Qwen2-Math 7B 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: 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?
Qwen2-Math 7B:
Reasoning: Kyle threw the ball for a distance of 18/4 = <<18/4=4.5>>4.5 yards. Lisa threw the ball for a distance of 19/9 = <<19/9=2.111111111111111>>2.111111111111111 yards. The ball traveled a total of 4.5+2.111111111111111 = <<4.5+2.111111111111111=6.611111111111111>>6.611111111111111 yards. ### Answer: 6.611111111111111
Expected answer: 119/18
Correct? Yes
Problem: After both Kyle and Lisa's throws, the ball bounced an additional 3/13 yards. Subtract this distance from the total distance the ball traveled when Kyle and Lisa threw it. What is the remaining distance?
Qwen2-Math 7B:
Reasoning: The ball traveled a total of 6.611111111111111 yards when Kyle and Lisa threw it. The ball bounced an additional 3/13 = <<3/13=0.23076923076923078>>0.23076923076923078 yards. The remaining distance is 6.611111111111111 - 0.23076923076923078 = <<6.611111111111111-0.23076923076923078=6.38034188034188>>6.38034188034188 yards. ### Answer: 6.38034188034188
Expected answer: 1493/234
Correct? No
Problem: In their game, suppose that Kyle actually threw the ball for a distance of 15/4 yards, while Lisa still threw the ball for 19/9 yards. How many yards did the ball travel in total now?
Qwen2-Math 7B:
Reasoning: Kyle threw the ball for a distance of 15/4 = <<15/4=3.75>>3.75 yards. Lisa threw the ball for a distance of 19/9 = <<19/9=2.111111111111111>>2.111111111111111 yards. The ball traveled a total of 3.75+2.111111111111111 = <<3.75+2.111111111111111=5.861111111111111>>5.861111111111111 yards. ### Answer: 5.861111111111111
Expected answer: 211/36
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Johnnie was given 18/7+12/14 = <<18/7+12/14=30/7>>30/7 bananas in total. ### Answer: 30/7
Expected answer: 24/7
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total distance of the bottom and top of the door from the floor and ceiling, respectively, is 4/19 + 9/10 = <<4/19+9/10=131/190>>131/190 inches. ### Answer: 131/190
Expected answer: 211/190
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Ralph has 17/3 - 15/11 = <<17/3-15/11=112/33>>112/33 liters of apple juice left unused. ### Answer: 112/33
Expected answer: 142/33
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Billy ultimately traveled 4-17/20 = <<4-17/20=63/20>>63/20 miles forward. ### Answer: 63/20
Expected answer: 63/20
Correct? Yes
Problem: Suppose instead of travelling 4 miles initially, Billy actually traveled 6 miles before rolling back 17/20 of a mile to avoid the pothole. With this change in initial distance, how many miles did Billy ultimately travel forward?
Qwen2-Math 7B:
Reasoning: Billy ultimately traveled 6-17/20 = <<6-17/20=103/20>>103/20 miles forward. ### Answer: 103/20
Expected answer: 103/20
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: On the first day, the rocket traveled 15/3 = <<15/3=5>>5 light years. On the second day, the rocket traveled an additional 2/7 light years. In total, the rocket has traveled 5 + 2/7 = <<5+2/7=37/7>>37/7 light years. ### Answer: 37/7
Expected answer: 37/7
Correct? Yes
Problem: In a change of earlier data, it was discovered that the rocket only traveled 15/3 light years on the first day. However, on the second day, it actually covered 18/7 light years instead of 2/7 light years. With this new information, how far has the rocket traveled in total?
Qwen2-Math 7B:
Reasoning: On the first day, the rocket traveled 15/3 = <<15/3=5>>5 light years. On the second day, the rocket traveled an additional 18/7 light years. In total, the rocket has traveled 5 + 18/7 = <<5+18/7=53/7>>53/7 light years. ### Answer: 53/7
Expected answer: 53/7
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Captain Silverbeard found 10/13 + 16/19 = <<10/13+16/19=26/39>>26/39 of the treasure map. ### Answer: 26/39
Expected answer: 398/247
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The hiker walked 9/6 = <<9/6=1.5>>1.5 miles North and 2/16 = <<2/16=0.125>>0.125 miles East. The hiker traveled 1.5 + 0.125 = <<1.5+0.125=1.625>>1.625 miles in total. ### Answer: 1.625
Expected answer: 13/8
Correct? Yes
Problem: In continuation to the previous question, after walking 9/6 miles North and 2/16 miles East, the hiker then decides to continue his journey and walks an additional 8/14 miles South. How many miles has the hiker now traveled in total?
Qwen2-Math 7B:
Reasoning: The hiker walked 8/14 = <<8/14=0.5714>>0.5714 miles South. The hiker traveled 1.625 + 0.5714 = <<1.625+0.5714=2.1964>>2.1964 miles in total. ### Answer: 2.1964
Expected answer: 123/56
Correct? No
Problem: In opinion to the previous case, imagine if the hiker had initially decided to walk 10/6 miles North instead of 9/6 miles, while keeping the distance walked East unchanged at 2/16 miles. How many miles would the hiker have then traveled in total?
Qwen2-Math 7B:
Reasoning: The hiker would have walked 10/6 = <<10/6=1.6666666666666667>>1.6666666666666667 miles North and 2/16 = <<2/16=0.125>>0.125 miles East. The hiker would have traveled 1.6666666666666667 + 0.125 = <<1.6666666666666667+0.125=1.7916666666666667>>1.7916666666666667 miles in total. ### Answer: 1.7916666666666667
Expected answer: 43/24
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Jessica has 16/9 - 4/13 = <<16/9-4/13=148/117>>148/117 cubic feet of sand left in her sandbox. ### Answer: 148/117
Expected answer: 172/117
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total length of the rope is 15/12 + 17/17 = <<15/12+17/17=15/12+1=15/12+12/12=27/12=9/4=2.25>>2.25 meters. ### Answer: 2.25
Expected answer: 9/4
Correct? Yes
Problem: Jacob now wants to double the total length of the rope he has. If Jacob starts with the rope that is ((15 / 12) + (17 / 17)) meters long, and then adds another piece of the same length to it, what will be the total length of the combined ropes?
Qwen2-Math 7B:
Reasoning: The total length of the rope is 2 * ((15 / 12) + (17 / 17)) = <<2*(15/12+17/17)=2*(15/12+1)=2*(15/12+12/12)=2*(27/12)=2*(9/4)=2*2.25=4.5>>4.5 meters. ### Answer: 4.5
Expected answer: 9/2
Correct? Yes
Problem: Now, suppose Jacob starts with a piece of rope that is 7/12 meters long instead of 15/12 meters. If he still adds the rope piece that is 17/17 meters long to it, what is the total length of the rope now?
Qwen2-Math 7B:
Reasoning: The total length of the rope is 7/12 + 17/17 = <<7/12+17/17=7/12+1=7/12+12/12=19/12=1.5833333333333333>>1.5833333333333333 meters. ### Answer: 1.5833333333333333
Expected answer: 19/12
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Mark has 1+13/4 = <<1+13/4=17/4>>17/4 pairs of pants. ### Answer: 17/4
Expected answer: 17/4
Correct? Yes
Problem: Mark already had 1 full pair of pants and another 13/4 pairs from various incomplete sets. If he goes shopping and buys an additional 13/3 pairs of pants, how many pairs of pants does he have in total now?
