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Gemma 2B on 5.NF.A.2

Common Core Standard 5.NF.A.2

This standard covers the following:

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

🔗 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:

Reasoning: The ball traveled a total of 18/4 + 19/9 = <<18/4+19/9=37/36>>37/36 yards in their game.
### Answer: 37/36

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: Johnnie received 18/7 + 12/14 = <<18/7+12/14>> bananas in the morning and afternoon.
### Answer: 30 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:

Reasoning: The total distance from the floor to the ceiling is 4/19 + 9/10 = <<(4/19)+(9/10)>>190/190.
### Answer: 190

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:

Reasoning: 17/3 - 15/11 = <<17/3-15/11>> = <<(17)(11)-(15)(3)/33>> = <<177-45>> = <<132>> liters of apple juice are left unused.
### Answer: 132

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:

Reasoning: Billy covered 4 miles initially, and then rolled back 17/20 of a mile.
Therefore, he traveled 4 + (17/20) = <<4+(17/20)=5.75>>5.75 miles forward.
### Answer: 5.75

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:

Reasoning: The total distance traveled can be calculated by adding the two distances traveled on different days.
15/3 + 2/7 = <<15/3+2/7>> = 50/21.
The rocket has traveled 50/21 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:

Reasoning: First, he found 10/13 of the map at the first site, which is equal to 10/13. Then, he found 16/19 of the same map at the second site, which is equal to 16/19.
The total portion of the map that he found is 10/13 + 16/19 = <<10/13+16/19=32/57>>32/57 of the map.
### Answer: 32/57

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:

Reasoning: The hiker walked 9/6 miles North, which is equivalent to 150/6 = 25 miles.
Then, the hiker walked 2/16 miles East, which is equivalent to 50/16 = 3.125 miles.
The total distance traveled is 150/6 + 50/16 = 25 + 3.125 = 28.125 miles.
### Answer: 28.125

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 started with 16/9 cubic feet of sand, and then she removed 4/13 cubic feet of sand.
16/9 - 4/13 = <<16/9 - 4/13>> = <<(16-4)/9-4/13>> = <<12/9-4/13>> = <<48/120-48/130>> = <<48/130>>
### Answer: 48/130

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:

Reasoning: Jacob has 15/12 meters of rope, and he adds 17/17 meters to it, which is equal to 17/17 meters.
Therefore, the total length of the rope now is 15/12 + 17/17 = 15/12 + 17/17 = 35/12 meters.
### Answer: 35/12

Expected answer: 9/4

Correct? No

🔗 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:

Reasoning: Mark has 1 full pair, and 13/4 pairs from various incomplete sets.
He has 1 + 13/4 = <<1+13/4=5/4>>5/4 pairs of pants in total.
### Answer: 5/4

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:

Reasoning: She spent 8/8 hours on one subject and an additional 20/19 hours on another subject, which is a combined total of 8/8+20/19 = <<8/8+20/19=32/39>>32/39 hours.
### Answer: 32/39

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:

Reasoning: The cloud ascended 15/12 - 12/3 = <<15/12 - 12/3>> 5/12 meters from the ground.
### Answer: 5/12

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:

Reasoning: Jack rides 3/9 of a mile to the library, which is 3/9 of 12 = 4/15 of a mile.
After leaving the library, he scoots another 17/15 of a mile to his grandparents' house, which is 17/15 of 3 = 7/15 of a mile.
Jack rides 3/9 + 7/15 = 4/15 of a mile in total.
### Answer: 4/15

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:

Reasoning: The total burn time for the logs is 4 hours, and the total burn time for the twigs is 16 hours.
The total burn time for the logs and twigs is 4 + 16 = 20 hours.
### Answer: 20

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:

Reasoning: The ring maker used 12/16 ounces of silver for the base of the ring, and 16/2 ounces to make the rest of the ring.
So, the ring maker used 12/16 + 16/2 = <<12/16+16/2=4>>4 ounces of silver in total.

