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?

Mixtral 8x22B:

 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 distance of 4.5 + 2.111111111111111 = <<4.5+2.111111111111111=6.611111111111111>>6.611111111111111 yards.
### Answer: 6.611111111111111

Expected answer: 119/18

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?

Mixtral 8x22B:

 Reasoning: Johnnie the monkey was given 18/7 + 12/14 bananas.
To add these fractions, we need a common denominator. The least common multiple of 7 and 14 is 14.
So, we convert 18/7 to 36/14 by multiplying both the numerator and the denominator by 2.
Now, we can add the two fractions: 36/14 + 12/14 = (36+12)/14 = 48/14.
We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
So, Johnnie the monkey was given 48/14 ÷ 2/2 = 24/7 bananas in total.
### Answer: 24/7

Expected answer: 24/7

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The bottom of the door measures 4/19 inches from the floor.
The top of the door measures 9/10 inches from the ceiling.
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 = 133/190>>133/190 inches.
### Answer: 133/190 inches

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?

Mixtral 8x22B:

 Reasoning: Ralph's recipe requires 17/3 = <<17/3=5.666666666666667>>5.666666666666667 liters of apple juice.
Ralph uses 15/11 = <<15/11=1.3636363636363635>>1.3636363636363635 liters of apple juice.
The amount of apple juice left unused is 5.666666666666667 - 1.3636363636363635 = <<5.666666666666667-1.3636363636363635=4.3030303030303035>>4.3030303030303035 liters.
### Answer: 4.3030303030303035

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?

Mixtral 8x22B:

 Reasoning: Billy rolled back for 17/20 of a mile, so he ultimately traveled forward 4 - 17/20 = <<4-(17/20)=(80/20)-(17/20)=63/20=3.15>>3.15 miles.
### Answer: 3.15 miles

Expected answer: 63/20

Correct? No

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?

Mixtral 8x22B:

 Reasoning: The rocket traveled 15/3 + 2/7 = <<15/3=5>>5 + <<2/7=0.2857142857142857>>0.2857142857142857 = <<5+0.2857142857142857=5.285714285714286>>5.285714285714286 light years in total.
### Answer: 5.285714285714286

Expected answer: 37/7

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?

Mixtral 8x22B:

 Reasoning: To find the total portion of the treasure map that Captain Silverbeard found, we need to add the two fractions together. However, since they have different denominators, we need to find a common denominator first.

The least common multiple (LCM) of 13 and 19 is 247.

So, we convert the fractions to have the same denominator:

10/13 = (10 \* 19)/(13 \* 19) = 190/247

16/19 = (16 \* 13)/(19 \* 13) = 208/247

Now, we can add the two fractions together:

190/247 + 208/247 = (190 + 208)/247 = 398/247

Therefore, Captain Silverbeard found 398/247 of the treasure map.

### Answer: 398/247

Expected answer: 398/247

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The hiker walks 9/6 = <<9/6=1.5>>1.5 miles North and 2/16 = <<2/16=0.125>>0.125 miles East.
The hiker has 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 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?

Mixtral 8x22B:

 Reasoning: Jessica has 16/9 - 4/13 = <<(16/9) - (4/13)=128/117>>128/117 cubic feet of sand left in her sandbox.
### Answer: 128/117 cubic feet

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?

Mixtral 8x22B:

 Reasoning: The first piece of rope is 15/12 = <<15/12=1.25>>1.25 meters long.
The second piece of rope is 17/17 = <<17/17=1>>1 meter long.
The total length of the rope is 1.25 + 1 = <<1.25+1=2.25>>2.25 meters.
### Answer: 2.25 meters

Expected answer: 9/4

Correct? No

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?

Mixtral 8x22B:

 Reasoning: Mark has 1 + 13/4 = <<1 + 13/4 = 1 + 3.25 = 4.25>>4.25 pairs of pants in total. Since we can't have a fraction of a pair of pants, we'll round down to the nearest whole number.
### Answer: 4 pairs of pants

Expected answer: 17/4

Correct? No

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?

Mixtral 8x22B:

 Reasoning: Miss Jenny spent 8/8 = <<8/8=1>>1 hour on the first subject and 20/19 = <<20/19=1.05263157894737>>1.05263157894737 hours on the second subject.
Miss Jenny spent 1 + 1.05263157894737 = <<1+1.05263157894737=2.05263157894737>>2.05263157894737 hours grading papers in total.
### Answer: 2.05263157894737 hours

Expected answer: 39/19

Correct? No

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?