Qwen2-Math 7B:
Reasoning: Mark has 1+13/4+13/3 = <<1+13/4+13/3=101/12>>101/12 pairs of pants. ### Answer: 101/12
Expected answer: 103/12
Correct? No
Problem: Instead of starting with 1 full pair of pants and another 13/4 pairs, let's say Mark originally had 1 full pair of pants and 9/4 pairs from various incomplete sets. How many pairs of pants would he then have in total?
Qwen2-Math 7B:
Reasoning: Mark has 1+9/4 = <<1+9/4=13/4>>13/4 pairs of pants. ### Answer: 13/4
Expected answer: 13/4
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Miss Jenny spent 8/8 + 20/19 = <<8/8+20/19=1+20/19=39/19>>39/19 hours grading papers in total. ### Answer: 39/19
Expected answer: 39/19
Correct? Yes
Problem: After grading papers, Miss Jenny spends an additional 1/12 hours organizing her lesson plans. How long did she spend in total between grading papers and organizing her lesson plans?
Qwen2-Math 7B:
Reasoning: Miss Jenny spent 39/19 + 1/12 = <<39/19+1/12=468/228+19/228=487/228>>487/228 hours in total between grading papers and organizing her lesson plans. ### Answer: 487/228
Expected answer: 487/228
Correct? Yes
Problem: Suppose instead of spending 20/19 hours on the second subject, Miss Jenny had actually spent 20/13 hours. How long did she spend grading papers in total then?
Qwen2-Math 7B:
Reasoning: Miss Jenny spent 8/8 + 20/13 = <<8/8+20/13=1+20/13=33/13>>33/13 hours grading papers in total. ### Answer: 33/13
Expected answer: 33/13
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The cloud ascended by 15/12 = <<15/12=1.25>>1.25 kms. The resultant height of the cloud from the ground is 12/3 + 1.25 = <<12/3+1.25=5.25>>5.25 kms. ### Answer: 5.25
Expected answer: 21/4
Correct? Yes
Problem: Let's now consider this scenario: the cloud was initially at a height of 12/3 kms, then later it ascended by 7/12 kms instead of the previous 15/12 kms. What would be the resultant height of the cloud from the ground in this case?
Qwen2-Math 7B:
Reasoning: The cloud ascended by 7/12 = <<7/12=0.5833>>0.5833 kms. The resultant height of the cloud from the ground is 12/3 + 0.5833 = <<12/3+0.5833=4.5833>>4.5833 kms. ### Answer: 4.5833
Expected answer: 55/12
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Jack rides his scooter 3/9 + 17/15 = <<3/9+17/15=11/15>>11/15 miles in total. ### Answer: 11/15
Expected answer: 22/15
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total burn time for the logs is 4 * 1/16 = <<4*1/16=1/4>>1/4 of an hour. The total burn time for the twigs is 16 * 1/12 = <<16*1/12=4/3>>4/3 of an hour. The total burn time for the logs and twigs is 1/4 + 4/3 = <<1/4+4/3=19/12>>19/12 of an hour. ### Answer: 19/12
Expected answer: 19/12
Correct? Yes
Problem: After the logs and twigs burn out, Tom adds 8 pieces of charcoal, each of which burns for 1/5 of an hour. What is the total burn time for the logs, twigs, and charcoal?
Qwen2-Math 7B:
Reasoning: The total burn time for the charcoal is 8 * 1/5 = <<8*1/5=8/5>>8/5 of an hour. The total burn time for the logs, twigs, and charcoal is 19/12 + 8/5 = <<19/12+8/5=133/60>>133/60 of an hour. ### Answer: 133/60
Expected answer: 191/60
Correct? No
Problem: In the original scenario, consider that there were actually 4 logs that each burn for 1/16 of an hour, but Tom only added 15 twigs that each burn for 1/12 of an hour instead. What would be the total burn time for the logs and twigs in this situation?
Qwen2-Math 7B:
Reasoning: The total burn time for the logs is 4 * 1/16 = <<4*1/16=1/4>>1/4 of an hour. The total burn time for the twigs is 15 * 1/12 = <<15*1/12=5/4>>5/4 of an hour. The total burn time for the logs and twigs is 1/4 + 5/4 = <<1/4+5/4=3/2>>3/2 of an hour. ### Answer: 3/2
Expected answer: 3/2
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The ring maker used 12/16 + 16/2 = <<12/16+16/2=12/16+8/1=12/16+128/16=140/16=8.75>>8.75 ounces of silver in total. ### Answer: 8.75
Expected answer: 35/4
Correct? Yes
Problem: The ring maker decides to add an ornamental filigree to the ring, which requires an additional 18/20 ounces of silver. How many total ounces of silver did the ring maker use including the filigree?
Qwen2-Math 7B:
Reasoning: The ring maker used 8.75 + 18/20 = <<8.75+18/20=8.75+0.9=9.65>>9.65 ounces of silver in total. ### Answer: 9.65
Expected answer: 193/20
Correct? Yes
Problem: If initially, the ring maker used 10/16 ounces of a silver for the base of the ring instead of 12/16 ounces, while still using 16/2 ounces to make the rest of the ring, how many total ounces of silver did the ring maker use then?
Qwen2-Math 7B:
Reasoning: The ring maker used 10/16 + 16/2 = <<10/16+16/2=10/16+8/1=10/16+128/16=138/16=8.625>>8.625 ounces of silver in total. ### Answer: 8.625
Expected answer: 69/8
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The tree produced 10/11+17/11 = <<10/11+17/11=27/11>>27/11 bushels of apples in total. ### Answer: 27/11
Expected answer: 27/11
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The tree produced 10/9+17/11 = <<10/9+17/11=203/99>>203/99 bushels of apples in total. ### Answer: 203/99
Expected answer: 263/99
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Sam's binoculars increase his range by 3/14 of a mile, and Joe's binoculars increase his range by 16/16 of a mile. Their combined range increase is 3/14 + 16/16 = <<3/14+16/16=19/14>>19/14 miles. ### Answer: 19/14
Expected answer: 17/14
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Maria uses 15/10 + 9/18 = <<15/10+9/18=27/18>>27/18 yards of fabric for the two sections. Maria uses 27/18 = <<27/18=1.5>>1.5 yards of fabric for the two sections. ### Answer: 1.5
Expected answer: 2
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The turtle walked 10/5 - 5/16 = <<10/5-5/16=15/16>>15/16 miles forward. The turtle has actually covered 15/16 miles from its starting point. ### Answer: 15/16
Expected answer: 27/16
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The painter used 18/11 + 1/8 = <<18/11+1/8=1.6363636363636363>>1.6363636363636363 liters of paint in total. ### Answer: 1.6363636363636363
Expected answer: 155/88
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The computer program executed 8/4 = <<8/4=2>>2 tasks per minute in the first 4 minutes. The computer program executed 20/14 = <<20/14=1.4285714285714286>>1.4285714285714286 tasks per minute in the next 14 minutes. The total number of tasks executed per minute is (8+20)/(4+14) = <<(8+20)/(4+14)=1.6>>1.6. ### Answer: 1.6
Expected answer: 24/7
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total amount of gold is 12/13 + 3/2 = <<12/13+3/2=103/26>>103/26 pounds. ### Answer: 103/26
Expected answer: 63/26
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The first part of the message is 4/4 = <<4/4=1>>1 hour long, and the second part is 11/1 = <<11/1=11>>11 hours long. The total length of the message is 1+11 = <<1+11=12>>12 hours. ### Answer: 12
Expected answer: 12
Correct? Yes
Problem: After watching the original message, Zorg receives an additional part of the message from earth that is 7/8 hours long. What is the total length of all parts of the message that Zorg received?
