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?

Mistral 7B:

  Reasoning: To find the total distance the ball traveled, we need to add the distances thrown by both Kyle and Lisa.
First, let's find the common denominator for the fractions: 4 * 3 = 12.
Now, convert both fractions to have the same denominator:
Kyle's distance: (18/4) * (3/3) = (54/12)
Lisa's distance: (19/9) * (4/4) = (76/36)
Now, add the distances: (54/12) + (76/36) = (54*3+76)/(12*36) = (162+224)/360 = 388/360
### Answer: 388/360 ÷ 1 = 113/90 ≈ 1.2556 (rounded to four decimal places)

Expected answer: 119/18

Correct? No

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?

Mistral 7B:

 Reasoning: To find the number of bananas given to Johnnie in the afternoon, we need to find the least common multiple (LCM) of the denominators (7 and 14) and then multiply the numerator by that LCM.
The LCM of 7 and 14 is 42.
So, the number of bananas given to Johnnie in the afternoon is 12 * (42/14) = <<12*(42/14)=12*3=36>>36 bananas.
Johnnie was given a total of 18/7 + 36 = <<18/7+36=27+36=63>>63 bananas.
### Answer: 63

Expected answer: 24/7

Correct? No

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

Mistral 7B:

  Reasoning: The total distance from the floor to the bottom of the door is 4/19 inches.
The total distance from the ceiling to the top of the door is 1 - 9/10 = 10/10 - 9/10 = 1/10 inches.
The total distance from the floor to the ceiling through the door is the sum of the distances from the floor to the bottom and from the bottom to the top of the door, which is (4/19 + 1/10) inches.
### Answer: (4/19 + 1/10) 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?

Mistral 7B:

  Reasoning: The amount of apple juice used by Ralph is 15/11 liters.
The amount of apple juice required for the recipe is 17/3 liters.
The amount of apple juice left unused is (17/3 - 15/11) liters.
To find a common denominator, we can multiply both numerators and denominators by the least common multiple of 3 and 11, which is 33.
(17*11)/(3*11) - (15*3)/(11*3) = (187 - 45)/33 liters.
Simplifying the fraction, we get (142)/33 liters.
### Answer: 142/33 liters are left unused.

Expected answer: 142/33

Correct? Yes

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?

Mistral 7B:

 Reasoning: Billy traveled 4 miles forward initially, and then rolled back 17/20 of a mile. To find the distance he traveled forward after rolling back, we subtract the distance he rolled back from the initial distance he traveled.

Distance traveled forward = Initial distance - Distance rolled back
Distance traveled forward = 4 - (17/20)

To subtract a fraction from a whole number, we multiply the fraction by 1 in a form that the denominator is the same as the denominator of the fraction we are subtracting. In this case, we can multiply the fraction by 20/20.

Distance traveled forward = 4 - (17/20 * 20/20)
Distance traveled forward = 4 - 1.7

### Answer: 2.3 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?

Mistral 7B:

 Reasoning: To find the total distance traveled by the rocket, we need to add the distances traveled on each day.

On the first day, the rocket traveled 15/3 light years.
On the second day, the rocket traveled 2/7 light years.

Total distance traveled = 15/3 + 2/7

To add these fractions, we need a common denominator. The least common multiple of 3 and 7 is 21. So, we convert the fractions to have a common denominator of 21:

(15/3) * (7/7) + (2/7) * (3/3) = (105/21) + (6/21)

Now, we add the numerators:

105 + 6 = 111

So, the rocket traveled 111/21 light years in total.

### Answer: 111/21 lichtjaren (in Dutch: lichtjaar)

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?

Mistral 7B:

 Reasoning: To find the total portion of the treasure map that Captain Silverbeard found, we add the fractions he found at each site.
Total portion = (10/13) + (16/19)
To add the fractions, we find a common denominator, which is 190 (the least common multiple of 13 and 19).
Then we convert each fraction to have the common denominator:
(10/13) * (19/19) + (16/19) * (13/13) = (190/199) + (160/199)
Now we add the numerators:
(190+160)/199 = 350/199
### Answer: 350/199

Expected answer: 398/247

Correct? No

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

Mistral 7B:

 Reasoning: First, we need to find out how many miles the hiker walked North: 9/6 = 3/2 = 1.5 miles.
Then, we need to find out how many miles the hiker walked East: 2/16 = 1/8 = 0.125 miles.
To find the total distance traveled, we add the distances: 1.5 + 0.125 = 1.625 miles.
### Answer: 1.625 miles.

Expected answer: 13/8

Correct? No

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?

Mistral 7B:

  Reasoning: First, we find the amount of sand that Jessica removed: 16/9 - 4/13 = (16*13 - 4*9)/(9*13) = 124/117 cubic feet.
Now, we find the amount of sand that remains in the sandbox: 16/9 - 124/117 = (16*117 - 124*9)/(9*117) = 144/117 cubic feet.
### Answer: 144/117 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?