Mixtral 8x22B:

 Reasoning: The cloud was initially at a height of 12/3 = <<12/3=4>>4 kms.
The cloud 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.
### Answer: 5.25 kms

Expected answer: 21/4

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?

Mixtral 8x22B:

 Reasoning: Jack rides 3/9 + 17/15 = <<3/9+17/15=11/15>>11/15 miles in total.
### Answer: 11/15 miles

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?

Mixtral 8x22B:

 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 hours

Expected answer: 19/12

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?

Mixtral 8x22B:

 Reasoning: The ring maker used 12/16 = <<12/16=0.75>>0.75 ounces of silver for the base of the ring.
The ring maker used 16/2 = <<16/2=8>>8 ounces of silver to make the rest of the ring.
The ring maker used 0.75 + 8 = <<0.75+8=8.75>>8.75 ounces of silver in total.
### Answer: 8.75

Expected answer: 35/4

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?

Mixtral 8x22B:

 Reasoning: The tree produced 10/11 + 17/11 = <<10/11+17/11=27/11>>27/11 bushels of apples in total.
### Answer: 27/11 bushels

Expected answer: 27/11

Correct? Yes

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?

Mixtral 8x22B:

 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 is 3/14 + 16/16 = <<3/14 + 16/16 = 113/112>>113/112 miles.
### Answer: 113/112 miles

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?

Mixtral 8x22B:

 Reasoning: Maria uses 9/18 = <<9/18=1/2>>1/2 yards more for the second section.
The total length of fabric Maria uses is 15/10 + 1/2 = <<15/10+1/2=1.5+0.5=2>>2 yards.
### Answer: 2 yards

Expected answer: 2

Correct? Yes

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?

Mixtral 8x22B:

 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 has actually covered 2 - 0.3125 = <<2-0.3125=1.6875>>1.6875 miles from its starting point.
### Answer: 1.6875

Expected answer: 27/16

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The painter used 18/11 + 1/8 = <<18/11+1/8=1.6363636363636365>>1.6363636363636365 liters of paint in total.
### Answer: 1.6363636363636365

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?

Mixtral 8x22B:

 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 executed 20 tasks in 14 minutes, so it 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 the sum of the tasks executed per minute in the first 4 minutes and the tasks executed per minute in the next 14 minutes, which is 2 + 1.4285714285714286 = <<2+1.4285714285714286=3.4285714285714284>>3.4285714285714284 tasks per minute.
### Answer: 3.4285714285714284

Expected answer: 24/7

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The first pot contains 12/13 pounds of gold coins.
The second pot contains 3/2 pounds of gold coins.
The total amount of gold is 12/13 + 3/2 = <<12/13 + 3/2 = 1.076923076923077 + 1.5 = 2.576923076923077>>2.576923076923077 pounds of gold.
### Answer: 2.576923076923077 pounds of gold

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?

Mixtral 8x22B:

 Reasoning: The first part of the message is 4/4 = <<4/4=1>>1 hour long.
The second part of the message 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 hours

Expected answer: 12

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?

Mixtral 8x22B:

 Reasoning: Each pond has 10 / 5 = <<10/5=2>>2 ducks.
Each pool has 8 / 10 = <<8/10=0.8>>0.8 fish.
Since we cannot have a fraction of a fish, we can assume that the fish are not evenly distributed among the pools, and some pools may have 1 fish while others have none. However, since the question asks for the total number of animals in each pond and pool combined, we can ignore this discrepancy and simply add the total number of ducks and fish together.
There are 10 ducks + 8 fish = <<10+8=18>>18 animals in total.
Since there are 5 ponds and 10 pools, there are 5 + 10 = <<5+10=15>>15 ponds and pools combined.
Therefore, there are 18 / 15 = <<18/15=1.2>>1.2 animals in each pond and pool combined.
Since we cannot have a fraction of an animal, we can assume that some ponds and pools have more animals than others. However, since the question asks for the average number of animals in each pond and pool combined, we can round this number to the nearest whole number.
### Answer: 1 animal in each pond and pool combined.

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?

Mixtral 8x22B:

 Reasoning: The total distance between Town A and Town C on the map is 15/11 + 16/15 = <<15/11+16/15=2.727272727272727>>2.727272727272727 inches.
### Answer: 2.727272727272727 inches

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?

