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DeepSeek Coder 33B 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?

DeepSeek Coder 33B:

Reasoning: The ball traveled 18/4 = <<18/4=4.5>>4.5 yards in Kyle's throw.
The ball traveled 19/9 = <<19/9=2.11>>2.11 yards in Lisa's throw.
The ball traveled 4.5+2.11 = <<4.5+2.11=6.61>>6.61 yards in total.

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?

DeepSeek Coder 33B:

Reasoning: The total number of bananas given to Johnnie the monkey is the sum of the bananas given in the morning and the bananas given in the afternoon.

In the morning, Johnnie the monkey was given 18/7 = <<18/7=2.5714285714285716>>2.5714285714285716 bananas.
In the afternoon, Johnnie the monkey was given 12/14 = <<12/14=0.8571428571428571>>0.8571428571428571 bananas.

So, in total, Johnnie the monkey was given 2.5714285714285716 + 0.8571428571428571 = <<2.5714285714285716+0.8571428571428571=3.4285714285714284>>3.4285714285714284 bananas.

Expected answer: 24/7

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The total distance of the bottom of the door from the floor is 4/19 inches.
The total distance of the top of the door from the ceiling is 9/10 inches.
Therefore, the total distance of the bottom and top of the door from the floor and ceiling, respectively, is 4/19 inches and 9/10 inches.

Expected answer: 211/190

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The recipe requires 17/3 = <<17/3=5.666666666666667>>5.666666666666667 liters of apple juice.
The amount used is 15/11 = <<15/11=1.3636363636363635>>1.3636363636363635 liters.
The amount left unused is 5.666666666666667 - 1.3636363636363635 = <<5.666666666666667-1.3636363636363635=4.303030303030303>>4.303030303030303 liters.
### Answer: 4.303030303030303

Expected answer: 142/33

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: Billy initially traveled 4 miles. He rolled back for 17/20 of a mile, which is 17/20 * 1 = <<17/20*1=0.85>>0.85 miles.
So, he ultimately traveled forward 4 - 0.85 = <<4-0.85=3.15>>3.15 miles.
### Answer: 3.15

Expected answer: 63/20

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The rocket traveled 15/3 light years on the first day. On the second day, it traveled an additional 2/7 light years.
So, the total distance traveled by the rocket is 15/3 + 2/7 = <<15/3+2/7=15*7/21+2*3/21=105/21+6/21=105/21+3/21=108/21=<<108/21>>5.42 light years.
### Answer: 5.42 light years

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?

DeepSeek Coder 33B:

Reasoning: The total portion of the treasure map that Captain Silverbeard found is the sum of the portions he found at each site.

The portion of the treasure map he found at the first site is 10/13.
The portion of the treasure map he found at the second site is 16/19.

So, the total portion of the treasure map that he found is 10/13 + 16/19 = <<10/13+16/19=106/259>>106/259.

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?

DeepSeek Coder 33B:

Reasoning: The hiker walked 9/6 miles North, which is equivalent to 9/6 miles.
The hiker walked 2/16 miles East, which is equivalent to 2/16 miles.
The total distance the hiker traveled is 9/6 + 2/16 = <<9/6+2/16=11/8>>11/8 miles.

Expected answer: 13/8

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: Jessica removed 4/13 cubic feet of sand.
The remaining amount of sand is 16/9 - 4/13 = <<16/9-4/13=112/117>>112/117 cubic feet.
### Answer: 112/117

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?

DeepSeek Coder 33B:

Reasoning: The total length of the rope is the sum of the lengths of the two pieces.
The total length of the rope is 15/12 + 17/17 = <<15/12+17/17=49/28>>49/28 meters.
### Answer: 49/28 meters

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?

DeepSeek Coder 33B:

Reasoning: 1 pair of pants is already counted. The remaining 13/4 pairs are counted as 13 pairs.
Mark has 1 + 13 = <<1+13=14>>14 pairs of pants in total.

Expected answer: 17/4

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The total time spent on the first subject is 8 hours.
The total time spent on the second subject is 20 hours.
The total time spent grading papers is 8+20 = <<8+20=32>>32 hours.

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?

DeepSeek Coder 33B:

Reasoning: The cloud was observed at a height of 12/3 = <<12/3=4>>4 kms.
The cloud later ascended by 15/12 = <<15/12=1.25>>1.25 kms.
The resultant height of the cloud from the ground is 4+1.25 = <<4+1.25=5.25>>5.25 kms.

Expected answer: 21/4

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: Jack rides 3/9 of a mile = <<3/9=0.3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333

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?

