of fabric.

Expected answer: 13/7

Correct? No

🔗 Problem

Problem: At a park, a special tree produces on average 10/4 kilograms of fruit every summer. In the winter, it loses some of its fruit, amounting to 12/20 kg. What is the difference in kilograms of the fruit from summer to winter?

Gemma 2B:

      The difference in kilograms of fruit from summer to winter is:

    10/4 - 12/20 = -4/5

    So, the fruit from summer to winter is 4/5 kilograms less.

Expected answer: 19/10

Correct? No

🔗 Problem

Problem: A ballerina starts with a routine that lasts 13/5 minutes but decides to shorten it by 15/16 minutes. How long is her routine after shortening it?

Gemma 2B:

      The ballerina's routine is 13/5 minutes long, which is equal to 2.6 minutes.

    If she shortens it by 15/16 minutes, she will be shortening it by 2.6 - 2.6/16 = 0.01 minutes.

    So, her routine will be 2.6 - 0.01 = 2.59 minutes long after shortening it.

Expected answer: 133/80

Correct? No

🔗 Problem

Problem: Miss Daisy has 19/6 kg of fertilizers for her flowers. If she uses 17/20 kg on her roses, how much fertilizers does she have left to use on her other flowers?

Gemma 2B:

      Reasoning:

    Miss Daisy has 19/6 kg of fertilizers for her flowers.
    She uses 17/20 kg on her roses, so she has 19/6 - 17/20 = <<19/6-17/20=3/60>>3/60 kg of fertilizers left to use on her other flowers.

Expected answer: 139/60

Correct? No

🔗 Problem

Problem: Scientists have discovered that the moon is slowly moving away from Earth. If the distance increases by 4/16 meters every year, and unexpectedly there was an additional increase of 20/6 meters this year, what is the total change in distance this year?

Gemma 2B:

      The total change in distance this year is:

    Δd = 4/16 + 20/6 = 4/16 + 3/2 = 11/8

    So, the total change in distance this year is 11/8 meters.

Expected answer: 43/12

Correct? No

🔗 Problem

Problem: Bob has 11/3 dollars in one pocket of his wallet and 12/19 dollars in another pocket. How much money does he have in total in his wallet?

Gemma 2B:

      To find the total amount of money Bob has in his wallet, we need to add the amount of money in each pocket together.

    In the first pocket, Bob has 11/3 dollars, which is equal to 11/3 \* 3 = 33 cents.

    In the second pocket, Bob has 12/19 dollars, which is equal to 12/19 \* 19 = 225 cents.

    So, the total amount of money Bob has in his wallet is 33 + 225 = 258 cents.

Expected answer: 245/57

Correct? No

🔗 Problem

Problem: In an ocean, a shark swims a distance of 5/5 miles in the morning and adds an additional 12/18 miles in the afternoon. How many miles in total did the shark swim that day?

Gemma 2B:

      The shark swam a total distance of 5/5 + 12/18 = 5/5 + 3/6 = 8/12 = 2/3 miles that day.

Expected answer: 5/3

Correct? No

🔗 Problem

Problem: Jim types 20 words in 16 seconds and Mary types 9 words in 4 seconds. How many words per second do Jim and Mary type in total?

Gemma 2B:

      To find the total words per second typed by Jim and Mary, we need to divide the total number of words typed by the total time taken to type those words.

    Jim typed 20 words in 16 seconds, so the total number of words typed by Jim is 20.
    Mary typed 9 words in 4 seconds, so the total number of words typed by Mary is 9.

    The total time taken to type the words by Jim is 16 seconds, and the total time taken to type the words by Mary is 4 seconds.

    To find the total words per second typed by Jim, we can divide the total number of words typed by the total time taken to type those words:

    20 words / 16 seconds = 1.25 words per second (Jim)

    To find the total words per second typed by Mary, we can divide the total number of words typed by the total time taken to type those words:

    9 words / 4 seconds = 2.25 words per second (Mary)

    Therefore, the total words per second typed by Jim and Mary is 1.25 + 2.25 = 3.25 words per second.

Expected answer: 7/2

Correct? No

🔗 Problem

Problem: Max rode his scooter for 9/7 miles in the morning and then 1/9 miles less in the afternoon. How many miles did he ride his scooter in the afternoon?