Mixtral 8x22B:

 Reasoning: The company produces 13/18 + 4/6 = <<13/18 + 4/6 = 13/18 + 2/3 = 13/18 + 12/18 = 25/18>>25/18 tons of soap in total each day.
### Answer: 25/18 tons

Expected answer: 25/18

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?

Mixtral 8x22B:

 Reasoning: Mark's sleeping bag was originally 19/2 = <<19/2=9.5>>9.5 feet long.
He cut off 13/12 = <<13/12=1.0833333333333333>>1.0833333333333333 feet from it.
So, his sleeping bag is now 9.5 - 1.0833333333333333 = <<9.5-1.0833333333333333=8.416666666666666>>8.416666666666666 feet long.
### Answer: 8.416666666666666

Expected answer: 101/12

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: Mary feeds 6/20 = <<6/20=0.3>>0.3 pounds of food to the monkeys.
Mary feeds 18/15 = <<18/15=1.2>>1.2 pounds of food to the giraffes.
Mary has given 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: 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?

Mixtral 8x22B:

 Reasoning: Albert starts with 20/17 = <<20/17=1.1764705882352941>>1.1764705882352941 full sets of cards.
Albert collects another full set of 4/1 = <<4/1=4>>4 cards.
Albert now has 1.1764705882352941 + 4 = <<1.1764705882352941+4=5.176470588235294>>5.176470588235294 full sets of cards.
Since Albert cannot have a fraction of a full set, we round down to the nearest whole number.
Albert now has 5 full sets of cards.
### Answer: 5

Expected answer: 88/17

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?

Mixtral 8x22B:

 Reasoning: The jeweler has 5/14 + 18/19 = <<5/14 + 18/19 = (95 + 252)/(14*19) = 347/266>>347/266 pounds of silver now.
### Answer: 347/266 pounds

Expected answer: 347/266

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The turtle moves 11 meters northward and then moves 15/15 = 1 meter back towards the starting point.
The turtle is now 11 - 1 = <<11-1=10>>10 meters away from its starting point.
### Answer: 10

Expected answer: 10

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?

Mixtral 8x22B:

 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: 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?

Mixtral 8x22B:

 Reasoning: The capacity of the additional pouch is 8/4 = <<8/4=2>>2 liters.
The total capacity of the backpack will be 20/9 + 2 = <<20/9+2=2.2222222222222223>>2.2222222222222223 liters.
### Answer: 2.2222222222222223 liters

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?

Mixtral 8x22B:

 Reasoning: Captain Hook has 11/8 + 5/5 = <<11/8 + 5/5 = 1.375 + 1 = 2.375>>2.375 ounces of gold.
### Answer: 2.375 ounces

Expected answer: 19/8

Correct? No

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?

Mixtral 8x22B:

 Reasoning: Jake originally had 9/10 of a dollar, which is equal to $0.90.
Jake received an additional 20/15 of a dollar, which simplifies to 4/3 of a dollar, or $1.33.
Jake now has $0.90 + $1.33 = <<0.90+1.33=2.23>>$2.23 in his wallet.
### Answer: $2.23

Expected answer: 67/30

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?

Mixtral 8x22B:

 Reasoning: The height of the front portion 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=1.4285714285714286>>1.4285714285714286 feet.
The combined height of the front and back portions of the chair is 2.5 + 1.4285714285714286 = <<2.5+1.4285714285714286=3.9285714285714284>>3.9285714285714284 feet.
### Answer: 3.9285714285714284 feet

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?

Mixtral 8x22B:

 Reasoning: John donated 5 \* (12/9) = <<5\*(12/9)=6.666666666666667>>6.666666666666667 shirts to charity. Since John can't donate a fraction of a shirt, we'll round down to the nearest whole number, which is 6 shirts.
John has 5 - 6 = <<5-6=-1>>-1 shirts left. However, since John can't have a negative number of shirts, this means that John donated all of his shirts to charity.
### Answer: 0

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?

Mixtral 8x22B:

 Reasoning: Bob cuts off 14/16 = <<14/16=0.875>>0.875 meters from the original length of the jacket.
The new length of the jacket is 14/3 - 0.875 = <<14/3-0.875=4.125>>4.125 meters.
### Answer: 4.125 meters

Expected answer: 91/24

Correct? No

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?