DeepSeek Coder 33B:

Reasoning: The total burn time for the logs is 4 logs * 1/16 hour/log = <<4*1/16=1/4>>1/4 hour.
The total burn time for the twigs is 16 twigs * 1/12 hour/twig = <<16*1/12=1/12*16=1.3333>>1.3333 hour.
The total burn time for the logs and twigs is 1/4 hour + 1.3333 hour = <<1/4+1.3333=1.75>>1.75 hour.
### Answer: 1.75 hours

Expected answer: 19/12

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The ring maker used 12/16 ounces for the base of the ring and 16/2 ounces for the rest of the ring.
The total amount of silver used is 12/16 + 16/2 = <<12/16+16/2=24>>24 ounces.
### Answer: 24

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?

DeepSeek Coder 33B:

Reasoning: The total number of bushels of apples produced by the tree is the sum of the number of bushels produced in the morning and the afternoon.

The total number of bushels of apples produced by the tree is 10/11 + 17/11 = <<10/11+17/11=27/11>>27/11 bushels.

Expected answer: 27/11

Correct? Yes

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: Sam's binoculars increase his range of sight by 3/14 of a mile.
Joe's binoculars increase his range of sight by exactly 1 mile (16/16).
Their combined range increase when they use the binoculars one after the other is 3/14 + 16/16 = <<3/14+16/16=19/14>>19/14 of a mile.
### 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?

DeepSeek Coder 33B:

Reasoning: The total length of fabric Maria uses for these two sections is 15/10 + 9/18 = <<15/10+9/18=105/90>>105/90 yards.
### Answer: 105/90

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?

DeepSeek Coder 33B:

Reasoning: The turtle walks 10/5 = <<10/5=2>>2 miles forward.
The turtle walks 5/16 = <<5/16=0.3125>>0.3125 miles backward.
The turtle covers 2 - 0.3125 = <<2-0.3125=1.6875>>1.6875 miles from its starting point.

Expected answer: 27/16

Correct? Yes

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The painter used 18/11 + 1/8 = <<18/11+1/8=25/8>>25/8 liters of paint in total.
### Answer: 25/8

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?

DeepSeek Coder 33B:

Reasoning: The computer program executed 8 tasks in 4 minutes, so it executed 8/4 = <<8/4=2>>2 tasks per minute in the first 4 minutes.
The computer program then executed another 20 tasks in 14 minutes, so it executed 20/14 = <<20/14=1.4285714285714285714285714285714>>1.4285714285714285714285714285714 tasks per minute in the next 14 minutes.
The total number of tasks it executed per minute is the sum of the tasks it executed per minute in the first 4 minutes and the tasks it executed per minute in the next 14 minutes.
2 + 1.4285714285714285714285714285714 = <<2+1.4285714285714285714285714285714=3.4285714285714285714285714285714>>3.4285714285714285714285714285714 tasks per minute.
### Answer: 3.4285714285714285714285714285714 tasks per minute

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?

DeepSeek Coder 33B:

Reasoning: The first pot contains 12/13 of a pound of gold coins, which is 12/13 * 1 = <<12/13*1=12/13>>12/13 pounds.
The second pot contains 3/2 pounds of gold coins, which is 3/2 * 1 = <<3/2*1=3/2>>3/2 pounds.
The total amount of gold is 12/13 + 3/2 = <<12/13+3/2=21/13+15/13=36/13>>36/13 pounds.
### Answer: 36/13 pounds

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?

DeepSeek Coder 33B:

Reasoning: The second part of the message is 11/1 = <<11/1=11>>11 hours long.
The total length of the message is 4/4 + 11/1 = <<4/4+11/1=15>>15 hours.
### Answer: 15 hours

Expected answer: 12

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: 

In the first scenario, each pond has 10 / 5 = <<10/5=2>>2 ducks.

In the second scenario, each pool has 8 / 10 = <<8/10=0.8>>0.8 fish.

Since we are asked for the total number of animals in each pond and pool combined, we add the number of ducks and fish in each.

For each pond, there are 2 ducks and 0.8 fish, so the total number of animals in each pond is 2 + 0.8 = <<2+0.8=2.8>>2.8.

For each pool, there are 0.8 fish, so the total number of animals in each pool is 0.8.

Therefore, the total number of animals in each pond and pool combined is 2.8 animals in each pond and 0.8 animals in each pool.

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?

DeepSeek Coder 33B:

Reasoning: The total distance between Town A and Town C is the sum of the distances between Town A and Town B and Town B and Town C.

The distance between Town A and Town B is 15/11 = <<15/11=1.3636363636363635>>1.3636363636363635 inches.

The distance between Town B and Town C is 16/15 = <<16/15=1.0666666666666667>>1.0666666666666667 inches.

The total distance between Town A and Town C is 1.3636363636363635 + 1.0666666666666667 = <<1.3636363636363635+1.0666666666666667=2.4302999999999997>>2.4302999999999997 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?

DeepSeek Coder 33B:

Reasoning: The total amount of Soap A produced is 13/18 tons. The total amount of Soap B produced is 4/6 tons.
So, the total amount of soap produced in total each day is 13/18 tons + 4/6 tons = <<13/18+4/6=11/6>>11/6 tons.