Gemma 2B:

      Let's first calculate the total distance Max rode his scooter in the morning:

    9/7 miles = 1.25 miles

    Now, let's calculate the distance Max rode his scooter in the afternoon:

    1/9 miles = 0.11 miles

    Max rode his scooter for 0.11 miles less in the afternoon than he rode in the morning. Therefore, the total distance Max rode his scooter in the afternoon is:

    1.25 miles - 0.11 miles = 1.14 miles

    So, Max rode his scooter for 1.14 miles in the afternoon.

Expected answer: 74/63

Correct? No

🔗 Problem

Problem: At a circus, a clown rode a unicycle for 9/8 hours. After a short break, she juggled for another 2/10 hours. How many hours in total did she perform?

Gemma 2B:

      The clown rode a unicycle for 9/8 hours, which is equal to 9/8 hours = 1 hour.
    After a short break, she juggled for another 2/10 hours, which is equal to 2/10 hours = 1/5 hours.
    In total, the clown performed for 1 hour + 1/5 hours = 11/5 hours.
    ### Answer: 11/5 hours

Expected answer: 53/40

Correct? No

🔗 Problem

Problem: If Timmy dumps 7/2 kg of sand into his sandbox and later adds another 1/2 kg, how much sand is now in his sandbox?

Gemma 2B:

      Timmy has 7/2 kg of sand in his sandbox initially.
    Later, he adds 1/2 kg of sand, so the total amount of sand in his sandbox is:
    7/2 kg + 1/2 kg = 9/2 kg
    Therefore, there are 9/2 kg of sand in Timmy's sandbox now.

Expected answer: 4

Correct? No

🔗 Problem

Problem: A wizard brewed a potion that required 18/8 ounces of moon roots and 11/7 ounces of stardust. How many ounces of ingredients did the wizard use in total to prepare the potion?

Gemma 2B:

      To find the total number of ounces of ingredients used by the wizard, we need to multiply the number of ounces of each ingredient.

    18/8 ounces of moon roots = 2 ounces
    11/7 ounces of stardust = 1 ounce

    Therefore, the wizard used a total of 2 + 1 = 3 ounces of ingredients to prepare the potion.

Expected answer: 107/28

Correct? No

🔗 Problem

Problem: An alien UFO traveled 3/10 of a mile, then immediately traveled an additional 16/20 of a mile. How many miles did the UFO travel in total?

Gemma 2B:

      The UFO traveled a total distance of 3/10 of a mile + 16/20 of a mile = 3/10 of a mile + 8/20 of a mile = 11/20 of a mile.

    To convert this fraction to a decimal, we can multiply both the numerator and denominator by 20:

    11/20 = 11/20 x 20 = 220/20 = 11

    So, the UFO traveled a total distance of 11 miles.

Expected answer: 11/10

Correct? No

🔗 Problem

Problem: A chair manufacturing firm makes 4/14 of a chair every hour with one machine, and another machine makes 20/4 chairs. How many chairs are made by both machines in one hour?

Gemma 2B:

      The first machine makes 4/14 of a chair every hour, so it makes 4/14 of a chair in one hour.
    The second machine makes 20/4 chairs in one hour.
    Therefore, both machines make a total of 4/14 + 20/4 = 24/14 = 2 chairs in one hour.

Expected answer: 37/7

Correct? No

🔗 Problem

Problem: A blue shark swam for 2/4 miles and a hammerhead shark swam for 7/10 miles. How many miles did they swim together?

Gemma 2B:

      Let's first find the total distance swam by the blue shark:

    2/4 miles = 1/2 miles

    So, the blue shark swam for 1/2 miles.

    Now, let's find the total distance swam by the hammerhead shark:

    7/10 miles = 3/5 miles

    So, the hammerhead shark swam for 3/5 miles.

    Now, let's find the total distance swam by both the blue shark and the hammerhead shark:

    1/2 miles + 3/5 miles = 5/10 miles

    So, both the blue shark and the hammerhead shark swam for 5/10 miles together.

Expected answer: 6/5

Correct? No

🔗 Problem

Problem: Lisa has two milk bottles. One bottle has 8/18 gallons of milk while the other bottle has 18/8 gallons. How much milk does Lisa have in total?

Gemma 2B:

      Lisa has a total of 8/18 gallons + 18/8 gallons = 8/18 + 18/8 = 26/18 gallons of milk.