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:

Reasoning: The total number of apples produced in the morning and afternoon is 10/11 + 17/11 = 27/11.
The farmer had 10/11 bushels in the morning and 17/11 bushels in the afternoon, so the total number of apples produced in total is 10/11 + 17/11 = 27/11.
### Answer: 27/11

Expected answer: 27/11

Correct? Yes

🔗 Follow-up

Problem: Now assume the farmer's first apple tree produced 10/9 bushels instead of 10/11 bushels in the morning. With the same amount of apples in the afternoon, how many bushels of apples did this tree produce in one day?

Gemma 2B:

Reasoning: The total number of apples produced in the morning and afternoon is 10/9 + 17/9 = 27/9.
The farmer had 10/9 bushels in the morning and 17/9 bushels in the afternoon, so the total number of apples produced in one day is 10/9 + 17/9 = 27/9.
### Answer: 27/9

Expected answer: 263/99

Correct? No

🔗 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:

Reasoning: Sam's range increased by 3/14 of a mile, which is equivalent to 3/14 of 1 mile.
Similarly, Joe's range increased by 16/16 of a mile.
Their combined range increase is 3/14 + 16/16 = 19/14.
### Answer: 19/14

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:

Reasoning: 15/10 + 9/18 = <<15/10+9/18=30/36>>30/36 yards of fabric are used for the two sections.
### Answer: 30

Expected answer: 2

Correct? No

🔗 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:

Reasoning: The turtle covered 10/5 - 5/16 = <<10/5-5/16=16/60-20/60>>16/60-20/60 miles from its starting point.
### Answer: 16/60

Expected answer: 27/16

Correct? No

🔗 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:

Reasoning: The painter used 18/11 + 1/8 = <<18/11+1/8=144/88>>144/88 liters of blue paint and 1/8 = <<1/8>>1/8 liters of white paint.
### Answer: 144+1/8=144.125

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:

Reasoning: The total time taken for the tasks was 4 minutes + 14 minutes = 28 minutes.
The total number of tasks executed per minute was 8 tasks/4 minutes = 2 tasks/minute.
### Answer: 2

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:

Reasoning: The first pot contains 12/13 of a pound of gold coins, which is equal to 12/13 of 1 pound = 4/13 of a pound. The second pot contains 3/2 pounds of gold coins, which is equal to 3/2 of 1 pound = 1.5 pounds.
The total amount of gold in the two pots is 4/13 + 1.5 = 25/13 pounds.
### Answer: 25/13

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:

Reasoning: The first part is 4/4 hours long, and the second part is 11/1 hour long.
The total time is 4/4 + 11/1 = <<4/4+11/1=14/4>>14/4 hours.
### Answer: 14/4

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:

Reasoning: There are 10 ducks and 8 fish in each pond, and there are 5 ponds and 10 pools, resulting in a total of 10 + 8 = 18 animals in each pond and pool combined.
### Answer: 18

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:

Reasoning: The total distance between Town A and Town C can be calculated by adding the distances between Town A and Town B and the distances between Town B and Town C.
15/11 + 16/15 = 15/15 + 16/15 = 31/15 = 2.
Therefore, the total distance between Town A and Town C on the map is 2 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:

Reasoning: The total tons of soap produced in a day = 13/18 + 4/6 = <<13/18+4/6=29/36>>29/36 tons.
### Answer: 29/36

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:

Reasoning: Mark cut off 13/12 = <<13/12>> feet from the sleeping bag.
His sleeping bag is now 19/2 - 13/12 = <<19/2 - 13/12>> feet long.
### Answer: 13 1/2 feet

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:

Reasoning: Mary fed 6/20 * 4 = <<6/20 * 4=0.3>>0.3 pounds of food to the monkeys, and 18/15 * 4 = <<18/15 * 4=1.2>>1.2 pounds of food to the giraffes.
Mary fed 0.3 + 1.2 = <<0.3+1.2=1.5>>1.5 pounds of food to the monkeys and giraffes altogether.
### Answer: 1.5

Expected answer: 3/2

Correct? Yes

🔗 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:

Reasoning: After collecting the 4/1 cards, Albert has 20/17 - 4/1 = <<20/17-4/1=13/17>>13 cards.
### Answer: 13

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:

Reasoning: The jeweler has 5/14 + 18/19 = <<5/14+18/19=73/67>>73/67 pounds of silver now to make rings.
### Answer: 73/67