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?

DeepSeek Coder 33B:

Reasoning: Mark's sleeping bag was 19/2 = <<19/2=9.5>>9.5 feet long.
Mark cut off 13/12 = <<13/12=1.0833333333333333>>1.08333333333333333 feet from it.
Mark's sleeping bag is now 9.5 - 1.08333333333333333 = <<9.5-1.08333333333333333=8.416666666666667>>8.416666666666667 feet long.

Expected answer: 101/12

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The total pounds of food given to the monkeys is 6/20 * 20 = <<6/20*20=6>>6 pounds.
The total pounds of food given to the giraffes is 18/15 * 15 = <<18/15*15=18>>18 pounds.
The total pounds of food given to the monkeys and giraffes is 6 + 18 = <<6+18=24>>24 pounds.
### Answer: 24

Expected answer: 3/2

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The deck of cards is 20/17 full sets. This means that there are 20 full sets and 17 cards left over.
When Albert collects another full set of 4/1 cards, he now has 21 full sets and 17 cards left over.
So, Albert now has 21 full sets of cards.

Expected answer: 88/17

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The jeweler has 5/14 * 19 = <<5/14*19=105/19>>105/19 pounds of silver.
The jeweler then adds 18/19 pounds more to the supply.
The total amount of silver the jeweler has now is 105/19 + 18/19 = <<105/19+18/19=123/19>>123/19 pounds.
### Answer: 123/19 pounds

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?

DeepSeek Coder 33B:

Reasoning: The turtle moves 11 meters northward. Then, it moves 15/15 of a meter back towards the starting point. So, the turtle moves 11 - 15/15 = <<11-15/15=11-1=10>>10 meters northward.
So, the turtle is 10 meters from its starting point after these two movements.

Expected answer: 10

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: Chloe has a chocolate bar that is 19/2 = <<19/2=9.5>>9.5 ounces.
If she eats a piece that is 17/2 = <<17/2=8.5>>8.5 ounces, she has 9.5 - 8.5 = <<9.5-8.5=1>>1 ounce left.
### Answer: 1

Expected answer: 1

Correct? Yes

🔗 Follow-up

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?

DeepSeek Coder 33B:

Reasoning: Chloe has 1 ounce of chocolate left from the first bar.
If she adds a piece from another bar that weighs 4/14 = <<4/14=0.2857142857142857>>0.2857142857142857 ounces, she has 1 + 0.2857142857142857 = <<1+0.2857142857142857=1.2857142857142858>>1.2857142857142858 ounces of chocolate now.

Expected answer: 9/7

Correct? Yes

🔗 Follow-up

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?

DeepSeek Coder 33B:

Reasoning: Chloe originally had a chocolate bar that was 19/2 = <<19/2=9.5>>9.5 ounces.
If she had eaten a piece that was 9/2 = <<9/2=4.5>>4.5 ounces at the beginning, she would have had 9.5 - 4.5 = <<9.5-4.5=5>>5 ounces left.

Expected answer: 5

Correct? Yes

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The capacity of the backpack is 20/9 = <<20/9=2.222222222222223>>2.222222222222223 liters.
If he adds another pouch that can hold 8/4 more liters, the total capacity of his backpack will be 2.222222222222223 + 8/4 = <<2.222222222222223+8/4=4.222222222222223>>4.222222222222223 liters.
### Answer: 4.222222222222223

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?

DeepSeek Coder 33B:

Reasoning: First, we need to convert the fractions to decimals. 11/8 ounces is equivalent to 1.375 ounces. 5/5 ounces is equivalent to 1 ounce.

Next, we add the two amounts together. 1.375 ounces + 1 ounce = 2.375 ounces.

Therefore, Captain Hook now has 2.375 ounces of gold.

Expected answer: 19/8

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: Jake originally had 9/10 of a dollar which is 9/10 * 1 = <<9/10*1=9/10>>9/10 dollars.
Jake received an additional 20/15 of a dollar which is 20/15 * 1 = <<20/15*1=20/15>>20/15 dollars.
Jake now has 9/10 + 20/15 = <<9/10+20/15=49/30>>49/30 dollars in his wallet.
### Answer: 49/30

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?

DeepSeek Coder 33B:

Reasoning: The height of the front half of the chair is 5/2 = <<5/2=2.5>>2.5 feet.
The height of the back portion of the chair is 20/14 = <<20/14=1.428571428571429>>1.428571428571429 feet.
The combined height of the front and back portions of the chair is 2.5+1.428571428571429 = <<2.5+1.428571428571429=3.928571428571429>>3.928571428571429 feet.