Qwen2-Math 7B:
Reasoning: The total length of the original message is 12 hours, and the additional part is 7/8 = <<7/8=0.875>>0.875 hours long. The total length of all parts of the message is 12+0.875 = <<12+0.875=12.875>>12.875 hours. ### Answer: 12.875
Expected answer: 103/8
Correct? Yes
Problem: Upon reviewing the original video message, Zorg realised that the first part of the video message was actually half as long at 4/8 hours instead of 4/4. The second part of the message still remains 11/1 hour long. What is the total length of the message that Zorg has corrected?
Qwen2-Math 7B:
Reasoning: The first part of the message is now 4/8 = <<4/8=0.5>>0.5 hours long, and the second part is 11/1 = <<11/1=11>>11 hours long. The total length of the message is 0.5+11 = <<0.5+11=11.5>>11.5 hours. ### Answer: 11.5
Expected answer: 23/2
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Each pond has 10 / 5 = <<10/5=2>>2 ducks, and each pool has 8 / 10 = <<8/10=0.8>>0.8 fish. Since we can't have a fraction of an animal, we'll consider the fish in each pool as 1 fish for simplicity. Therefore, each pond and pool combined has 2 + 1 = <<2+1=3>>3 animals. ### Answer: 3
Expected answer: 14/5
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total distance between Town A and Town C is 15/11 + 16/15 = <<15/11+16/15=1.4545454545454546>>1.4545454545454546 inches. ### Answer: 1.4545454545454546
Expected answer: 401/165
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The company produces 13/18 + 4/6 = <<13/18+4/6=13/18+12/18=25/18>>25/18 tons of soap in total each day. ### Answer: 25/18
Expected answer: 25/18
Correct? Yes
Problem: The soap company plans to double their daily production. After producing 13/18 tons of Soap A and 4/6 tons of Soap B each day, how many tons of soap will they produce in total when they double their production?
Qwen2-Math 7B:
Reasoning: The company will produce 2 * (13/18 + 4/6) = <<2*(13/18+4/6)=2*(13/18+12/18)=2*25/18=50/18>>50/18 tons of soap in total each day when they double their production. ### Answer: 50/18
Expected answer: 25/9
Correct? Yes
Problem: The soap company decided to increase the production of Soap A to 17/18 tons a day while maintaining the production of Soap B at 4/6 tons a day. How many tons of soap do they produce in total each day after this change?
Qwen2-Math 7B:
Reasoning: The company now produces 17/18 + 4/6 = <<17/18+4/6=17/18+12/18=29/18>>29/18 tons of soap in total each day. ### Answer: 29/18
Expected answer: 29/18
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Mark's sleeping bag is now 19/2 - 13/12 = <<19/2-13/12=101/12>>101/12 feet long. ### Answer: 101/12
Expected answer: 101/12
Correct? Yes
Problem: After tailoring, Mark finds the sleeping bag is still too long for his comfort. He decides to cut off another 13/14 feet from his sleeping bag. What is the length of his sleeping bag now?
Qwen2-Math 7B:
Reasoning: Mark's sleeping bag is now 101/12 - 13/14 = <<101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=101/12-13/14=
Expected answer: 629/84
Correct? No
Problem: Originally, Mark bought a sleeping bag that was 8/2 feet long instead of 19/2 feet. He still cuts off 13/12 feet from it to fit his height. How long is his sleeping bag now?
Qwen2-Math 7B:
Reasoning: Mark's sleeping bag is now 8/2 - 13/12 = <<8/2-13/12=11/12>>11/12 feet long. ### Answer: 11/12
Expected answer: 35/12
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Mary gave 6/20 = <<6/20=0.3>>0.3 pounds of food to the monkeys and 18/15 = <<18/15=1.2>>1.2 pounds of food to the giraffes. Mary gave 0.3+1.2 = <<0.3+1.2=1.5>>1.5 pounds of food in total to the monkeys and giraffes. ### Answer: 1.5
Expected answer: 3/2
Correct? Yes
Problem: After feeding the monkeys and giraffes, Mary then feeds the elephants 19/11 pounds of food. How many pounds of food in total has she given to the monkeys, giraffes, and elephants at the zoo?
Qwen2-Math 7B:
Reasoning: Mary gave 0.3+1.2+19/11 = <<0.3+1.2+19/11=2.727272727272727>>2.727272727272727 pounds of food in total to the monkeys, giraffes, and elephants at the zoo. ### Answer: 2.727272727272727
Expected answer: 71/22
Correct? No
Problem: Originally, Mary had given the monkeys 6/20 pounds of food and the giraffes 18/15 pounds of food. But what if she had made a mistake, and she actually gave the giraffes 18/19 pounds of food instead? How many pounds of food in total did she then give to the monkeys and giraffes?
Qwen2-Math 7B:
Reasoning: Mary gave 6/20 = <<6/20=0.3>>0.3 pounds of food to the monkeys and 18/19 = <<18/19=0.9473684210526315>>0.9473684210526315 pounds of food to the giraffes. Mary gave 0.3+0.9473684210526315 = <<0.3+0.9473684210526315=1.2473684210526315>>1.2473684210526315 pounds of food in total to the monkeys and giraffes. ### Answer: 1.2473684210526315
Expected answer: 237/190
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Albert has 20/17 + 4/1 = <<20/17+4/1=20/17+68/17=88/17>>88/17 full sets of cards. ### Answer: 88/17
Expected answer: 88/17
Correct? Yes
Problem: Instead of collecting a full set of 4/1 cards, what if Albert had only managed to find 4/11 of a full set? Adding this to his initial 20/17 full sets, how many full sets of cards does he have now?
Qwen2-Math 7B:
Reasoning: Albert has 20/17 + 4/11 = <<20/17+4/11=220/187+76/187=296/187>>296/187 full sets of cards. ### Answer: 296/187
Expected answer: 288/187
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The jeweler has 5/14 + 18/19 = <<5/14+18/19=253/266>>253/266 pounds of silver. ### Answer: 253/266
Expected answer: 347/266
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The turtle moves 11 meters northward and then moves back 15/15 = <<15/15=1>>1 meter towards the starting point. The turtle is 11-1 = <<11-1=10>>10 meters from its starting point after these two movements. ### Answer: 10
Expected answer: 10
Correct? Yes
Problem: Continuing from the prior situation, the turtle then decided to move further, walking an additional 15/20 of a meter towards the same direction. How many meters is the turtle from its original starting point now?
Qwen2-Math 7B:
Reasoning: The turtle moves 10 meters from the starting point and then moves an additional 15/20 = <<15/20=0.75>>0.75 meters towards the same direction. The turtle is 10+0.75 = <<10+0.75=10.75>>10.75 meters from its original starting point now. ### Answer: 10.75
Expected answer: 43/4
Correct? Yes
Problem: Reconsider the previous scenario, but this time the turtle returns 15/8 of a meter back towards the starting point instead of the former 15/15 meters. Now, how many meters is the turtle from its starting point after these two movements?