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:

Reasoning: After the first movement, the turtle is 11 meters north of its starting point. After the second movement, it is 11 meters north of its starting point, minus 15/15 of a meter = 0.
### Answer: 11

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: 19/2 - 17/2 = <<19/2-17/2=2/2>>2 ounces of chocolate she has left.
### Answer: 2

Expected answer: 1

Correct? No

🔗 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:

Reasoning: The total capacity of the backpack after adding the pouch is 20/9 + 8/4 = <<20/9+8/4=40/36>>40/36 liters.
### Answer: 40/36

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:

Reasoning: First, he had 11/8 ounces of gold. Then, he found 5/5 ounces of gold, so he had 11/8 + 5/5 = <<11/8+5/5=13/8>>13/8 ounces of gold.
### Answer: 13/8

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:

Reasoning: Jake started with 9/10 of a dollar, which is equal to 0.9. After receiving 20/15 of a dollar, he added 0.2 to 0.9, which is equal to 0.92. Therefore, Jake has 0.92 dollars in his wallet now.
### Answer: 0.92

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:

Reasoning: The combined height of the front and back portions of the chair is 5/2 + 20/14 = <<5/2+20/14=70/28>>70/28 feet.
### Answer: 70/28

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:

Reasoning: John has 5 shirts, and he donated 12/9 of them = <<12/9=1.66>>1.66 shirts to charity.
John has 5 - 1.66 = <<5-1.66=3.34>>3.34 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:

Reasoning: First, we need to find the total length of the jacket by multiplying the length of the jacket by 3/14.
14/3 = <<14/3>> 4
Therefore, the total length of the jacket after the alteration is 4 meters.
### Answer: 4

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:

Reasoning: 2/6 + 14/7 = <<2/6+14/7=28/42>>28/42 hours.
### Answer: 28/42

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:

Reasoning: 10/12 + 3/8 = <<10/12+3/8=45/96>>45/96 hours.
John spent 45/96 hours watching movies and TV shows in total.

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:

Reasoning: The total time taken to build a chair is 5/3 + 10/13 = <<5/3+10/13=26/39>>26/39 hours.
### Answer: 26/39

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:

Reasoning: The small beads are 8/4 mm = <<8/4=2mm>>2mm in diameter, and the large beads are 15/2 mm = <<15/2=7.5mm>>7.5mm in diameter.
The total added diameter = 2 mm + 7.5 mm = <<2+7.5=9.5mm>>9.5mm.
### Answer: 9.5

Expected answer: 19/2

Correct? Yes

🔗 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:

Reasoning: The total distance covered is 11/18 + 8/2 = <<11/18+8/2=22/36>>22/36 light-years.
### Answer: 22/36

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:

Reasoning: Johnathan needs 12/14 + 8/5 = <<12/14+8/5=24/70>>24/70 yards of fabric in total.
### Answer: 24

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:

Reasoning: There are 5/4 acres of pine trees, and 1/2 acre of oak trees.
Total acreage = 5/4 + 1/2 = <<5/4+1/2=7/4>>7/4 acres.
### Answer: 7/4

Expected answer: 7/4

Correct? Yes

🔗 Follow-up

Problem: After further research, it is found that the forest actually had 5/3 acres of pine trees instead of 5/4 acres. Keeping the acreage of oak trees the same, what is the new total acreage of pine and oak trees in the forest?

Gemma 2B:

Reasoning: The total acreage remains the same, 5/4 + 1/2 = 7/4 acres.
### Answer: 7/4

Expected answer: 13/6

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:

Reasoning: Jake has 12/7 + 2/14 = <<12/7+2/14=14/14>>14/14 yard of fabric to make his shirt.
### Answer: 14

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:

Reasoning: The difference in kilograms of fruit from summer to winter is 10/4 - 12/20 = <<10/4-12/20=20/40-12/40>>20/40-12/40 = 8/40 = 0.2>>0.2 kilograms.
### Answer: 0.2

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:

Reasoning: The new routine is 13/5 - 15/16 = <<13/5-15/16=120/80-120/160>>120/80-120/160.
The routine is 120/80 minutes after it was shortened.
### Answer: 120/80