Expected answer: 55/14

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: John donated 12/9 * 5 = <<12/9*5=10/9*5=50/9>>50/9 shirts to charity.
John has 5 - 50/9 = <<5-50/9=5-50/9>>5-50/9 shirts left.
### Answer: 5-50/9

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?

DeepSeek Coder 33B:

Reasoning: Bob's original jacket length is 14/3 = <<14/3=4.666666666666667>>4.666666666666667 meters.
After cutting off 14/16 = <<14/16=0.875>>0.875 meters, Bob's jacket length is 4.666666666666667 - 0.875 = <<4.666666666666667-0.875=3.791666666666667>>3.791666666666667 meters.
### Answer: 3.791666666666667 meters

Expected answer: 91/24

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: Officer Max spends 2/6 = <<2/6=1/3>>1/3 part of an hour completing paperwork.
Officer Max spends 14/7 = <<14/7=2>>2 parts of an hour patrolling the neighborhood.
Officer Max spends 1/3 + 2 = <<1/3+2=7/3>>7/3 parts of an hour doing these two tasks.
### Answer: 7/3

Expected answer: 7/3

Correct? Yes

🔗 Follow-up

Problem: Following his patrol, Officer Max then begins his shift at the police station which typically lasts 20 hours. How many hours are left in his shift after he finishes his paperwork and neighborhood patrol?

DeepSeek Coder 33B:

Reasoning: Officer Max finishes his paperwork and neighborhood patrol in 7/3 = <<7/3=2.3333333333333335>>2.3333333333333335 hours.
The remaining hours in his shift are 20 - 2.3333333333333335 = <<20-2.3333333333333335=17.666666666666668>>17.666666666666668 hours.
### Answer: 17.666666666666668

Expected answer: 53/3

Correct? Yes

🔗 Follow-up

Problem: Now consider a day when Officer Max spends 2/5 part of an hour, instead of 2/6 part of an hour, completing paperwork but still 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 in this scenario?

DeepSeek Coder 33B:

Reasoning: Officer Max spends 2/5 = <<2/5=2/5>>2/5 part of an hour completing paperwork.
Officer Max spends 14/7 = <<14/7=2>>2 parts of an hour patrolling the neighborhood.
Officer Max spends 2/5 + 2 = <<2/5+2=14/5>>14/5 parts of an hour doing these two tasks.

Expected answer: 12/5

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?

DeepSeek Coder 33B:

Reasoning: John watched 10/12 = <<10/12=0.8333>>0.8333 hours of the movie.
John watched 3/8 = <<3/8=0.375>>0.375 hours of the TV show.
John spent 0.8333 + 0.375 = <<0.8333+0.375=1.2083>>1.2083 hours watching the movie and the TV show.
### Answer: 1.2083 hours

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?

DeepSeek Coder 33B:

Reasoning: Mr. Carpenter takes 5/3 hours to build the frame.
He takes 10/13 hours to upholster it.
The total time for him to build a chair from start to finish is 5/3 + 10/13 = <<5/3+10/13=115/39>>115/39 hours.

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?

DeepSeek Coder 33B:

Reasoning: The total added diameter would be the sum of the diameters of the small and large beads.

The diameter of the small bead is 8/4 = <<8/4=2>>2 mm.
The diameter of the large bead is 15/2 = <<15/2=7.5>>7.5 mm.

The total added diameter would be 2 + 7.5 = <<2+7.5=9.5>>9.5 mm.

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?

DeepSeek Coder 33B:

Reasoning: The total distance covered by the rocket is the sum of the distances it travels to the alien planet and the distant star.

The distance to the alien planet is 11/18 = <<11/18=0.6111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

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?

DeepSeek Coder 33B:

Reasoning: 
Johnathan needs 12/14 yards of one fabric to make a sleeping bag, which is 12/14 = <<12/14=0.8571428571428571>>0.8571428571428571 yards.
Johnathan needs 8/5 yards of a different fabric to create the liner, which is 8/5 = <<8/5=1.6>>1.6 yards.
Johnathan needs 0.8571428571428571 + 1.6 = <<0.8571428571428571+1.6=2.457142857142857>>2.457142857142857 yards in total to create his sleeping bag.

Expected answer: 86/35

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The total acreage of pine and oak trees is 5/4 acres of pine trees + 1/2 acre of oak trees.

So, 5/4 + 1/2 = <<5/4+1/2=14/4+1/2=19/4>>19/4 acres.
### Answer: 19/4

Expected answer: 7/4

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: 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, he has 12/7 + 2/14 = <<12/7+2/14=12/7+14/7=26/7>>26/7 of a yard of fabric.
### Answer: 26/7

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?

DeepSeek Coder 33B:

Reasoning: The tree produces 10/4 = <<10/4=2.5>>2.5 kg of fruit every summer.
The tree loses 12/20 = <<12/20=0.6>>0.6 kg of fruit in the winter.
The difference in kilograms of the fruit from summer to winter is 2.5 - 0.6 = <<2.5-0.6=1.9>>1.9 kg.