Qwen2-Math 7B:
Reasoning: The turtle moves 11 meters northward and then moves back 15/8 = <<15/8=1.875>>1.875 meters towards the starting point. The turtle is 11-1.875 = <<11-1.875=9.125>>9.125 meters from its starting point after these two movements. ### Answer: 9.125
Expected answer: 73/8
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Chloe has 19/2 - 17/2 = <<19/2-17/2=1>>1 ounce of chocolate left. ### Answer: 1
Expected answer: 1
Correct? Yes
Problem: After Chloe eats a piece of the chocolate bar, she decides to add a piece from another chocolate bar. The piece from the other bar weighs 4/14 ounces. How many ounces of chocolate does Chloe have now?
Qwen2-Math 7B:
Reasoning: Chloe now has 1 + 4/14 = <<1+4/14=18/14>>18/14 ounces of chocolate. ### Answer: 18/14
Expected answer: 9/7
Correct? Yes
Problem: Originally, Chloe had a chocolate bar that was 19/2 ounces. What if instead, at the beginning she had eaten a piece that was 9/2 ounces? How many ounces of chocolate would she have had left then?
Qwen2-Math 7B:
Reasoning: Chloe would have had 19/2 - 9/2 = <<19/2-9/2=10>>10 ounces of chocolate left. ### Answer: 10
Expected answer: 5
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total capacity of Sammy's backpack will be 20/9 + 8/4 = <<20/9+8/4=104/36>>104/36 liters. ### Answer: 104/36
Expected answer: 38/9
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Captain Hook has 11/8+5/5 = <<11/8+5/5=11/8+1=19/8>>19/8 ounces of gold. ### Answer: 19/8
Expected answer: 19/8
Correct? Yes
Problem: After counting his newly found gold, Captain Hook discovers an additional 7/11 ounces of gold hidden in a small pouch he had forgotten about. What is the total weight of all the gold Captain Hook now has?
Qwen2-Math 7B:
Reasoning: Captain Hook has 19/8+7/11 = <<19/8+7/11=209/88+56/88=265/88>>265/88 ounces of gold. ### Answer: 265/88
Expected answer: 265/88
Correct? Yes
Problem: In the previous treasure hunt, Captain Hook had originally found 11/8 ounces of gold. But let's say, instead of finding 5/5 ounces of gold as he did in his latest treasure hunt, he discovered 7/5 ounces of gold. How much total weight of gold would Captain Hook have had then?
Qwen2-Math 7B:
Reasoning: Captain Hook would have found 11/8+7/5 = <<11/8+7/5=55/40+56/40=111/40>>111/40 ounces of gold. ### Answer: 111/40
Expected answer: 111/40
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Jake received 20/15 = <<20/15=1.3333333333333333>>1.3333333333333333 dollars. Jake now has 9/10 + 1.3333333333333333 = <<9/10+1.3333333333333333=2.2333333333333335>>2.2333333333333335 dollars. ### Answer: 2.2333333333333335
Expected answer: 67/30
Correct? Yes
Problem: Following up on the previous problem, if Jake found an additional 11/5 of a dollar on the street, how much money does he have in his wallet now?
Qwen2-Math 7B:
Reasoning: Jake found 11/5 = <<11/5=2.2>>2.2 dollars. Jake now has 2.2333333333333335 + 2.2 = <<2.2333333333333335+2.2=4.4333333333333335>>4.4333333333333335 dollars. ### Answer: 4.4333333333333335
Expected answer: 133/30
Correct? Yes
Problem: Following up on the original scenario, if Jake initially had 9/8 of a dollar instead of 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?
Qwen2-Math 7B:
Reasoning: Jake received 20/15 = <<20/15=1.3333333333333333>>1.3333333333333333 dollars. Jake now has 9/8 + 1.3333333333333333 = <<9/8+1.3333333333333333=2.5>>2.5 dollars. ### Answer: 2.5
Expected answer: 59/24
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The combined height of the front and back portions of the chair is 5/2 + 20/14 = <<5/2+20/14=35/14>>35/14 feet. ### Answer: 35/14
Expected answer: 55/14
Correct? No
Problem: John has 5 shirts and he donated 12/9 of them to charity. How many shirts does he have left?
Qwen2-Math 7B:
Reasoning: John donated 12/9 = <<12/9=1.3333333333333333>>1.3333333333333333 shirts, which is not possible since he cannot donate a fraction of a shirt. Therefore, John donated 12 shirts, which is more than he had. This is not possible, so the question is invalid. ### Answer: Invalid question
Expected answer: 11/3
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The length of Bob's jacket after the alteration is 14/3 - 14/16 = <<14/3-14/16=14/3-7/8=112/24-21/24=91/24=3.7916666666666665>>3.7916666666666665 meters. ### Answer: 3.7916666666666665
Expected answer: 91/24
Correct? Yes
Problem: Following the alteration, Bob decides to cut off an additional 9/4 meters. After yet another alteration, what is the remaining length of Bob's jacket now?
Qwen2-Math 7B:
Reasoning: The remaining length of Bob's jacket after the second alteration is 3.7916666666666665 - 9/4 = <<3.7916666666666665-9/4=3.7916666666666665-2.25=1.5416666666666665>>1.5416666666666665 meters. ### Answer: 1.5416666666666665
Expected answer: 37/24
Correct? No
Problem: Initially, Bob's jacket was 16/3 meters in length instead of 14/3 meters. If he still cuts off 14/16 meter from this new original length, then what would be the length of Bob's jacket after the alteration now?
Qwen2-Math 7B:
Reasoning: The length of Bob's jacket after the alteration is 16/3 - 14/16 = <<16/3-14/16=16/3-7/8=128/24-21/24=107/24=4.458333333333333>>4.458333333333333 meters. ### Answer: 4.458333333333333
Expected answer: 107/24
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Officer Max spends 2/6 + 14/7 = <<2/6+14/7=10/7>>10/7 parts of an hour for these two tasks. ### Answer: 10/7
Expected answer: 7/3
Correct? No
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?
Qwen2-Math 7B:
Reasoning: John watched the movie for 10/12 = <<10/12=5/6>>5/6 hours and the TV show for 3/8 = <<3/8=3/8>>3/8 hours. To find the total time, we add the two fractions: 5/6 + 3/8 = <<5/6+3/8=29/24>>29/24 hours. ### Answer: 29/24 hours
Expected answer: 29/24
Correct? Yes
Problem: If John watched a movie for 10/12 of an hour and then watched a TV show for another 3/8 of an hour, and then repeated this same routine, what is the total time he spent watching in hours?
Qwen2-Math 7B:
Reasoning: John watched the movie for 10/12 = <<10/12=5/6>>5/6 hours and the TV show for 3/8 = <<3/8=3/8>>3/8 hours. To find the total time for one routine, we add the two fractions: 5/6 + 3/8 = <<5/6+3/8=29/24>>29/24 hours. Since John repeated this routine, we multiply the total time for one routine by 2: 29/24 * 2 = <<29/24*2=58/24>>58/24 hours. ### Answer: 58/24 hours
Expected answer: 29/12
Correct? Yes
Problem: If instead of watching the movie for 10/12 of an hour, John watched it for 10/7 of an hour, and he still watched the TV show for another 3/8 of an hour, what is the total time he spent watching in hours?