Expected answer: 97/36

Correct? No

🔗 Problem

Problem: A tree grows 1/10 of its height every month. This month, it additionally has grown 12/6 feet due to a fertilizer being applied. How much has the tree grown in height this month?

Gemma 2B:

      The tree grows 1/10 of its height every month, so it has grown 1/10 of its height in the previous month.

    The tree has additionally grown 12/6 feet due to the fertilizer being applied.

    Therefore, the tree has grown a total of 1/10 of its height + 12/6 feet = 1/10 + 12/6 = 13/6 feet in height this month.

Expected answer: 21/10

Correct? No

🔗 Problem

Problem: John sets up a large tent that occupies an area of 13/11 acres. Later in the day, he decides to set up another smaller tent which occupies an area of 8/20 acres. What is the total area occupied by both tents?

Gemma 2B:

      The total area occupied by both tents is:

    13/11 acres + 8/20 acres = 13/11 + 8/20 = 13/11 + 4/5 = 17/11

    So, the total area occupied by both tents is 17/11 acres.

Expected answer: 87/55

Correct? No

🔗 Problem

Problem: Captain Jack has a treasure map that shows the treasure is at a location that is (17 / 20) km to the East and then (15 / 3) km to the North from their starting point. How far must they travel in total to reach the treasure?

Gemma 2B:

      To find the total distance to reach the treasure, we need to add the distances to the East and North.

    The distance to the East is (17 / 20) km, which is equal to 17/20 = 0.88 km.
    The distance to the North is (15 / 3) km, which is equal to 15/3 = 5 km.

    Therefore, the total distance to reach the treasure is 0.88 km + 5 km = 5.88 km.

Expected answer: 117/20

Correct? No

🔗 Problem

Problem: At a campfire, Sarah collected 11/20 of a pound of firewood and Alex collected 9/7 pounds. How many pounds of firewood did they collect in total?

Gemma 2B:

      Reasoning:

    Sarah collected 11/20 of a pound of firewood, which is equal to 11/20 of 1 pound = 11/20 = 0.55 pounds.

    Alex collected 9/7 pounds of firewood, which is equal to 9/7 of 1 pound = 9/7 = 0.13 pounds.

    In total, they collected 0.55 + 0.13 = 0.68 pounds of firewood.

    ### Answer: 0.68 pounds.

Expected answer: 257/140

Correct? No

🔗 Problem

Problem: Captain Bill sailed 19/5 miles north, before changing track and sailing an additional 12/15 miles north. How many miles north did Captain Bill sail in total?

Gemma 2B:

      To find the total distance Captain Bill sailed, we need to add the distance he sailed in each direction.

    Captain Bill sailed 19/5 miles north in the first direction, so he sailed 19/5 = 3.8 miles north.

    Then, he changed track and sailed an additional 12/15 miles north in the second direction, so he sailed 12/15 = 8 miles north.

    Therefore, the total distance Captain Bill sailed is 3.8 + 8 = 11.8 miles north.

Expected answer: 23/5

Correct? No

🔗 Problem

Problem: A restaurant uses 19/17 pounds of ham and 9/4 pounds of turkey for their signature sandwich. What is the total weight of the two types of meat per sandwich?

Gemma 2B:

      To find the total weight of the two types of meat per sandwich, we need to add the weight of the ham and turkey together and then divide by the number of sandwiches.

    First, let's convert the fractions to decimals:

    19/17 = 1.03
    9/4 = 2.25

    Now, let's add the weights of the two types of meat together:

    1.03 + 2.25 = 3.28

    Next, let's divide the total weight by the number of sandwiches:

    3.28 ÷ 2 = 1.64

    So, the total weight of the two types of meat per sandwich is 1.64 pounds.

Expected answer: 229/68

Correct? No

🔗 Problem

Problem: Lucy has a sleeping bag that is 18/19 meter long. She got an extension for her sleeping bag which made it 8/11 meter longer. What's the total length of the sleeping bag now?

Gemma 2B:

      The total length of the sleeping bag is 18/19 + 8/11 = 18/19 + 8/11 = 18/19 + 8/11 = 26/29 meters long.

Expected answer: 350/209

Correct? No

🔗 Problem

Problem: Sarah pours 10/13 gallon of water into a container. Then she adds another 8/2 gallons of water into it. How many total gallons of water are there in the container now?