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?

DeepSeek Coder 33B:

Reasoning: The ballerina's routine originally lasted 13/5 = <<13/5=2.6>>2.6 minutes.
After shortening it by 15/16 minutes, the routine lasts 2.6 - 15/16 = <<2.6-15/16=2.6-0.9375=1.6625>>1.6625 minutes.
### Answer: 1.6625 minutes

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?

DeepSeek Coder 33B:

Reasoning: Miss Daisy has 19/6 kg of fertilizers for her flowers. If she uses 17/20 kg on her roses, she has used 17/20 kg of fertilizers on her roses. The remaining fertilizers are 19/6 - 17/20 = <<19/6-17/20=11/120>>11/120 kg.
### Answer: 11/120 kg

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?

DeepSeek Coder 33B:

Reasoning: The total change in distance this year is the sum of the yearly increase and the unexpected increase.

The yearly increase is 4/16 meters.
The unexpected increase is 20/6 meters.

So, the total change in distance this year is 4/16 + 20/6 = <<4/16+20/6=10>>10 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?

DeepSeek Coder 33B:

Reasoning: Bob has 11/3 = <<11/3=3.666666666666665>>3.666666666666665 dollars in one pocket.
Bob has 12/19 = <<12/19=0.631578947368421>>0.631578947368421 dollars in another pocket.
Bob has 3.666666666666665 + 0.631578947368421 = <<3.666666666666665+0.631578947368421=4.298245625052875>>4.298245625052875 dollars in total in his wallet.

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?

DeepSeek Coder 33B:

Reasoning: The shark swam 5/5 = <<5/5=1>>1 mile in the morning.
The shark swam an additional 12/18 = <<12/18=0.6667>>0.6667 miles in the afternoon.
The shark swam a total of 1 + 0.6667 = <<1+0.6667=1.6667>>1.6667 miles that day.

Expected answer: 5/3

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: First, we need to find out how many words each person types in a minute.
Jim types 20 words in 16 seconds, so he types 20/16*60 = <<20/16*60=60>>60 words in a minute.
Mary types 9 words in 4 seconds, so she types 9/4*60 = <<9/4*60=225>>225 words in a minute.
So, in total, they type 60+225 = <<60+225=285>>285 words per minute.
To find out how many words they type per second, we divide the total by 60: 285/60 = <<285/60=4.75>>4.75 words per second.
### Answer: 4.75 words per second

Expected answer: 7/2

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: In the morning, Max rode 9/7 = <<9/7=1.2857142857142858>>1.2857142857142858 miles.
In the afternoon, Max rode 1/9 = <<1/9=0.1111111111111111>>0.11111111111111111 miles less than in the morning.
So, Max rode 1.2857142857142858 - 0.1111111111111111 = <<1.2857142857142858-0.1111111111111111=1.1746031757142857>>1.1746031757142857 miles in the afternoon.

Expected answer: 74/63

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The clown rode a unicycle for 9/8 hours.
After a short break, she juggled for another 2/10 hours.
The total time she performed is 9/8 + 2/10 = <<9/8+2/10=0.75+0.2>>0.95 hours.
### Answer: 0.95 hours

Expected answer: 53/40

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: Timmy dumped 7/2 = <<7/2=3.5>>3.5 kg of sand into his sandbox.
Then he added another 1/2 = <<1/2=0.5>>0.5 kg of sand.
So, the total amount of sand in his sandbox is 3.5 + 0.5 = <<3.5+0.5=4>>4 kg.

Expected answer: 4

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The total ounces of ingredients used is the sum of the ounces of moon roots and stardust.

The total ounces of ingredients used is 18/8 + 11/7 = <<18/8+11/7=119/56>>119/56 ounces.

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?

DeepSeek Coder 33B:

Reasoning: The UFO traveled 3/10 of a mile = <<3/10=0.3>>0.3 miles.
The UFO then traveled an additional 16/20 of a mile = <<16/20=0.8>>0.8 miles.
The UFO traveled 0.3+0.8 = <<0.3+0.8=1.1>>1.1 miles in total.

Expected answer: 11/10

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The first machine makes 4/14 = <<4/14=4/7>>0.5714285714285714 chairs every hour.
The second machine makes 20/4 = <<20/4=5>>5 chairs every hour.
The total number of chairs made by both machines in one hour is 0.5714285714285714 + 5 = <<0.5714285714285714+5=5.571428571428571>>5.571428571428571 chairs.

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?

DeepSeek Coder 33B:

Reasoning: The blue shark swam for 2/4 miles, which is 1/2 mile.
The hammerhead shark swam for 7/10 miles, which is 7/10 miles.
They swam together for 1/2 + 7/10 = <<1/2+7/10=41/10>>41/10 miles.
### Answer: 41/10 miles

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?