Mixtral 8x22B:

 Reasoning: Officer Max spends 2/6 + 14/7 = <<2/6+14/7=1>>1 part of an hour completing paperwork and patrolling the neighborhood.
### Answer: 1

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?

Mixtral 8x22B:

 Reasoning: John watched the movie for 10/12 = <<10/12=5/6>>5/6 of an hour and the TV show for 3/8 = <<3/8=3/8>>3/8 of an hour.
The total time he spent watching is 5/6 + 3/8 = <<(5/6)+(3/8)=(20/24)+(9/24)=29/24>>29/24 hours.
Since 24/24 = 1 hour, 29/24 = 1 hour and 5/24 of an hour.
To convert 5/24 of an hour to minutes, we multiply by 60 (since there are 60 minutes in an hour): 5/24 \* 60 = <<(5/24)\*60=125/4=31.25>>31.25 minutes.
Therefore, John spent a total of 1 hour and 31.25 minutes watching.
### Answer: 1 hour and 31.25 minutes

Expected answer: 29/24

Correct? No

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?

Mixtral 8x22B:

 Reasoning: Mr. Carpenter takes 5/3 + 10/13 = <<5/3+10/13=155/39>>155/39 hours to build a chair from start to finish.
### Answer: 155/39 hours

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?

Mixtral 8x22B:

 Reasoning: The diameter of a small bead is 8/4 = <<8/4=2>>2 mm.
The diameter of a large bead is 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 mm

Expected answer: 19/2

Correct? No

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?

Mixtral 8x22B:

 Reasoning: The rocket travels 11/18 + 8/2 = <<11/18+8/2=11/18+4=11/18+72/18=83/18>>83/18 light-years in total.
### Answer: 83/18 light-years

Expected answer: 83/18

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?

Mixtral 8x22B:

 Reasoning: Johnathan needs 12/14 + 8/5 = <<12/14=0.8571428571428571>> + <<8/5=1.6>> = 2.457142857142857 yards of fabric in total.
### Answer: 2.457142857142857

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?

Mixtral 8x22B:

 Reasoning: The total acreage of pine trees is 5/4 acres.
The total acreage of oak trees is 1/2 acre.
The total acreage of pine and oak trees is 5/4 + 1/2 = <<5/4+1/2=1.75>>1.75 acres.
### Answer: 1.75 acres

Expected answer: 7/4

Correct? No

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?

Mixtral 8x22B:

 Reasoning: Jake has 12/7 + 2/14 = <<12/7+2/14=24/14>>24/14 yards of fabric.
Simplifying the fraction, we get 24/14 = <<24/14=12/7>>12/7 yards of fabric.
### Answer: 12/7 yards

Expected answer: 13/7

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?

Mixtral 8x22B:

 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 every 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.
### Answer: 1.9

Expected answer: 19/10

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The ballerina shortens her routine by 15/16 minutes, so her new routine lasts 13/5 - 15/16 = <<(13/5) - (15/16)=(104/40) - (15/16)=(104/40) - (15/16)\*(5/5)=(104/40) - (75/80)=(208/80) - (75/80)=133/80>>133/80 minutes.
### Answer: 133/80 minutes

Expected answer: 133/80

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: Miss Daisy has 19/6 - 17/20 = <<(19/6) - (17/20)=(190-51)/60=139/60>>139/60 kg of fertilizers left.
### Answer: 139/60 kg

Expected answer: 139/60

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The moon moves away from Earth by 4/16 meters every year, which is equivalent to 1/4 meters.
This year, there was an additional increase of 20/6 meters.
The total change in distance this year is 1/4 + 20/6 = <<1/4 + 20/6 = 11/12>>11/12 meters.
### Answer: 11/12 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?

Mixtral 8x22B:

 Reasoning: To find the total amount of money Bob has in his wallet, we need to add the amounts in both pockets.

First, we need to find a common denominator for the fractions. The least common multiple of 3 and 19 is 57.

So, we convert the fractions to have the same denominator:

11/3 = (11 \* 19)/(3 \* 19) = 209/57

12/19 = (12 \* 3)/(19 \* 3) = 36/57

Now, we can add the two amounts:

209/57 + 36/57 = (209 + 36)/57 = 245/57

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1:

245/57 = 245/57

So, Bob has 245/57 dollars in his wallet.