Qwen2-Math 7B:
Reasoning: John watched the movie for 10/7 = <<10/7=10/7>>10/7 hours and the TV show for 3/8 = <<3/8=3/8>>3/8 hours. To find the total time, we add the two fractions: 10/7 + 3/8 = <<10/7+3/8=101/56>>101/56 hours. ### Answer: 101/56 hours
Expected answer: 101/56
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Mr. Carpenter takes 5/3 + 10/13 = <<5/3+10/13=65/39>>65/39 hours to build a chair from start to finish. ### Answer: 65/39
Expected answer: 95/39
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The small bead has a diameter of 8/4 = <<8/4=2>>2 mm. The large bead has a diameter of 15/2 = <<15/2=7.5>>7.5 mm. The total added diameter is 2+7.5 = <<2+7.5=9.5>>9.5 mm. ### Answer: 9.5
Expected answer: 19/2
Correct? Yes
Problem: Suppose instead of the large bead of 15/2 mm diameter, Anna adds a different large bead to her bracelet that is 5/2 mm in diameter. Now, what would be the total added diameter if she adds this new large bead and the small bead to her bracelet?
Qwen2-Math 7B:
Reasoning: The small bead has a diameter of 8/4 = <<8/4=2>>2 mm. The new large bead has a diameter of 5/2 = <<5/2=2.5>>2.5 mm. The total added diameter is 2+2.5 = <<2+2.5=4.5>>4.5 mm. ### Answer: 4.5
Expected answer: 9/2
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The rocket travels 11/18 + 8/2 = <<11/18+8/2=11/18+72/18=83/18>>83/18 light-years in total. ### Answer: 83/18
Expected answer: 83/18
Correct? Yes
Problem: Let's reconsider our previous journey of the rocket. Assume that instead of traveling 8/2 light-years towards a distant star after reaching the alien planet, the rocket only traveled 8/13 light-years. In this case, what would be the total distance covered by the rocket?
Qwen2-Math 7B:
Reasoning: The rocket travels 11/18 + 8/13 = <<11/18+8/13=143/234+144/234=287/234>>287/234 light-years in total. ### Answer: 287/234
Expected answer: 287/234
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Johnathan needs 12/14 + 8/5 = <<12/14+8/5=104/35>>104/35 yards of fabric in total. ### Answer: 104/35
Expected answer: 86/35
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total acreage of pine and oak trees is 5/4 + 1/2 = <<5/4+1/2=7/4>>7/4 acres. ### Answer: 7/4
Expected answer: 7/4
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The new total acreage of pine and oak trees is 5/3 + 1/2 = <<5/3+1/2=13/6>>13/6 acres. ### Answer: 13/6
Expected answer: 13/6
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Jake has 12/7 + 2/14 = <<12/7+2/14=24/14+2/14=26/14>>26/14 yards of fabric. Jake has 26/14 = <<26/14=13/7>>13/7 yards of fabric to make his shirt. ### Answer: 13/7
Expected answer: 13/7
Correct? Yes
Problem: After making his shirt, Jake realizes he needs to remove 4/16 of a yard of fabric for the shirt to fit perfectly. How much fabric will he have left after making this adjustment?
Qwen2-Math 7B:
Reasoning: Jake has 13/7 - 4/16 = <<13/7-4/16=26/14-4/16=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-7/28=26/14-1/4=26/14-
Expected answer: 45/28
Correct? No
Problem: Let's say Jake originally had less fabric, only 12/6 yards instead of 12/7 yards. He still finds an additional piece of fabric that measures 2/14 of a yard. If he combines both these pieces now, then how much fabric does he have altogether for his shirt?
Qwen2-Math 7B:
Reasoning: Jake has 12/6 + 2/14 = <<12/6+2/14=24/12+2/14=26/14>>26/14 yards of fabric. Jake has 26/14 = <<26/14=13/7>>13/7 yards of fabric to make his shirt. ### Answer: 13/7
Expected answer: 15/7
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The difference in kilograms of the fruit from summer to winter is 10/4 - 12/20 = <<10/4-12/20=10/10=1>>1 kg. ### Answer: 1
Expected answer: 19/10
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The ballerina's routine is now 13/5 - 15/16 = <<13/5-15/16=103/80>>103/80 minutes long. ### Answer: 103/80
Expected answer: 133/80
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Miss Daisy has 19/6 - 17/20 = <<19/6-17/20=113/60>>113/60 kg of fertilizers left to use on her other flowers. ### Answer: 113/60
Expected answer: 139/60
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total change in distance this year is 4/16 + 20/6 = <<4/16+20/6=104/48>>104/48 meters. ### Answer: 104/48 meters
Expected answer: 43/12
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Bob has 11/3 + 12/19 = <<11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11/3+12/19=11
Expected answer: 245/57
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The shark swam 5/5 + 12/18 = <<5/5+12/18=1+2/3=5/3>>5/3 miles in total that day. ### Answer: 5/3
Expected answer: 5/3
Correct? Yes
Problem: Following the previous problem, if the shark decides to swim an additional 18/9 miles in the evening, what is the total distance the shark would have swam by the end of the day?
Qwen2-Math 7B:
Reasoning: The shark swam 5/3 + 18/9 = <<5/3+18/9=5/3+2=11/3>>11/3 miles in total by the end of the day. ### Answer: 11/3
Expected answer: 11/3
Correct? Yes
Problem: Continuing from the last problem, suppose the shark had only swam 5/12 miles in the morning instead of 5/5 miles, but still swam the additional 12/18 miles in the afternoon. How many miles would the shark have swam in the morning and afternoon combined?
Qwen2-Math 7B:
Reasoning: The shark swam 5/12 + 12/18 = <<5/12+12/18=5/12+2/3=11/12>>11/12 miles in the morning and afternoon combined. ### Answer: 11/12
Expected answer: 13/12
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Jim types 20/16 = <<20/16=1.25>>1.25 words per second. 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: After typing together, Jim and Mary decide to slow down their pace and reduce their combined typing speed by 2 words every 11 seconds. What becomes their new combined typing speed?
Qwen2-Math 7B:
Reasoning: Jim and Mary's new combined typing speed is 3.5-2 = <<3.5-2=1.5>>1.5 words per second. ### Answer: 1.5
Expected answer: 73/22
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Max rode his scooter for 9/7 - 1/9 = <<9/7-1/9=80/63>>80/63 miles in the afternoon. ### Answer: 80/63
Expected answer: 74/63
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The clown rode a unicycle for 9/8 = <<9/8=1.125>>1.125 hours. She juggled for 2/10 = <<2/10=0.2>>0.2 hours. In total, she performed for 1.125+0.2 = <<1.125+0.2=1.325>>1.325 hours. ### Answer: 1.325
Expected answer: 53/40
Correct? Yes
Problem: Following her performances, the clown took a total break of 13/5 hours. How many hours remained after her performance time is subtracted from her total break time?