DeepSeek Coder 33B:

Reasoning: The first bottle has 8/18 gallons of milk. This simplifies to 4/9 gallons.
The second bottle has 18/8 gallons of milk. This simplifies to 27/8 gallons.
Lisa has 4/9 + 27/8 = <<4/9+27/8=33/8+27/8=60/8=7.5>>7.5 gallons of milk in total.

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?

DeepSeek Coder 33B:

Reasoning: The tree has grown 1/10 of its height this month.
The tree has additionally grown 12/6 = <<12/6=2>>2 feet due to the fertilizer.
The tree has grown 1/10 + 2 = <<1/10+2=2.2>>2.2 feet this month.
### Answer: 2.2 feet

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?

DeepSeek Coder 33B:

Reasoning: The area of the first tent is 13/11 = <<13/11=1.1818181818181819>>1.1818181818181819 acres.
The area of the second tent is 8/20 = <<8/20=0.4>>0.4 acres.
The total area occupied by both tents is 1.1818181818181819 + 0.4 = <<1.1818181818181819+0.4=1.5818181818181819>>1.5818181818181819 acres.

Expected answer: 87/55

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The total distance they must travel is the sum of the distances they travel in the East and North directions. The distance they travel in the East direction is 17 / 20 km, and the distance they travel in the North direction is 15 / 3 km.

So, the total distance they must travel is 17 / 20 km + 15 / 3 km = <<17/20+15/3>>17/6+5/6=2.83+0.83=3.66 km.

So, they must travel 3.66 km in total 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?

DeepSeek Coder 33B:

Reasoning: 
Sarah collected 11/20 of a pound = <<11/20=0.55>>0.55 pounds.
Alex collected 9/7 of a pound = <<9/7=1.29>>1.29 pounds.
They collected 0.55+1.29 = <<0.55+1.29=1.84>>1.84 pounds in total.

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?

DeepSeek Coder 33B:

Reasoning: 19/5 miles north is equivalent to 19/5 * 5 = <<19/5*5=19>>19 miles north.
12/15 miles north is equivalent to 12/15 * 5 = <<12/15*5=12>>12 miles north.
Captain Bill sailed 19 + 12 = <<19+12=31>>31 miles north in total.

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?

DeepSeek Coder 33B:

Reasoning: The total weight of the two types of meat per sandwich is the sum of the weight of the ham and the turkey.

The weight of the ham is 19/17 pounds.
The weight of the turkey is 9/4 pounds.

To find the total weight, we add the two amounts together.

The total weight of the two types of meat per sandwich is 19/17 + 9/4 = <<19/17+9/4=113/68>>113/68 pounds.

Expected answer: 229/68

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The original length of the sleeping bag is 18/19 meter. The extension is 8/11 meter. The total length of the sleeping bag is the sum of the original length and the extension.

The total length of the sleeping bag is 18/19 + 8/11 = <<18/19+8/11=100/199>>100/199 meter.

### Answer: 100/199 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?

DeepSeek Coder 33B:

Reasoning: First, we need to convert the fractions to decimals. 10/13 gallons is approximately 0.7692307692307693 gallons. 8/2 gallons is 4 gallons.

Next, we add the two amounts together. 0.7692307692307693 gallons + 4 gallons = 4.769230769230769 gallons.

So, there are 4.769230769230769 gallons of water in the container now.

Expected answer: 62/13

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: Mandy used 1/4 KG = <<1/4=0.25>>0.25 KG of apples to make apple pie.
Mandy has 9/2 - 0.25 = <<9/2-0.25=8.5>>8.5 KGs of apples left.
### Answer: 8.5

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?

DeepSeek Coder 33B:

Reasoning: John spent 12/7 hours fixing the watch.
He spent an additional 3/9 hours polishing the watch.
So, he spent 12/7 + 3/9 = <<12/7+3/9=15/7+3/9=18/7>>18/7 hours in total working on the watch.
### Answer: 18/7

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?

DeepSeek Coder 33B:

Reasoning: Peggy swam back for 1/12 miles.
Peggy was 5/4 miles from her family.
Peggy is 5/4 - 1/12 = <<5/4-1/12=11/12>>11/12 miles from her family.
### Answer: 11/12

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?

DeepSeek Coder 33B:

Reasoning: The second part of the field is 11/12 of an acre. So, the total acres used to grow wheat is 4 acres + 11/12 = <<4+11/12=4+11/12>>4.916666666666667 acres.
### Answer: 4.916666666666667 acres

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?

DeepSeek Coder 33B:

Reasoning: The designer used 11/4 = <<11/4=2.75>>2.75 yards of red fabric.
The designer added 5/17 = <<5/17=0.29411764705882354>>0.29411764705882354 yards of blue fabric.
The designer used 2.75+0.29411764705882354 = <<2.75+0.29411764705882354=2.75+0.29411764705882354>>2.75+0.29411764705882354 yards of fabric in total.