### Answer: 245/57 dollars

Expected answer: 245/57

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The shark swam 5/5 = <<5/5=1>>1 mile in the morning.
The shark swam 12/18 = <<12/18=2/3>>2/3 miles in the afternoon.
The shark swam 1 + 2/3 = <<1+2/3=5/3>>5/3 miles in total that day.
### Answer: 5/3 miles

Expected answer: 5/3

Correct? Yes

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?

Mixtral 8x22B:

 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: 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?

Mixtral 8x22B:

 Reasoning: Max rode 9/7 - 1/9 = <<9/7-1/9=64/63>>64/63 miles in the afternoon.
### Answer: 64/63 miles

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?

Mixtral 8x22B:

 Reasoning: The clown performed for 9/8 + 2/10 = <<(9/8) + (2/10)=1.125 + 0.2=1.325>>1.325 hours in total.
### Answer: 1.325 hours

Expected answer: 53/40

Correct? No

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?

Mixtral 8x22B:

 Reasoning: Timmy initially dumps 7/2 kg of sand into his sandbox.
Later, he adds another 1/2 kg of sand.
So, the total amount of sand in the sandbox is 7/2 + 1/2 = <<7/2+1/2=4>>4 kg.
### Answer: 4 kg

Expected answer: 4

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?

Mixtral 8x22B:

 Reasoning: The wizard used 18/8 + 11/7 = <<18/8+11/7=2.25+1.5714285714285714=3.8214285714285716>>3.8214285714285716 ounces of ingredients in total.
### Answer: 3.8214285714285716 ounces

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?

Mixtral 8x22B:

 Reasoning: The UFO traveled 3/10 + 16/20 = <<3/10+16/20=11/10>>11/10 miles in total.
### Answer: 11/10 miles

Expected answer: 11/10

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The first machine makes 4/14 \* 14 = <<4/14\*14=4>>4 chairs in one hour.
The second machine makes 20/4 \* 4 = <<20/4\*4=20>>20 chairs in one hour.
Both machines make 4+20 = <<4+20=24>>24 chairs in one hour.
### Answer: 24

Expected answer: 37/7

Correct? No

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?

Mixtral 8x22B:

 Reasoning: The blue shark swam for 2/4 = <<2/4=1/2>>1/2 miles.
The hammerhead shark swam for 7/10 = <<7/10=0.7>>0.7 miles.
Together, they swam for 1/2 + 0.7 = <<1/2+0.7=1.2>>1.2 miles.
### Answer: 1.2

Expected answer: 6/5

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The first bottle has 8/18 = <<8/18=4/9>>4/9 gallons of milk.
The second bottle has 18/8 = <<18/8=2.25>>2.25 gallons of milk.
Lisa has 4/9 + 2.25 = <<4/9+2.25=2.5>>2.5 gallons of milk in total.
### Answer: 2.5

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?

Mixtral 8x22B:

 Reasoning: Let's assume the tree's height is H feet.
The tree grows 1/10 of its height every month, so it grows H/10 feet this month.
The tree also grows an additional 12/6 = <<12/6=2>>2 feet due to the fertilizer.
The total growth this month is H/10 + 2 feet.
### Answer: H/10 + 2 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?

Mixtral 8x22B:

 Reasoning: The area of the large tent is 13/11 acres and the area of the smaller tent is 8/20 acres. To find the total area occupied by both tents, we need to add the two areas together.

First, we need to find a common denominator for the two fractions. The least common multiple of 11 and 20 is 220.

So, we convert the fractions to have the same denominator:

13/11 = (13 \* 20)/(11 \* 20) = 260/220

8/20 = (8 \* 11)/(20 \* 11) = 88/220

Now, we can add the two fractions together:

260/220 + 88/220 = (260 + 88)/220 = 348/220

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 2:

348/220 = (348/2)/(220/2) = 174/110

So, the total area occupied by both tents is 174/110 acres.

### Answer: 174/110 acres

Expected answer: 87/55

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: Captain Jack must travel (17 / 20) km to the East and then (15 / 3) km to the North.
The total distance traveled is the sum of the distances traveled in each direction.
Total distance = (17 / 20) + (15 / 3) = <<(17 / 20) + (15 / 3)=1.7+5=6.7>>6.7 km
### Answer: 6.7 km

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?

Mixtral 8x22B:

 Reasoning: Sarah collected 11/20 \* 16 = <<11/20\*16=8.8>>8.8 pounds of firewood.
Alex collected 9/7 \* 16 = <<9/7\*16=20.57142857142857>>20.57142857142857 pounds of firewood.
Together, they collected 8.8 + 20.57142857142857 = <<8.8+20.57142857142857=29.37142857142857>>29.37142857142857 pounds of firewood.
### Answer: 29.37142857142857

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?