Gemma 2B:

      Reasoning:

    1. Sarah pours 10/13 gallons of water into the container, which means she pours 10/13 of the total 20 gallons of water.
    2. She then adds another 8/2 gallons of water, which means she adds 8/2 of the total 10 gallons of water.
    3. Therefore, the total number of gallons of water in the container is 10 + 8 = 18 gallons.

    ### Answer: 18 gallons.

Expected answer: 62/13

Correct? No

🔗 Problem

Problem: Mandy has 9/2 KGs of apples. She uses 1/4 KG of them to make apple pie. How many KGs of apples does she have left?

Gemma 2B:

      Reasoning: Mandy has 9/2 = <<9/2=4.5>>4.5 KGs of apples.
    She uses 1/4 = <<1/4=0.25>>0.25 KGs of apples to make apple pie.
    So, Mandy has 4.5 - 0.25 = <<4.5-0.25=4.25>>4.25 KGs of apples left.
    ### Answer: 4.25 KGs of apples.

Expected answer: 17/4

Correct? No

🔗 Problem

Problem: John spends 12/7 hours fixing a watch and then spends an additional 3/9 hours polishing it. How many hours in total did he spent working on the watch?

Gemma 2B:

      John spent 12/7 hours fixing the watch, which is equal to 12/7 = 1.

Expected answer: 43/21

Correct? No

🔗 Problem

Problem: Peggy the Penguin was swimming and had traveled for 5/4 miles when she turned around to go back to her family. She swam back for 1/12 miles before deciding to rest. How many miles is Peggy from her family?

Gemma 2B:

      Peggy the Penguin swam for a total distance of 5/4 miles + 1/12 miles = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 + 1/12 = 5/4 +

Expected answer: 7/6

Correct? No

🔗 Problem

Problem: A farmer has a fields where he grows wheat. One part of the field is 4 acres and another part is 11/12 of an acre. How many acres in total does he use to grow wheat?

Gemma 2B:

      The farmer uses a total of 4 acres + 11/12 of an acre = 4 + 11/12 = 15/12 of an acre to grow wheat.

    To convert 15/12 of an acre to acres, we can divide by 12:

    15/12 of an acre ÷ 12 = 1.25 acres

    Therefore, the farmer uses 1.25 acres to grow wheat.

Expected answer: 59/12

Correct? No

🔗 Problem

Problem: If a dress designer used 11/4 yards of red fabric, and then added 5/17 yards of blue fabric, how many yards of fabric did she use in total?

Gemma 2B:

      The dress designer used 11/4 yards of red fabric, which is equal to 11/4 x 4 = 47/4 yards of red fabric.
    She then added 5/17 yards of blue fabric, which is equal to 5/17 x 17 = 85/17 yards of blue fabric.
    In total, the dress designer used 47/4 + 85/17 = 132/17 yards of fabric.

Expected answer: 207/68

Correct? No

🔗 Problem

Problem: Jacob has 11/2 feet long guitar wire. If he uses 5/16 feet of it to fix a guitar, how much wire is remaining?

Gemma 2B:

      To find out how much wire is remaining, we need to subtract the amount of wire used to fix the guitar from the total amount of wire Jacob has.

    Jacob has 11/2 feet of wire, and he uses 5/16 feet of it to fix the guitar. So, the amount of wire remaining is:

    11/2 - 5/16 = 6/2 = 3 feet

    Therefore, Jacob has 3 feet of wire remaining after using 5/16 feet to fix the guitar.

Expected answer: 83/16

Correct? No

🔗 Problem

Problem: Samantha has a 4 fluid ounce tube of toothpaste. In one week, she uses 17/14 fluid ounces. How much toothpaste does she have left after that week?

Gemma 2B:

      To find out how much toothpaste Samantha has left after one week, we need to first find out how much she used in one week. We can do this by multiplying the number of fluid ounces she used by the amount of toothpaste in a fluid ounce.

    17/14 fluid ounces x 1 fluid ounce = 17 fluid ounces

    Now, we can subtract the amount of toothpaste Samantha used in one week from the total amount of toothpaste she had:

    4 fluid ounces - 17 fluid ounces = -13 fluid ounces

    Therefore, Samantha has 13 fluid ounces of toothpaste left after one week.

Expected answer: 39/14

Correct? No

🔗 Problem

Problem: Maria has 12 candies. She gives each of her 6 friends an equal amount of candies. Maria also has 20 stickers and she gives each of her 20 friends a sticker. How many candies and stickers does each friend get in total?