Expected answer: 207/68

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: First, we need to convert the fractions to decimals. 11/2 = 5.5 feet. 5/16 = 0.3125 feet.
Jacob uses 0.3125 feet of the wire to fix the guitar.
The remaining wire is 5.5 - 0.3125 = <<5.5-0.3125=5.1875>>5.1875 feet.
### Answer: 5.1875

Expected answer: 83/16

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The total amount of toothpaste Samantha has is 4 fluid ounces. In one week, she uses 17/14 fluid ounces. So, the amount of toothpaste she has left is 4 - 17/14 = <<4-17/14=4-1.24=2.76>>2.76 fluid ounces.

Expected answer: 39/14

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: Each friend gets 12/6 = <<12/6=2>>2 candies.
Each friend gets 20/20 = <<20/20=1>>1 sticker.
Each friend gets 2+1 = <<2+1=3>>3 candies and stickers in total.

Expected answer: 3

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The first rainfall lasted for 4/13 hours. The next rainfall lasted for 11/5 hours.
The total rainfall lasted for 4/13 + 11/5 = <<4/13+11/5=119/65>>119/65 hours.
### Answer: 119/65 hours

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?

DeepSeek Coder 33B:

Reasoning: Jane cuts 10/12 * 10/10 = <<10/12*10/10=10/120+10/10=11/12>>11/12 yards of fabric from the blanket.
### Answer: 11/12

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?

DeepSeek Coder 33B:

Reasoning: The fairy used 11/12 oz of magic dust over the enchanted field. She then used an additional 9/10 oz of dust over the grove of enchanted apple trees.
The total amount of magic dust the fairy used is 11/12 oz + 9/10 oz = <<11/12+9/10=20/12+18/10=38/12>>38/12 oz.

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?

DeepSeek Coder 33B:

Reasoning: 
The score for the vowel is 3/11 of a point.
The score for the consonant is 8/10 of a point.
The total score is the sum of the scores for the vowel and the consonant.

Let's calculate it:

The score for the vowel is 3/11 of a point.
The score for the consonant is 8/10 of a point.
The total score is the sum of the scores for the vowel and the consonant.

So, the total score is 3/11 + 8/10 = <<3/11+8/10=0.24+0.8=0.94>>0.94 points.

Therefore, if you use 1 vowel and 1 consonant, your score will be 0.94 points.

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?

DeepSeek Coder 33B:

Reasoning: The letter is 4/1 = <<4/1=4>>4 pages long.
14/9 pages are removed from it.
The letter is now 4 - 14/9 = <<4-14/9=4-1.5555555555555555>>2.4444444444444444 pages long.
### Answer: 2.4444444444444444

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?

DeepSeek Coder 33B:

Reasoning: Anne painted 16/20 = <<16/20=0.8>>0.8 of the table.
Bob painted an additional 5/20 = <<5/20=0.25>>0.25 of the table.
The total amount painted is 0.8+0.25 = <<0.8+0.25=1.05>>1.05 of the table.

Expected answer: 21/20

Correct? Yes

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The star Alpha shines 17/3 times brighter than an average star. This means that the star Alpha is 17/3 times as bright as an average star.
The star Bravo shines 20/16 times as bright as an average star. This means that the star Bravo is 20/16 times as bright as an average star.
If you add up the relative brightness of these two stars, you get 17/3 + 20/16 = <<17/3+20/16=17/3+5/8=141/24+5/8=146/24>>146/24 times as bright as an average star.
### Answer: 146/24

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?

DeepSeek Coder 33B:

Reasoning: The total weight of the red apples is 17/20 * 20 = <<17/20*20=17>>17 kg.
The total weight of the green apples is 18/8 * 8 = <<18/8*8=18>>18 kg.
The total weight of the apples in the store is 17 + 18 = <<17+18=35>>35 kg.

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?

DeepSeek Coder 33B:

Reasoning: The bus drove 12/20 of a mile = <<12/20=0.6>>0.6 miles.
The bus went an additional 12/12 of a mile = <<12/12=1>>1 mile.
The bus traveled 0.6+1 = <<0.6+1=1.6>>1.6 miles in total.

Expected answer: 8/5

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The shark swims 3/9 miles in the first hour and 13/5 miles in the second hour.
The total distance the shark swims is 3/9 + 13/5 = <<3/9+13/5=102/45>>102/45 miles.
### Answer: 102/45

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?

DeepSeek Coder 33B:

Reasoning: The time for the first beat is 17/17 seconds and the time for the second beat is 2/12 seconds. The total time for the two beats together is the sum of the two times.

17/17 + 2/12 = <<17/17+2/12=21/18>>21/18 seconds.