Mixtral 8x22B:

 Reasoning: Captain Bill sailed 19/5 + 12/15 = <<19/5 + 12/15 = 3.8 + 0.8 = 4.6>>4.6 miles north in total.
### Answer: 4.6

Expected answer: 23/5

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The total weight of the two types of meat per sandwich is (19/17) + (9/4) = <<(19/17) + (9/4)=(76/68)+(18/8)=(76+144)/68=220/68=3.2352941176470588235294117647059>>3.2352941176470588235294117647059 pounds.
### Answer: 3.2352941176470588235294117647059 pounds

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?

Mixtral 8x22B:

 Reasoning: The extension for the sleeping bag is 8/11 meter long.
The total length of the sleeping bag is 18/19 + 8/11 = <<18/19 + 8/11 = (18*11 + 8*19)/(19*11) = (198 + 152)/209 = 350/209 = 1.674641148325359 meter>>1.674641148325359 meter.
### Answer: 1.674641148325359 meter

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?

Mixtral 8x22B:

 Reasoning: Sarah first pours 10/13 gallon of water into the container.
Then she adds another 8/2 = <<8/2=4>>4 gallons of water into it.
The total amount of water in the container is 10/13 + 4 = <<10/13+4=1.1538461538461537+4=5.1538461538461535>>5.1538461538461535 gallons.
### Answer: 5.1538461538461535 gallons

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?

Mixtral 8x22B:

 Reasoning: Mandy has 9/2 - 1/4 = <<(9/2) - (1/4)=4.25>>4.25 KGs of apples left.
### Answer: 4.25

Expected answer: 17/4

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?

Mixtral 8x22B:

 Reasoning: John spent 12/7 + 3/9 = <<12/7=1.7142857142857142>>1.7142857142857142 + <<3/9=0.3333333333333333>>0.3333333333333333 = <<1.7142857142857142+0.3333333333333333=2.0476190476190475>>2.0476190476190475 hours working on the watch.
### Answer: 2.0476190476190475

Note: The answer is given in decimal form, but it can also be expressed as a fraction or a mixed number.

* 12/7 hours = 1 5/7 hours
* 3/9 hours = 1/3 hours
* 1 5/7 + 1/3 = 2 1/21 hours

So, John spent 2 1/21 hours working on the watch.

Expected answer: 43/21

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: Peggy had traveled 5/4 miles before turning around, so she had 5/4 miles left to swim to get back to her family.
Peggy swam back for 1/12 miles before deciding to rest, so she still had 5/4 - 1/12 = <<(5/4) - (1/12)=11/12>>11/12 miles left to swim to get back to her family.
### Answer: 11/12 miles

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?

Mixtral 8x22B:

 Reasoning: The farmer has 4 + 11/12 = <<4+(11/12)=(48/12)+(11/12)=59/12>>59/12 acres in total.
To convert this to a whole number, we can divide 59 by 12 and find the remainder.
59 ÷ 12 = 4 with a remainder of 11.
So, the farmer has 4 + 11/12 = <<4+(11/12)=59/12>>59/12 acres in total.
### Answer: 59/12 or 4 11/12 acres

Expected answer: 59/12

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The designer used 11/4 + 5/17 = <<(11*17)/(4*17) + (5*4)/(17*4) = (187+20)/68 = 207/68 = 3>>3 yards of fabric in total.
### Answer: 3

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?

Mixtral 8x22B:

 Reasoning: Jacob has 11/2 - 5/16 = <<(11/2) - (5/16)=(22/4) - (5/16)=(56/16) - (5/16)=51/16>>51/16 feet of wire remaining.
### Answer: 51/16

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?