Gemma 2B:

      Let's start by using the information that Maria has 12 candies and she gives each of her 6 friends an equal amount of candies. We can say that each friend gets 12/6 = <<12/6=2>>2 candies.

    Now, let's move on to the information that Maria has 20 stickers and she gives each of her 20 friends a sticker. We can say that each friend gets 20/20 = <<20/20=1>>1 sticker.

    So, each friend gets a total of 2 candies and 1 sticker.

Expected answer: 3

Correct? No

🔗 Problem

Problem: During a rainy day, the first rainfall lasted for 4/13 hours, and the next rainfall was a little longer and lasted for 11/5 hours. How many hours did it rain in total?

Gemma 2B:

      The first rainfall lasted for 4/13 hours, which is equal to 4/13 of 1 hour, or 1/36 of a day.
    The second rainfall lasted for 11/5 hours, which is equal to 11/5 of 1 hour, or 22/25 of a day.
    Therefore, the total amount of time it rained is 1/36 + 22/25 = 26/25 of a day.

Expected answer: 163/65

Correct? No

🔗 Problem

Problem: Jane cuts 10/12 yards of fabric from a blanket. Then, she cuts an additional 10/10 yard. How many yards of fabric has she cut from the blanket in total?

Gemma 2B:

      Reasoning:

    1. Jane cuts 10/12 yards of fabric from the blanket in April.
    2. She cuts an additional 10/10 yards of fabric in May.

    Total yards cut in April: 10/12 = <<10/12=8>>8 yards
    Total yards cut in May: 10/10 = <<10/10=10>>10 yards

    Total yards cut from the blanket: 8 + 10 = <<8+10=18>>18 yards

    ### Answer: 18 yards

Expected answer: 11/6

Correct? No

🔗 Problem

Problem: A fairy sprinkles 11/12 oz of magic dust over an enchanted field. She then sprinkles an additional 9/10 oz of dust over a grove of enchanted apple trees. What is the total amount of magic dust the fairy used?

Gemma 2B:

      The fairy used a total of 11/12 oz + 9/10 oz = 20/12 oz of magic dust.

Expected answer: 109/60

Correct? No

🔗 Problem

Problem: A word game assigns 3/11 of a point for each vowel used and 8/10 of a point for each consonant. If you use 1 vowel and 1 consonant, what will your score be?

Gemma 2B:

      If you use 1 vowel and 1 consonant, your score will be:

    3/11 of a point for the vowel + 8/10 of a point for the consonant = 2.4/10

    So your score will be 2.4/10.

Expected answer: 59/55

Correct? No

🔗 Problem

Problem: You are writing a letter that is 4/1 pages long. You remove 14/9 pages from it. How many pages is the letter now?

Gemma 2B:

      The letter is now 4-14/9 = <<4-14/9=1/9>>1/9 pages long.

Expected answer: 22/9

Correct? No

🔗 Problem

Problem: Anne painted 16/20 of a table, and then Bob painted an additional 5/20 of the table. How much of the table has been painted in total?

Gemma 2B:

      Reasoning:

    Anne painted 16/20 of the table, which means she painted 16/20 of the total area of the table.
    Bob painted an additional 5/20 of the table, which means he painted 5/20 of the remaining area that was not painted by Anne.

    Therefore, the total amount of the table that has been painted is:

    16/20 + 5/20 = 21/20

    So, 21/20 of the table has been painted in total.

Expected answer: 21/20

Correct? Yes

🔗 Problem

Problem: The star Alpha shines 17/3 times brighter than an average star, while the star Bravo shines 20/16 times as bright. How much brighter are both stars compared to an average star if you add up the relative brightness of these two stars?

Gemma 2B:

      To find the relative brightness of both stars, we need to find the ratio of their brightness to an average star.

    Let's call the relative brightness of Alpha as x/17 and the relative brightness of Bravo as y/20.

    We know that Alpha shines 17/3 times brighter than an average star, so we can write:

    x/17 = 17/3

    Similarly, we can write:

    y/20 = 20/16

    Now, we can add these two equations to find the ratio of the brightness of both stars to an average star:

    (x/17) + (y/20) = (17/3) + (20/16)

    Simplifying this equation, we get:

    x/17 + y/20 = 19/30

    Now, we can find the relative brightness of both stars by multiplying their relative brightness by 30:

    x = 17 \* 30 = 510

    y = 20 \* 30 = 600

    So, the relative brightness of Alpha is 510/30 = 17.33 times brighter than an average star, and the relative brightness of Bravo is 600/30 = 20 times brighter than an average star.