Qwen2-Math 7B:
Reasoning: The clown took a total break of 13/5 = <<13/5=2.6>>2.6 hours. After subtracting her performance time of 1.325 hours, the remaining time is 2.6-1.325 = <<2.6-1.325=1.275>>1.275 hours. ### Answer: 1.275
Expected answer: 51/40
Correct? Yes
Problem: In the previous problem, the clown juggled for 2/10 hours. Now suppose that she actually juggled for 9/10 hours instead. In this scenario, how many hours in total did she perform, if she still rode the unicycle for 9/8 hours?
Qwen2-Math 7B:
Reasoning: The clown rode a unicycle for 9/8 = <<9/8=1.125>>1.125 hours. She juggled for 9/10 = <<9/10=0.9>>0.9 hours. In total, she performed for 1.125+0.9 = <<1.125+0.9=2.025>>2.025 hours. ### Answer: 2.025
Expected answer: 81/40
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Timmy has 7/2 + 1/2 = <<7/2+1/2=4>>4 kg of sand in his sandbox. ### Answer: 4
Expected answer: 4
Correct? Yes
Problem: Following the last scenario, if Timmy later dumps another 16/3 kg of sand into the sandbox, how much sand does the sandbox contain now?
Qwen2-Math 7B:
Reasoning: Timmy has 4 + 16/3 = <<4+16/3=28/3>>28/3 kg of sand in his sandbox. ### Answer: 28/3
Expected answer: 28/3
Correct? Yes
Problem: In the previous sandbox problem, if Timmy initially dumped 7/2 kg of sand into his sandbox but this time around, he decided to add only 1/20 kg of sand to it instead, how much sand is now in his sandbox?
Qwen2-Math 7B:
Reasoning: Timmy has 7/2 + 1/20 = <<7/2+1/20=35/10+1/20=71/20>>71/20 kg of sand in his sandbox. ### Answer: 71/20
Expected answer: 71/20
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The wizard used 18/8 + 11/7 = <<18/8+11/7=2.25+1.57=3.82>>3.82 ounces of ingredients in total to prepare the potion. ### Answer: 3.82
Expected answer: 107/28
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The UFO traveled 3/10 + 16/20 = <<3/10+16/20=19/20>>19/20 miles in total. ### Answer: 19/20
Expected answer: 11/10
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The first machine makes 4/14 = <<4/14=2/7>>2/7 chairs per hour. The second machine makes 20/4 = <<20/4=5>>5 chairs per hour. Both machines make 2/7 + 5 = <<2/7+5=37/7>>37/7 chairs in one hour. ### Answer: 37/7
Expected answer: 37/7
Correct? Yes
Problem: In the chair manufacturing firm discussed before, let's say the first machine was originally making 17/14 of a chair every hour instead of 4/14. How many chairs are now made by both machines in one hour?
Qwen2-Math 7B:
Reasoning: The first machine now makes 17/14 = <<17/14=17/14>>17/14 chairs per hour. The second machine still makes 20/4 = <<20/4=5>>5 chairs per hour. Both machines now make 17/14 + 5 = <<17/14+5=87/14>>87/14 chairs in one hour. ### Answer: 87/14
Expected answer: 87/14
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The blue shark swam for 2/4 miles, which is equivalent to 1/2 miles. The hammerhead shark swam for 7/10 miles. Together, they swam 1/2 + 7/10 = <<1/2+7/10=1.2>>1.2 miles. ### Answer: 1.2
Expected answer: 6/5
Correct? Yes
Problem: After the blue shark and the hammerhead shark swam their respective distances, a great white shark joined them and swam 9/14 miles. What is the total combined distance that the three sharks swam together?
Qwen2-Math 7B:
Reasoning: The blue shark swam for 1/2 miles, the hammerhead shark swam for 7/10 miles, and the great white shark swam for 9/14 miles. To find the total distance, we add the distances together: 1/2 + 7/10 + 9/14 = <<1/2+7/10+9/14=1.9285714285714286>>1.9285714285714286 miles. ### Answer: 1.9285714285714286 miles
Expected answer: 129/70
Correct? No
Problem: In the previous situation, let's imagine that the blue shark actually swam for only 2/4 miles and the hammerhead shark swam for 7/11 miles. In this case, how many miles did the blue and hammerhead sharks swim in total?
Qwen2-Math 7B:
Reasoning: The blue shark swam for 2/4 miles, which is equivalent to 1/2 miles. The hammerhead shark swam for 7/11 miles. Together, they swam 1/2 + 7/11 = <<1/2+7/11=1.2727272727272727>>1.2727272727272727 miles. ### Answer: 1.2727272727272727
Expected answer: 25/22
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Lisa has 8/18 + 18/8 = <<8/18+18/8=1.5>>1.5 gallons of milk in total. ### Answer: 1.5
Expected answer: 97/36
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The tree has grown 1/10 of its height this month. The tree has grown 12/6 feet due to the fertilizer. The total growth of the tree this month is 1/10 + 12/6 = <<1/10+12/6=13/10>>13/10 feet. ### Answer: 13/10 feet
Expected answer: 21/10
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total area occupied by both tents is 13/11 + 8/20 = <<13/11+8/20=26/22+8/20=26/22+2/5=26/22+44/110=26/22+4/11=26/22+8/22=34/22=17/11>>17/11 acres. ### Answer: 17/11
Expected answer: 87/55
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total distance to the treasure is the sum of the distances to the East and to the North. The distance to the East is (17 / 20) km. The distance to the North is (15 / 3) km. The total distance is (17 / 20) + (15 / 3) = <<(17 / 20) + (15 / 3)=1.95>>1.95 km. ### Answer: 1.95
Expected answer: 117/20
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Sarah and Alex collected 11/20 + 9/7 = <<11/20+9/7=1.55>>1.55 pounds of firewood in total. ### Answer: 1.55
Expected answer: 257/140
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Captain Bill sailed 19/5 + 12/15 = <<19/5+12/15=45/15=3>>3 miles north in total. ### Answer: 3
Expected answer: 23/5
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total weight of the two types of meat per sandwich is 19/17 + 9/4 = <<19/17+9/4=1.5470588235294118>>1.5470588235294118 pounds. ### Answer: 1.5470588235294118
Expected answer: 229/68
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total length of the sleeping bag is 18/19 + 8/11 = <<18/19+8/11=266/209>>266/209 meters. ### Answer: 266/209
Expected answer: 350/209
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Sarah adds 10/13 + 8/2 = <<10/13+8/2=10/13+40/13=50/13>>50/13 gallons of water to the container. ### Answer: 50/13
Expected answer: 62/13
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Mandy has 9/2 - 1/4 = <<9/2-1/4=17/4>>17/4 KGs of apples left. ### Answer: 17/4
Expected answer: 17/4
Correct? Yes
Problem: Mandy has 9/2 KGs of apples. She uses 1/4 KG of them to make apple pie. Afterwards, she finds 3/19 more KGs of apples in her refrigerator. How many KGs of apples does she have total now?
Qwen2-Math 7B:
Reasoning: Mandy has 17/4 + 3/19 = <<17/4+3/19=341/76>>341/76 KGs of apples now. ### Answer: 341/76
Expected answer: 335/76
Correct? No
Problem: In the scenario where Mandy initially had 9/7 KGs of apples instead, and she still uses 1/4 KG of them for her apple pie, how many KGs of apples would she have left?