Therefore, it takes the drummer 21/18 seconds to hit the two beats together.

Expected answer: 7/6

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The total cord of wood burned in the morning is 12/17. The total cord of wood burned in the evening is 8/19. To find the total cord of wood burned in a day, we add the two amounts.

12/17 + 8/19 = <<12/17+8/19=100/133>>100/133 cord of wood is burned in a day.

Expected answer: 364/323

Correct? No

🔗 Problem

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

DeepSeek Coder 33B:

Reasoning: The entire flight was the sum of the two segments.
The first segment was 18/19 of a mile.
The second segment was 9/17 of a mile.
The entire flight was 18/19 + 9/17 = <<18/19+9/17=(18*17+9*19)/(19*17)=(323+171)/323=494/323=1.5473251028806585 miles.>>1.5473251028806585 miles.
### Answer: 1.5473251028806585 miles

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?

DeepSeek Coder 33B:

Reasoning: The total distance between the three cities is the sum of the distances between the first and second cities and the second and third cities.

The distance between the first and second cities is 13/10 inches.
The distance between the second and third cities is 14/15 inches.

So, the total distance between the three cities is 13/10 + 14/15 = <<13/10+14/15=119/30>>119/30 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?

DeepSeek Coder 33B:

Reasoning: The initial speed of the balloon is 13/6 = <<13/6=2.17>>2.17 feet per second.
The speed after the gust of wind is 2.17 + 3/16 = <<2.17+3/16=2.31>>2.31 feet per second.
### Answer: 2.31

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?

DeepSeek Coder 33B:

Reasoning: Scarlett used 1/20 = 0.05 gallons of paint for the small art project.
So, the remaining paint is 16/10 - 0.05 = <<16/10-0.05=15.95>>15.95 gallons.
### Answer: 15.95

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?

DeepSeek Coder 33B:

Reasoning: Susie eats 2/5 of a chocolate bar, which is 2/5 * 1 = <<2/5*1=0.4>>0.4 chocolate bars.
The remaining number of chocolate bars is 12 - 0.4 = <<12-0.4=11.6>>11.6 chocolate bars.
### Answer: 11.6

Expected answer: 58/5

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: The plane descends by 10/15 of a mile, which is 2/3 of a mile.
The new altitude of the plane is 2 - 2/3 = <<2-2/3=4/3>>4/3 miles.
### Answer: 4/3 miles

Expected answer: 4/3

Correct? Yes

🔗 Follow-up

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?

DeepSeek Coder 33B:

Reasoning: The plane descends by 12/15 of a mile, which is 4/5 of a mile.
The new altitude of the plane is 2 - 4/5 = <<2-4/5=8/5>>8/5 miles.
### Answer: 8/5 miles

Expected answer: 6/5

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?

DeepSeek Coder 33B:

Reasoning: The first slide is 6/19 = <<6/19=0.3157894736842105>>0.3157894736842105 meters long.
The second slide is 17/4 = <<17/4=4.25>>4.25 meters long.
The total distance they slid is 0.3157894736842105 + 4.25 = <<0.3157894736842105+4.25=4.56578947368421>>4.56578947368421 meters.

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?

DeepSeek Coder 33B:

Reasoning: The fireplace burns 4/15 cords in the early morning and 14/15 cords in the late night.
The total firewood burned in one hour is 4/15 + 14/15 = <<4/15+14/15=18/15>>18/15 cords.
### 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?

DeepSeek Coder 33B:

Reasoning: The fireplace burns 4/15 cords in the early morning, 14/15 cords in the late night, and 6/5 cords in the peak hours.
The total firewood burned in one hour is 4/15 + 14/15 + 6/5 = <<4/15+14/15+6/5=38/15>>38/15 cords.

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?

DeepSeek Coder 33B:

Reasoning: The fireplace burns 8/15 cords in the early morning and 14/15 cords in the late night.
The total firewood burned in one hour is 8/15 + 14/15 = <<8/15+14/15=22/15>>22/15 cords.

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?

DeepSeek Coder 33B:

Reasoning: The alien travelled 9/20 of a light year towards earth, which is 9/20 = 0.45 light years.
The alien then moved forward another 11/7 light years, which is 11/7 = 1.5714285714285714 light years.
The total distance travelled by the alien is 0.45 + 1.5714285714285714 = 2.0214285714285715 light years.
### Answer: 2.0214285714285715

Expected answer: 283/140

Correct? Yes

🔗 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?

DeepSeek Coder 33B:

Reasoning: Bob has 10/2 = <<10/2=5>>5 cucumbers.
Bob has 1/7 = <<1/7=0.14285714285714285>>0.14285714285714285 cucumbers.
Bob has 5+0.14285714285714285 = <<5+0.14285714285714285=5.142857142857143>>5.142857142857143 cucumbers in total.

Expected answer: 36/7

Correct? Yes