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: 19/6 - 17/20 = <<19/6 - 17/20>> = 135/120 - 110/120 = 25/120.
Miss Daisy has 19/6 - 17/20 = 25/120 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:

### Answer: 20/6 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:

Reasoning: Bob has 11/3 + 12/19 = <<11/3+12/19=33/57>>33/57 dollars in total in his wallet.
### Answer: 33/57

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:

Reasoning: The shark swam 5/5 + 12/18 = <<5/5+12/18=20/36>>20/36 miles in the morning and 12/18 = <<12/18>> 20/36 miles in the afternoon.
### Answer: 20/36

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:

Reasoning: Jim types 20/16 = <<20/16=1.25>>1.25 words per second, and Mary types 9/4 = <<9/4=2.25>>2.25 words per second.
Jim and Mary type 1.25 + 2.25 = <<1.25+2.25=3.5>>3.5 words per second in total.
### Answer: 3.5

Expected answer: 7/2

Correct? Yes

🔗 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:

Reasoning: He rode 9/7 - 1/9 = <<9/7-1/9=8/9>>8/9 miles in the afternoon.
### Answer: 8

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:

Reasoning: She rode for 9/8 hours, and then she juggled for 2/10 hours.
Total hours = 9/8 + 2/10 = <<(9/8)+(2/10)>=(75/80)>>75 hours.
### Answer: 75

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:

Reasoning: After adding 7/2 kg, the total weight is 7/2+1/2 = <<7/2+1/2=9/2>>9/2 kg.
### Answer: 9/2

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:

Reasoning: The wizard used 18/8 ounces of moon roots and 11/7 ounces of stardust.
Total ounces = 18/8 + 11/7 = <<18/8+11/7=147/56>>147/56 ounces.
### Answer: 147/56

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:

Reasoning: The UFO traveled 3/10 of a mile, and then 16/20 of a mile.
So, the total distance traveled was 3/10 + 16/20 = 12/20 = 0.6 miles.
### Answer: 0.6

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:

Reasoning: The two machines make 4/14 + 20/4 = <<(4/14)+(20/4)=24/14>>24 chairs in one hour.
### Answer: 24

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:

Reasoning: The two sharks swam for a combined time that was 2/4 + 7/10 = <<(2/4)+(7/10)>>10/40=0.5 hours.
Therefore, they swam together for 0.5 hours.
### Answer: 0.5

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:

Reasoning: Lisa has 8/18 + 18/8 = <<8/18+18/8=24/18>>24/18 gallons of milk in total.
### Answer: 24

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:

Reasoning: The tree grew 1/10 of its height, which is 12/6 feet.
### Answer: 12

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:

Reasoning: The total area is 13/11 + 8/20 = <<13/11+8/20=216/220>>216/220 acres.
### Answer: 216/220

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:

Reasoning: To find the total distance, we add the two coordinates: 17 / 20 km to the East and 15 / 3 km to the North.
(17 / 20) km + (15 / 3) km = (35 / 6) km + (20 / 6) km = (55 / 6) km.
Therefore, Captain Jack must travel 55 / 6 km to reach the treasure.

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 * 1 = <<11/20>> pounds of firewood.
Alex collected 9/7 * 1 = <<9/7>> pounds of firewood.
Sarah and Alex collected 11/20 + 9/7 = <<11/20+9/7>> pounds of firewood in total.
### Answer: 11/20+9/7=11/20+7/7=11/20

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:

Reasoning: First, he sailed 19/5 miles north. Then, he changed track and sailed 12/15 miles north.
In total, he sailed 19/5 + 12/15 = <<19/5+12/15=31/15>>31/15 miles north.
### Answer: 31/15

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:

Reasoning: The total weight of the ham and turkey is 19/17 + 9/4 = <<19/17+9/4=37/56>>37/56 pounds per sandwich.
### Answer: 37/56

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:

Reasoning: The sleeping bag is 18/19 meter long.
The extension is 8/11 meter.
The total length of the sleeping bag now is 18/19 + 8/11 = <<(18/19)+(8/11)>> meter.
### Answer: 20/19 meter