Mixtral 8x22B:

 Reasoning: Samantha uses 17/14 = <<17/14=1.2142857142857142>>1.2142857142857142 fluid ounces of toothpaste in one week.
Samantha has 4 - 1.2142857142857142 = <<4-1.2142857142857142=2.7857142857142856>>2.7857142857142856 fluid ounces of toothpaste left after that week.
### Answer: 2.7857142857142856

Expected answer: 39/14

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: Maria gives each of her 6 friends 12/6 = <<12/6=2>>2 candies.
Maria gives each of her 20 friends 1 sticker.
Each friend gets 2 candies + 1 sticker = <<2+1=3>>3 items in total.
### Answer: 3

Expected answer: 3

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The first rainfall lasted for 4/13 hours, and the second rainfall lasted for 11/5 hours.
To find the total time it rained, we need to add the two fractions together.
First, we need to find a common denominator for the two fractions. The least common multiple of 13 and 5 is 65.
So, we convert the first fraction to have a denominator of 65: 4/13 = (4 \* 5)/(13 \* 5) = 20/65
And we convert the second fraction to have a denominator of 65: 11/5 = (11 \* 13)/(5 \* 13) = 143/65
Now we can add the two fractions together: 20/65 + 143/65 = (20 + 143)/65 = 163/65
To convert this fraction to a mixed number, we divide 163 by 65: 163 ÷ 65 = 2 remainder 48
So, the total time it rained is 2 hours and 48/65 hours.
Since 48/65 is less than 1, we can convert it to a decimal: 48/65 ≈ 0.738
So, the total time it rained is approximately 2.738 hours.
### Answer: 2.738 hours

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?

Mixtral 8x22B:

 Reasoning: Jane cuts 10/12 + 10/10 = <<10/12+10/10=20/12>>20/12 yards of fabric from the blanket.
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4.
20/12 = <<20/4=5>>5/<<12/4=3>>3 yards of fabric.
### Answer: 5/3 yards

Expected answer: 11/6

Correct? No

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?

Mixtral 8x22B:

 Reasoning: The fairy used 11/12 + 9/10 = <<11/12 + 9/10 = 20/12 + 27/30 = 5/6 + 9/10 = 25/30 + 27/30 = 52/30 = 1.7333333333333333>>1.7333333333333333 oz of magic dust.
### Answer: 1.7333333333333333 oz

Expected answer: 109/60

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?

Mixtral 8x22B:

 Reasoning: The score for the vowel is 3/11 and the score for the consonant is 8/10.
The total score is (3/11) + (8/10) = <<(3/11)+(8/10)=1.1181818181818181>>1.1181818181818181 points.
### Answer: 1.1181818181818181 points

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?

Mixtral 8x22B:

 Reasoning: The letter is originally 4/1 = <<4/1=4>>4 pages long.
After removing 14/9 pages, the letter is now 4 - 14/9 = <<4-14/9=22/9>>22/9 pages long.
### Answer: 22/9

Expected answer: 22/9

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: Anne painted 16/20 of the table, and Bob painted an additional 5/20 of the table.
Together, they painted 16/20 + 5/20 = <<16/20+5/20=21/20>>21/20 of the table.
Since the table is a whole, we can simplify this fraction to 1, which means the entire table has been painted.
### Answer: 1 (or 100%)

Expected answer: 21/20

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?

Mixtral 8x22B:

 Reasoning: Alpha shines 17/3 = <<17/3=5.666666666666667>>5.666666666666667 times brighter than an average star.
Bravo shines 20/16 = <<20/16=1.25>>1.25 times brighter than an average star.
The total brightness of both stars is 5.666666666666667 + 1.25 = <<5.666666666666667+1.25=6.916666666666667>>6.916666666666667 times brighter than an average star.
### Answer: 6.916666666666667

Expected answer: 83/12

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: First, we need to find a common denominator for the fractions. The common denominator for 20 and 8 is 40.

So, we convert the fractions to have the same denominator:

17/20 = 34/40 kg of red apples
18/8 = 90/40 kg of green apples

Now, we can add the two amounts together:

34/40 + 90/40 = 124/40 kg of apples in total

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 4:

124/40 = 31/10 kg of apples in total

### Answer: 31/10 kg

Expected answer: 31/10

Correct? Yes

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?

Mixtral 8x22B:

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

Expected answer: 8/5

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: In the first hour, the shark swims 3/9 = <<3/9=1/3>>1/3 miles.
In the second hour, the shark swims 13/5 = <<13/5=2.6>>2.6 miles.
The shark swims a total of 1/3 + 2.6 = <<1/3+2.6=2.9333333333333335>>2.9333333333333335 miles in these two hours.
### Answer: 2.9333333333333335

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?