Qwen2-Math 7B:
Reasoning: Mandy has 9/7 - 1/4 = <<9/7-1/4=29/28>>29/28 KGs of apples left. ### Answer: 29/28
Expected answer: 29/28
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: John spent 12/7 + 3/9 = <<12/7+3/9=105/63>>105/63 hours working on the watch. ### Answer: 105/63
Expected answer: 43/21
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Peggy swam 5/4 - 1/12 = <<5/4-1/12=11/12>>11/12 miles before resting. Peggy is 11/12 miles from her family. ### Answer: 11/12
Expected answer: 7/6
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The farmer uses 4+11/12 = <<4+11/12=55/12>>55/12 acres in total to grow wheat. ### Answer: 55/12
Expected answer: 59/12
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The designer used 11/4 + 5/17 = <<11/4+5/17=197/68>>197/68 yards of fabric in total. ### Answer: 197/68
Expected answer: 207/68
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Jacob has 11/2 - 5/16 = <<11/2-5/16=16/16-5/16=11/16>>11/16 feet of guitar wire remaining. ### Answer: 11/16
Expected answer: 83/16
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Samantha has 4-17/14 = <<4-17/14=11/14>>11/14 fluid ounces of toothpaste left after that week. ### Answer: 11/14
Expected answer: 39/14
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Maria gives each of her 6 friends 12/6 = <<12/6=2>>2 candies. Maria gives each of her 20 friends 20/20 = <<20/20=1>>1 sticker. Each friend gets 2 candies and 1 sticker in total. ### Answer: 2 candies and 1 sticker
Expected answer: 3
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The first rainfall lasted for 4/13 hours, and the next rainfall lasted for 11/5 hours. To find the total rainfall time, we add the two times together: 4/13 + 11/5 = <<4/13+11/5=1.923076923076923>>1.923076923076923 hours. ### Answer: 1.923076923076923
Expected answer: 163/65
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Jane cuts 10/12 + 10/10 = <<10/12+10/10=1.8333333333333333>>1.8333333333333333 yards of fabric from the blanket in total. ### Answer: 1.8333333333333333
Expected answer: 11/6
Correct? Yes
Problem: After cutting 10/12 yards and 10/10 yard from the blanket, Jane decides to cut an additional 4/12 yard. Now, how many yards of fabric has she cut from the blanket in total?
Qwen2-Math 7B:
Reasoning: Jane cuts 10/12 + 10/10 + 4/12 = <<10/12+10/10+4/12=2.25>>2.25 yards of fabric from the blanket in total. ### Answer: 2.25
Expected answer: 13/6
Correct? No
Problem: Originally, Jane cut 10/12 yard and then 10/10 yard from the blanket. However, consider if Jane had cut 11/12 yard instead of 10/12 yard at first, and then again cut 10/10 yard. How many yards of fabric would she have cut from the blanket now in this case?
Qwen2-Math 7B:
Reasoning: Jane would have cut 11/12 + 10/10 = <<11/12+10/10=1.9166666666666667>>1.9166666666666667 yards of fabric from the blanket in this case. ### Answer: 1.9166666666666667
Expected answer: 23/12
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The fairy used 11/12 + 9/10 = <<11/12+9/10=109/60>>109/60 oz of magic dust in total. ### Answer: 109/60
Expected answer: 109/60
Correct? Yes
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. Then, she flies over to a nearby forest where she originally had 14/3 oz of magic dust. After using the dust over the field and apple trees, how much magic dust is left for the fairy now?
Qwen2-Math 7B:
Reasoning: The fairy used 11/12 + 9/10 = <<11/12+9/10=109/60>>109/60 oz of magic dust in total. The fairy originally had 14/3 oz of magic dust. After using the dust, the fairy has 14/3 - 109/60 = <<14/3-109/60=131/60>>131/60 oz of magic dust left. ### Answer: 131/60
Expected answer: 57/20
Correct? No
Problem: A fairy sprinkles 11/12 oz of magic dust over an enchanted field. She then planned to sprinkle an additional 9/10 oz of dust over a grove of enchanted apple trees, but she accidentally sprinkles more, as much as 16/10 oz. What is the total amount of magic dust the fairy used now?
Qwen2-Math 7B:
Reasoning: The fairy used 11/12 + 9/10 + 16/10 = <<11/12+9/10+16/10=139/60>>139/60 oz of magic dust in total. ### Answer: 139/60
Expected answer: 151/60
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The score for using 1 vowel is 3/11 of a point, and the score for using 1 consonant is 8/10 of a point. The total score is 3/11 + 8/10 = <<3/11+8/10=113/110>>113/110 points. ### Answer: 113/110
Expected answer: 59/55
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The letter is now 4/1 - 14/9 = <<4/1-14/9=10/9>>10/9 pages long. ### Answer: 10/9
Expected answer: 22/9
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Anne painted 16/20 of the table, and Bob painted 5/20 of the table. To find the total amount of the table painted, we add the fractions: 16/20 + 5/20 = <<16/20+5/20=21/20>>21/20. Since 21/20 is greater than 1, it means that more than the whole table has been painted. However, since we are looking for the total amount painted, we can simplify 21/20 to 1 and 1/20. ### Answer: 1 and 1/20
Expected answer: 21/20
Correct? Yes
Problem: After Anne and Bob painted parts of the table, Carl decided to add to their work by painting another 11/5 of the table. Now, how much of the table has been painted in total?
Qwen2-Math 7B:
Reasoning: Anne and Bob painted 1 and 1/20 of the table, and Carl painted 11/5 of the table. To find the total amount of the table painted, we add the fractions: 1 and 1/20 + 11/5 = <<1+1/20+11/5=11/5+1/20>>11/5+1/20. To add these fractions, we need a common denominator. The least common multiple of 5 and 20 is 20. So, we convert 11/5 to 44/20. Now, we can add the fractions: 44/20 + 1/20 = <<44/20+1/20=45/20>>45/20. Simplifying 45/20, we get 2 and 5/20, which can be further simplified to 2 and 1/4. ### Answer: 2 and 1/4
Expected answer: 13/4
Correct? No
Problem: Suppose before Carl added more paint, instead of Bob painting an additional 5/20 of the table, he could only manage to paint 5/14 of it. In this case, how much of the table has been painted by Anne and Bob together?
Qwen2-Math 7B:
Reasoning: Anne painted 16/20 of the table, and Bob painted 5/14 of the table. To find the total amount of the table painted, we add the fractions: 16/20 + 5/14 = <<16/20+5/14=119/140>>119/140. ### Answer: 119/140
Expected answer: 81/70
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The star Alpha shines 17/3 times brighter than an average star, and the star Bravo shines 20/16 times as bright. To find the total brightness of both stars compared to an average star, we add the relative brightness of the two stars: 17/3 + 20/16 = <<17/3+20/16=101/12>>101/12. Therefore, both stars are <<101/12=8.416666666666667>>8.416666666666667 times brighter than an average star. ### Answer: 8.416666666666667
Expected answer: 83/12
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total weight of apples in the store is 17/20 + 18/8 = <<17/20+18/8=1.45>>1.45 kg. ### Answer: 1.45
Expected answer: 31/10
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The bus traveled 12/20 + 12/12 = <<12/20+12/12=1.2>>1.2 miles in total. ### Answer: 1.2
Expected answer: 8/5
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The shark swims 3/9 + 13/5 = <<3/9+13/5=1.9444444444444444>>1.9444444444444444 miles in total in these two hours. ### Answer: 1.9444444444444444
Expected answer: 44/15
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The first beat takes 17/17 = <<17/17=1>>1 second, and the second beat takes 2/12 = <<2/12=1/6>>1/6 second. The two beats will hit together every 1 + 1/6 = <<1+1/6=7/6>>7/6 seconds. ### Answer: 7/6
Expected answer: 7/6
Correct? Yes
Problem: Instead of hitting the first note every 17/17 seconds, the drummer decides to change the beat and hit it every 16/17 seconds. They're still hitting the second note every 2/12 seconds though. How long does it now take the drummer to hit the two beats together?