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: After adding 10/13 + 8/2 = <<10/13+8/2=20/66>>20/66 gallons of water, there are 10/13 + 8/2 = <<10/13+8/2=20/66>>20/66 gallons of water in the container.
### Answer: 20/66

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 - 1/4 = <<(9/2)-(1/4)=8/2>>8/2 KGs of apples left.
### Answer: 8

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:

Reasoning: He spent 12/7 + 3/9 = <<12/7+3/9=15/6>>15/6 hours working on the watch.
### Answer: 15/6

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:

Reasoning: Peggy swam 5/4 - 1/12 = <<5/4-1/12=3/12>>3/12 miles from her family.
### Answer: 3/12

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:

Reasoning: The total area of the field is 4 + (11/12) = <<4+(11/12)=4.5>>4.5 acres.
### Answer: 4.5

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:

Reasoning: The designer used 11/4 + 5/17 = <<11/4+5/17=105/56>>105/56 yards of fabric in total.
### Answer: 105/56

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:

Reasoning: Jacob used 5/16 x 11/2 = <<5/16 x 11/2= 55/32>>55/32 feet of wire to fix the guitar.
Jacob has 11/2 - 55/32 = <<11/2 - 55/32= 64/32>>64/32 feet of wire remaining.

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:

Reasoning: Samantha used 17/14 fluid ounces in one week, which is less than half of the 4 fluid ounces she started with.
After using 17/14 fluid ounces, Samantha has 4 - 17/14 = <<4-17/14=56/14-17/14>>56/14-17/14=39/14>>39 fluid ounces of toothpaste left.
### Answer: 39

Expected answer: 39/14

Correct? Yes

🔗 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:

Reasoning: Maria gave each friend 12/6 = <<12/6=2>>2 candies.
Maria gave each friend 20/20 = <<20/20=1>>1 sticker.
### Answer: 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:

Reasoning: The total time of the first rainfall was 4/13 hours, and the total time of the second rainfall was 11/5 hours.
Total time = 4/13 + 11/5 = <<4/13 + 11/5=22/65>>22/65 hours.
### Answer: 22/65

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: Jane cut 10/12 = <<10/12=5/6>>5/6 yards of fabric from the blanket.
Then, she cut an additional 10/10 = <<10/10=1>>1 yard of fabric.
In total, Jane cut 5/6 + 1 = <<5/6+1=7/6>>7/6 yards of fabric from the blanket.
### Answer: 7/6

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:

Reasoning: The total amount of magic dust is 11/12 + 9/10 = <<11/12+9/10=11/12+9/10=11/12>>11/12 oz.
### Answer: 11/12

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:

Reasoning: There is 1 vowel and 1 consonant in the word.
Vowel score: 3/11 = <<3/11>>
Consonant score: 8/10 = <<8/10>>
Total score: 3/11 + 8/10 = <<(3/11)+(8/10)=24/110>>24/110
### Answer: 24

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:

Reasoning: The letter is 4/1 pages long. If you remove 14/9 pages from it, the new length is 4/1 - 14/9 = <<(4-14)/9>>-14/9 pages.
The letter is now 4/1 - 14/9 = <<(4-14)/9>>-14/9 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 a table, which is equivalent to 80/100 of the table.
Bob painted 5/20 of the remaining table, which is equivalent to 20/100 of the table.
Therefore, the total amount of the table painted in total is 80/100 + 20/100 = 100/100 = 1 table.
### Answer: 1

Expected answer: 21/20

Correct? No

🔗 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:

Reasoning: The relative brightness of Alpha and Bravo is 17/3 * 20/16 = <<(17/3)*(20/16)=17/16>>17/16.
Therefore, both Alpha and Bravo are 17/16 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:

Reasoning: There are 17/20 + 18/8 = <<17/20+18/8=35/40>>35/40 kg of apples in the store in total.
### Answer: 35/40

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:

Reasoning: The total distance traveled is 12/20 of a mile + 12/12 of a mile = 12/10 of a mile.
### Answer: 12/10 of a mile

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:

Reasoning: The shark swims 3/9 + 13/5 = <<(3/9)+(13/5)>>5/9 miles in the first hour and 13/5 miles in the second hour.
### Answer: 5/9

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:

Reasoning: The drummer hits the two beats together when the second beat starts, which is 2/12 seconds after the first beat.
### Answer: 2/12

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:

Reasoning: The total cord of wood burned in a day is 12/17 + 8/19 = <<12/17+8/19=20/65>>20/65 cord of wood.
### Answer: 20/65

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:

Reasoning: The total length of the flight was 18/19 + 9/17 = <<(18/19)+(9/17)>>17/19.
### Answer: 17/19

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:

Reasoning: We can find the total distance by adding the distances between the first two cities and the second and third cities. 13/10 + 14/15 = <<13/10+14/15=26/60>>26/60.
Therefore, the total distance Jenna measured between the three cities on the map is 26/60 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:

Reasoning: The balloon's speed increases by 3/16 feet per second, so its new speed is 13/6 + 3/16 = <<13/6+3/16=16/6>>16/6 feet per second.
### Answer: 16/6

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:

Reasoning: 16/10 - 1/20 = <<16/10-1/20=0.8>>0.8 gallons of red paint will be left.
### Answer: 0.8

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 ate 2/5 * 12 = <<2/5 * 12=4>>4 chocolate bars.
There are 12 - 4 = <<12-4=8>>8 chocolate bars left in the box.
### Answer: 8

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:

Reasoning: After descending 10/15 of a mile, the plane is at 2 - (10/15) = <<2-10/15=16/15>>16/15 miles above the ground.
The new altitude of the plane is 16/15 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:

Reasoning: The total length of the slides is 6/19 + 17/4 = <<(6/19)+(17/4)>> meters.
### Answer: 27/19

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:

Reasoning: In the early morning, the rate is 4/15 cords per hour, so the fireplace burns 4/15 of the total amount in one hour.
In the late night, the rate is 14/15 cords per hour, so the fireplace burns 14/15 of the total amount in one hour.
Therefore, the fireplace burns 4/15 + 14/15 = 18/15 cords of firewood in one hour.
### Answer: 18/15

Expected answer: 6/5

Correct? Yes

🔗 Follow-up

Problem: If the colonial fireplace burns firewood at a combined rate of 4/15 cords per hour in the early morning and 14/15 cords per hour in the late night, and during the peak hours, it burns an additional 6/5 cords per hour. Then how much total firewood does the fireplace burn in one hour considering early morning, late night, and peak hours?

Gemma 2B:

Reasoning: The total rate is 4/15 + 14/15 + 6/5 = 22/15 cords per hour.
Therefore, the fireplace burns 22/15 cords of firewood in one hour.
### Answer: 22/15

Expected answer: 12/5

Correct? No

🔗 Follow-up

Problem: Continuing from the previous scenario, let's suppose the colonial fireplace in the early morning burns firewood at a slightly different rate of 8/15 cords per hour instead of 4/15 cords per hour. The late night burning rate remains the same at 14/15 cords per hour. Given these new circumstances, how much firewood does the fireplace burn in total in one hour split between the early morning and late night?

Gemma 2B:

Reasoning: In the early morning, the rate is 8/15 cords per hour, so the fireplace burns 8/15 of the total amount in one hour.
In the late night, the rate is 14/15 cords per hour, so the fireplace burns 14/15 of the total amount in one hour.
Therefore, the fireplace burns 8/15 + 14/15 = 22/15 cords of firewood in one hour.
### Answer: 22/15

Expected answer: 22/15

Correct? Yes

🔗 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:

Reasoning: The alien travelled 9/20 of a light year, which is equivalent to 45/80 of a light year.
After that, it moved forward another 11/7 light years.
The total distance travelled by the alien is 45/80 + 11/7 = 33/40 of a light year.
### Answer: 33/40

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:

Reasoning: Bob has 10/2 of a cucumber, which is equal to 5 cucumbers. He adds 1/7 of another cucumber, which is equal to 1/7 cucumber. Adding 5 and 1/7 gives us 5.7142... cucumbers in total.
### Answer: 5.7142...

Expected answer: 36/7

Correct? No