Mixtral 8x22B:

 Reasoning: The first beat takes 17/17 = <<17/17=1>>1 second.
The second beat takes 2/12 = <<2/12=1/6>>1/6 seconds.
The total time for the two beats is 1 + 1/6 = <<1+1/6=6/6+1/6=7/6>>7/6 seconds.
### Answer: 7/6 seconds

Expected answer: 7/6

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: To find the total cord of wood burned in a day, we need to add the amount burned in the morning and the amount burned in the evening.

First, we need to find a common denominator for the fractions. The least common multiple of 17 and 19 is 323.

So, we convert the fractions to have the same denominator:

12/17 = (12 \* 19)/(17 \* 19) = 228/323

8/19 = (8 \* 17)/(19 \* 17) = 136/323

Now, we can add the two fractions:

228/323 + 136/323 = (228 + 136)/323 = 364/323

So, the fireplace burns 364/323 cord of wood in a day.

### Answer: 364/323 cord of wood

Expected answer: 364/323

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: The first segment was 18/19 of a mile and the second segment was 9/17 of a mile.
To find the total length of the flight, we need to add the lengths of the two segments.
The first segment is 18/19 and the second segment is 9/17.
To add these two fractions, we need to find a common denominator. The least common multiple of 19 and 17 is 323.
So, we convert the first fraction to 18/19 \* 17/17 = 306/323 and the second fraction to 9/17 \* 19/19 = 171/323.
Now, we can add the two fractions: 306/323 + 171/323 = 477/323.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1.
So, the total length of the flight is 477/323 miles.
### Answer: 477/323 miles

Expected answer: 477/323

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: Jenna measured 13/10 + 14/15 = <<(13/10) + (14/15)=(195+140)/150=335/150=2.233333333333333>>2.233333333333333 inches between the first two cities and 14/15 = <<14/15=0.9333333333333333>>0.9333333333333333 inches between the second and third cities.
The total distance Jenna measured is 2.233333333333333 + 0.9333333333333333 = <<2.233333333333333 + 0.9333333333333333=3.1666666666666665>>3.1666666666666665 inches.
### Answer: 3.1666666666666665 inches

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?

Mixtral 8x22B:

 Reasoning: The balloon's original speed is 13/6 feet per second.
After the gust of wind, its speed increases by 3/16 feet per second.
The new speed of the balloon is 13/6 + 3/16 = <<(13/6) + (3/16)=(104/48 + 9/48)=113/48>>113/48 feet per second.
### Answer: 113/48

Expected answer: 113/48

Correct? Yes

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?

Mixtral 8x22B:

 Reasoning: Scarlett has 16/10 = <<16/10=1.6>>1.6 gallons of red paint.
Scarlett uses 1/20 of a gallon, so she will have 1.6 - 1/20 = <<1.6 - 1/20=1.55>>1.55 gallons of red paint left.
### Answer: 1.55

Expected answer: 31/20

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?

Mixtral 8x22B:

 Reasoning: Susie eats 2/5 of a chocolate bar, so she has 3/5 of a chocolate bar left.
Since there are 12 chocolate bars in the box, and she only eats a fraction of one, there are still 12 chocolate bars left in the box.
### Answer: 12

Expected answer: 58/5

Correct? No

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?

Mixtral 8x22B:

 Reasoning: The plane descends by 10/15 of a mile, which is equal to 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

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?

Mixtral 8x22B:

 Reasoning: The child went down a slide that's 6/19 meters long and another slide that's 17/4 meters long.
To find the total length of the slides, we need to add the lengths of both slides together.
First, we need to find a common denominator for the fractions. The least common multiple of 19 and 4 is 76.
So, we convert the fractions to have the same denominator:
6/19 = (6*4)/(19*4) = 24/76
17/4 = (17*19)/(4*19) = 323/76
Now, we can add the two fractions together:
24/76 + 323/76 = (24+323)/76 = 347/76
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 1.
So, the child went down a total of 347/76 = <<347/76=4.5657894736842105>>4.5657894736842105 meters.
### Answer: 4.5657894736842105 meters

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?

Mixtral 8x22B:

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

Expected answer: 6/5

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?

Mixtral 8x22B:

 Reasoning: The alien travelled 9/20 + 11/7 = <<9/20+11/7=1.215>>1.215 light years in total.
### Answer: 1.215

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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?

Mixtral 8x22B:

 Reasoning: Bob has 10/2 = <<10/2=5>>5 halves of a cucumber, which is equivalent to 5 whole cucumbers.
Bob adds 1/7 of another cucumber, which is equivalent to 1/7 of a whole 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