Qwen2-Math 7B:
Reasoning: The first beat now takes 16/17 = <<16/17=16/17>>16/17 second, and the second beat still takes 2/12 = <<2/12=1/6>>1/6 second. The two beats will hit together every 16/17 + 1/6 = <<16/17+1/6=101/102>>101/102 seconds. ### Answer: 101/102
Expected answer: 113/102
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The fireplace burns 12/17 + 8/19 = <<12/17+8/19=220/323>>220/323 cord of wood in a day. ### Answer: 220/323
Expected answer: 364/323
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total distance of the flight is 18/19 + 9/17 = <<18/19+9/17=321/323>>321/323 miles. The entire flight was 321/323 miles long. ### Answer: 321/323
Expected answer: 477/323
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The total distance between the three cities is 13/10 + 14/15 = <<13/10+14/15=1.9333333333333333>>1.9333333333333333 inches. ### Answer: 1.9333333333333333
Expected answer: 67/30
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The new speed of the balloon is 13/6 + 3/16 = <<13/6+3/16=101/48>>101/48 feet per second. ### Answer: 101/48
Expected answer: 113/48
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Scarlett has 16/10 - 1/20 = <<16/10-1/20=31/20>>31/20 gallons of red paint left. ### Answer: 31/20
Expected answer: 31/20
Correct? Yes
Problem: After finishing the small art project, Scarlett decides to mix the remaining red paint with 5/7 gallons of yellow paint to make orange paint. How many gallons of paint does she have now?
Qwen2-Math 7B:
Reasoning: Scarlett has 31/20 + 5/7 = <<31/20+5/7=267/140>>267/140 gallons of paint now. ### Answer: 267/140
Expected answer: 317/140
Correct? No
Problem: Suppose Scarlett initially had 16/10 gallons of red paint. But this time, she uses 2/20 of a gallon for her small project instead. How many gallons of red paint does she have left now?
Qwen2-Math 7B:
Reasoning: Scarlett has 16/10 - 2/20 = <<16/10-2/20=30/20>>30/20 gallons of red paint left. ### Answer: 30/20
Expected answer: 3/2
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: Susie ate 2/5 of a chocolate bar, which is <<2/5=0.4>>0.4 of a chocolate bar. There are 12 - 0.4 = <<12-0.4=11.6>>11.6 chocolate bars left in the box. ### Answer: 11.6
Expected answer: 58/5
Correct? Yes
Problem: Susie has a box of 12 chocolate bars. She decides to eat 2/5 of a chocolate bar herself. Then, her friend Lucy takes a further 19/11 chocolate bars. How many chocolate bars are left in the box after Lucy takes some?
Qwen2-Math 7B:
Reasoning: Susie ate 2/5 of a chocolate bar, which is <<2/5=0.4>>0.4 of a chocolate bar. Susie ate 0.4 chocolate bars, so there are 12 - 0.4 = <<12-0.4=11.6>>11.6 chocolate bars left in the box. Lucy takes 19/11 chocolate bars, which is approximately <<19/11=1.7272727272727273>>1.73 chocolate bars. There are 11.6 - 1.73 = <<11.6-1.73=9.87>>9.87 chocolate bars left in the box. ### Answer: 9.87
Expected answer: 543/55
Correct? No
Problem: Let's reconsider the scenario: Susie has a box of 12 chocolate bars. But this time, she decides to eat 2/13 of a chocolate bar herself instead of 2/5. How many chocolate bars are left in the box?
Qwen2-Math 7B:
Reasoning: Susie ate 2/13 of a chocolate bar, which is <<2/13=0.15384615384615385>>0.15384615384615385 of a chocolate bar. There are 12 - 0.15384615384615385 = <<12-0.15384615384615385=11.846153846153846>>11.846153846153846 chocolate bars left in the box. ### Answer: 11.846153846153846
Expected answer: 154/13
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The plane descends by 10/15 miles, which is equivalent to 2/3 miles. The new altitude of the plane is 2 - 2/3 = <<2-2/3=4/3>>4/3 miles. ### Answer: 4/3
Expected answer: 4/3
Correct? Yes
Problem: What if the plane initially flew at a lower altitude, only 2 miles high, before it descended 12/15 of a mile? What would be the altitude of the plane after this descent?
Qwen2-Math 7B:
Reasoning: The plane descends by 12/15 miles, which is equivalent to 4/5 miles. The new altitude of the plane is 2 - 4/5 = <<2-4/5=6/5>>6/5 miles. ### Answer: 6/5
Expected answer: 6/5
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The child slides a total of 6/19 + 17/4 = <<6/19+17/4=101/76>>101/76 meters. ### Answer: 101/76
Expected answer: 347/76
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The fireplace burns 4/15 + 14/15 = <<4/15+14/15=18/15>>18/15 cords of firewood in one hour. ### Answer: 18/15
Expected answer: 6/5
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The fireplace burns 4/15 + 14/15 + 6/5 = <<4/15+14/15+6/5=10/3>>10/3 cords of firewood in one hour. ### Answer: 10/3
Expected answer: 12/5
Correct? No
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?
Qwen2-Math 7B:
Reasoning: The fireplace burns 8/15 + 14/15 = <<8/15+14/15=22/15>>22/15 cords of firewood in one hour. ### Answer: 22/15
Expected answer: 22/15
Correct? Yes
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?
Qwen2-Math 7B:
Reasoning: The alien travelled 9/20 + 11/7 = <<9/20+11/7=1.75>>1.75 light years in total. ### Answer: 1.75
Expected answer: 283/140
Correct? No
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?
Qwen2-Math 7B:
Reasoning: Bob has 10/2 = <<10/2=5>>5 cucumbers from the first cucumber. Bob has 1/7 of a cucumber from the second cucumber. Bob has 5 + 1/7 = <<5+1/7=36/7>>36/7 cucumbers in total. ### Answer: 36/7
Expected answer: 36/7
Correct? Yes
Problem: After combining the cucumbers, Bob duplicates his total amount. Now, how many cucumbers does he have?
Qwen2-Math 7B:
Reasoning: Bob has 36/7 * 2 = <<36/7*2=72/7>>72/7 cucumbers in total. ### Answer: 72/7
Expected answer: 72/7
Correct? Yes
Problem: Suppose instead of 1/7 of a cucumber, Bob initially has 17/7 (or about 2 and a half) cucumbers before adding 10/2. How many cucumbers does he have now?
Qwen2-Math 7B:
Reasoning: Bob has 17/7 + 10/2 = <<17/7+10/2=119/14>>119/14 cucumbers in total. ### Answer: 119/14
Expected answer: 52/7
Correct? No