    Therefore, if we add up the relative brightness of both stars, we get:

    17.33 + 20 = 37.33

    So, both stars are 37.33 times brighter than an average star.

Expected answer: 83/12

Correct? No

🔗 Problem

Problem: There are 17/20 kg of red apples and 18/8 kg of green apples in a grocery store. How many kilograms of apples are in the store in total?

Gemma 2B:

      There are 17/20 kg of red apples and 18/8 kg of green apples in the grocery store.

    To find the total number of kilograms of apples in the store, we need to add the number of kilograms of red apples to the number of kilograms of green apples.

    17/20 kg of red apples = 17/20 kg
    18/8 kg of green apples = 18/8 kg

    Adding these two quantities gives us a total of:

    17/20 kg + 18/8 kg = 35/10 kg

    Therefore, there are 35/10 kg of apples in the store in total.

Expected answer: 31/10

Correct? No

🔗 Problem

Problem: If a bus drives 12/20 of a mile then goes an additional 12/12 of a mile, how many miles did the bus travel in total?

Gemma 2B:

      If a bus drives 12/20 of a mile, it means it has traveled 12/20 of a mile, or 6/20 of a mile.

    If it then goes an additional 12/12 of a mile, it means it has traveled 12/12 of a mile, or 1 mile.

    Therefore, the bus has traveled a total of 6/20 + 1 = 7/20 of a mile.

    To convert this fraction to a decimal, we can divide both the numerator and the denominator by 20:

    7/20 = 0.35

    So the bus has traveled 0.35 miles in total.

Expected answer: 8/5

Correct? No

🔗 Problem

Problem: In the first hour, a shark swims 3/9 miles and in the second hour height increases its speed to swim 13/5 miles. How many miles does the shark swim in total in these two hours?

Gemma 2B:

      In the first hour, the shark swims 3/9 miles, so it swims 3 miles in the first hour.
    In the second hour, the shark swims 13/5 miles, so it swims 13 miles in the second hour.
    Therefore, the shark swims a total of 3 + 13 = 16 miles in these two hours.

Expected answer: 44/15

Correct? No

🔗 Problem

Problem: A drummer hits a rhythm where they hit once every 17/17 seconds for the first beat and then 2/12 seconds for the second beat. How long does it take for the drummer to hit the two beats together?

Gemma 2B:

      The drummer hits the first beat every 17/17 seconds, which means they hit it once every 17 seconds.
    The drummer hits the second beat every 2/12 seconds, which means they hit it once every 2 seconds.
    To find the total time it takes for the drummer to hit the two beats together, we need to add the time it takes for the drummer to hit the first beat and the time it takes for the drummer to hit the second beat.

    17 seconds + 2 seconds = 19 seconds

    Therefore, it takes the drummer 19 seconds to hit the two beats together.

Expected answer: 7/6

Correct? No

🔗 Problem

Problem: If a fireplace burns 12/17 cord of wood in the morning and 8/19 cord in the evening, what is the total cord of wood it burns in a day?

Gemma 2B:

      The total cord of wood burned in a day is:

    12/17 + 8/19 = 12/17 + 8/19 = 20/17 = 1.11 cord

    So, the fireplace burns 1.11 cord of wood in a day.

Expected answer: 364/323

Correct? No

🔗 Problem

Problem: A butterfly's flight consisted of two segments. The first segment was 18/19 of a mile and the second was 9/17 of a mile. How long was the entire flight?

Gemma 2B:

      The first segment was 18/19 of a mile, which is equal to 18/19 of a mile.
    The second segment was 9/17 of a mile, which is equal to 9/17 of a mile.

    The entire flight was the sum of the two segments:
    18/19 of a mile + 9/17 of a mile = 18/19 + 9/17 = 27/19 of a mile.

    Therefore, the entire flight was 27/19 of a mile.

Expected answer: 477/323

Correct? No

🔗 Problem

Problem: While measuring a map, Jenna finds that the distance between two cities is 13/10 inches, and the distance from the second city to the third city is 14/15 inches. What is the total distance Jenna measured between the three cities on the map?

Gemma 2B:

      To find the total distance between the three cities, we need to add the distances between the first two cities and the distance between the second city and the third city.

    The distance between the first two cities is 13/10 inches, so the total distance between the first two cities is 13/10 + 13/10 = 26/10 inches.

    The distance between the second city and the third city is 14/15 inches, so the total distance between the second and third cities is 14/15 + 14/15 = 28/15 inches.

    Therefore, the total distance between the three cities is 26/10 + 28/15 = 50/15 inches.

Expected answer: 67/30

Correct? No

🔗 Problem

Problem: A helium balloon rises at a rate of 13/6 feet per second. After a gust of wind, its speed increases by 3/16 feet per second. What is the new speed of the balloon in feet per second?

Gemma 2B:

      The new speed of the balloon can be found by adding the rate of rise to the increase in speed due to the gust of wind.

    13/6 + 3/16 = 19/16 feet per second

    Therefore, the new speed of the balloon is 19/16 feet per second.

Expected answer: 113/48

Correct? No

🔗 Problem

Problem: Scarlett has 16/10 gallons of red paint. If she uses 1/20 of a gallon for a small art project, how many gallons of red paint will she have left?

Gemma 2B:

      If Scarlett uses 1/20 of a gallon of red paint for a small art project, she will have 16/10 - 1/20 = <<16/10-1/20=15/10>>15/10 gallons of red paint left.

Expected answer: 31/20

Correct? No

🔗 Problem

Problem: Susie has a box of 12 chocolate bars. She decides to eat 2/5 of a chocolate bar herself. How many chocolate bars are left in the box?

Gemma 2B:

      Reasoning: Susie eats 2/5 of a chocolate bar, which means she eats 2/5 of 12 chocolate bars.

    2/5 of 12 = 2/5 of 12 = <<2/5=4>>4 chocolate bars.

    So, there are 12 - 4 = <<12-4=8>>8 chocolate bars left in the box.

Expected answer: 58/5

Correct? No

🔗 Problem

Problem: A plane is flying at an altitude of 2 miles, then it descends by 10/15 of a mile. What is the new altitude of the plane?

Gemma 2B:

      The new altitude of the plane is 2 - (10/15) = 2 - (0.667) = 1.333 miles.

Expected answer: 4/3

Correct? No

🔗 Problem

Problem: A child goes down a slide that's 6/19 meters long, and then goes down another slide that's 17/4 meters long. How many total meters did they slide?

Gemma 2B:

      The first slide is 6/19 meters long, so it's 6/19 = <<6/19=0.

Expected answer: 347/76

Correct? No

🔗 Problem

Problem: A colonial fireplace burns firewood at a rate of 4/15 cords per hour in the early morning. In the late night, the rate increases to 14/15 cords per hour. How much firewood does the fireplace burn in total in one hour split between the early morning and late night?

Gemma 2B:

      To find the total amount of firewood burned in one hour, we need to find the total amount burned in the early morning and the late night, and then add them together.

    In the early morning, the fireplace burns firewood at a rate of 4/15 cords per hour, so it burns 4/15 \* 1 hour = 0.28 cords of firewood in the early morning.

    In the late night, the fireplace burns firewood at a rate of 14/15 cords per hour, so it burns 14/15 \* 1 hour = 0.94 cords of firewood in the late night.

    Therefore, the total amount of firewood burned in one hour is 0.28 + 0.94 = 1.22 cords.

Expected answer: 6/5

Correct? No

🔗 Problem

Problem: An alien travelled 9/20 of a light year towards earth then decided to move forward another 11/7 light years. How many light years has the alien travelled in total?

Gemma 2B:

      The alien has traveled a total of:

    9/20 of a light year + 11/7 light years = 9/20 + 11/7 = 10/20 + 11/7 = 11/20 = 11/20 of a light year

    Therefore, the alien has traveled 11/20 of a light year in total.

Expected answer: 283/140

Correct? No

🔗 Problem

Problem: If Bob has 10/2 of a cucumber and he adds it to 1/7 of another cucumber, how many cucumbers does he have in total?

Gemma 2B:

      If Bob has 10/2 of a cucumber, he has 5 cucumbers.
    If he adds it to 1/7 of another cucumber, he has 5 + 1/7 = 5.85 cucumbers.
    ### Answer: 5.85

Expected answer: 36/7

Correct? No