Mistral 7B:

 Reasoning: First, we need to find a common denominator for the fractions. The least common multiple of 12 and 17 is 12*2*17 = 304. So, we can rewrite the fractions as 15/12 = 15*26/12*26 = 130/26 and 17/17 = 17.
Now, we can add the lengths of the ropes: 130/26 + 17 = (130+17)*26/26 = 147/26.
### Answer: 147/26  eller 5.653846153846154 meters (when rounded to 10 decimal places)

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?

Mistral 7B:

 Reasoning: To find the number of full pairs of pants, we have 1 pair.
To find the number of incomplete pairs, we multiply 13 by 4/4 (since 13/4 is the number of "quarters" of pairs) to get 13.
Adding the full and incomplete pairs together, we have 1 + 13 = <<1+13=14>>14 pairs of pants in total.
### Answer: 14

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?

Mistral 7B:

 Reasoning: To find the total time spent on the second subject, we first need to convert the fraction to a common denominator (180 minutes). So, 20/19 * (180/60) = 120 minutes.
Then, we add the time spent on both subjects: 8 + 120 = <<8+120=128>>128 minutes.
### Answer: 128 minutes.

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?

Mistral 7B:

 Reasoning: The initial height of the cloud from the ground was 12/3 kms.
The cloud ascended by 15/12 kms, so the new height of the cloud from the ground is (12/3 + 15/12) kms.
To simplify the fraction, we can find a common denominator, which is 12.
(12 * (1/3) + 15) / 12 = (4 + 15) / 12 = 19 / 12 kms.
### Answer: 19/12 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?

Mistral 7B:

 Reasoning: First, we need to find a common denominator for the fractions 3/9 and 17/15. The least common multiple of 3, 9, and 15 is 45. So, we convert the fractions to have a common denominator:

3/9 * (45/45) + 17/15 * (45/15) = 13 + 10.8 = 23.8

However, since we cannot have a fraction of a mile, we round up to the nearest whole number:

24 miles

### Answer: 24 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?

Mistral 7B:

  Reasoning: The logs burn for 4*(1/16) = <<4*(1/16)=(1/4)>>1/4 hour.
The twigs burn for 16*(1/12) = <<16*(1/12)=(4/3)>>4/3 hours.
The total burn time for the logs and twigs is (1/4) + (4/3) = <<(1/4)+(4/3)=(17/12)>>17/12 hours.
### Answer: 17/12 hours

Expected answer: 19/12

Correct? No

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?

Mistral 7B:

  Reasoning: The ring maker used 12/16 + 16/2 = (12+16)/16 = 28/16 ounces of silver for the base of the ring.
The ring maker used 16/2 = 8 ounces of silver for the rest of the ring.
The ring maker used a total of 28/16 + 8 = (28+128)/16 = 156/16 ounces of silver.
### Answer: 156/16 ounces

Expected answer: 35/4

Correct? No

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?

Mistral 7B:

 Reasoning: The total number of bushels produced by the tree is the sum of the bushels produced in the morning and the bushels produced in the afternoon.
The total number of bushels produced is (10/11 + 17/11) = (27/11) bushels.
### 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?

Mistral 7B:

  Reasoning: Sam's binoculars increase his range of sight by 3/14 of a mile, which is equivalent to (3/14)*5280 feet (since there are 5280 feet in a mile).
Joe's binoculars increase his range of sight by exactly 1 mile, which is equivalent to 5280 feet.
Their combined range increase when they use the binoculars one after the other is the sum of their individual range increases: (3/14)*5280 + 5280 = (3*5280)/14 + 5280 = (15840 + 52800)/14 = 69000/14 feet.
### Answer: 69000/14 feet

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?

Mistral 7B:

 Reasoning: The fraction 9/18 can be simplified to 1/2.
Maria uses 15/10 + 1/2 = (3/2) + (1/2) = (3+1)/2 = 4/2 = 2 yards for the second section.
Maria uses a total of 15/10 + 2 = (3/2) + 2 = (3+4)/2 = 7/2 yards for both sections.
### Answer: 7/2 utsch!

Expected answer: 2

Correct? No

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

Mistral 7B:

 Reasoning: The turtle walked forward 10/5 miles, which is equivalent to 2 miles. Then it walked backward 5/16 miles, which is equivalent to 1/3.2 miles. To find the net distance the turtle covered, we subtract the distance it walked backward from the distance it walked forward.

Net distance = Distance forward - Distance backward
Net distance = 2 miles - (1/3.2 miles)
Net distance = (2 * 3.2) - 1
Net distance = 6.4 - 1
Net distance = 5.4 miles
### Answer: 5.4 miles

Expected answer: 27/16

Correct? No

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

Mistral 7B:

 Reasoning: To find the total amount of paint used, we add the amounts of blue and white paint.
18/11 + 1/8 = (18*8 + 11*1)/(8*11) = (144 + 11)/88 = 155/88 = 17.625 liters.
### Answer: 17.625 utschke (rounded to four decimal places)

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?

Mistral 7B:

 Reasoning: First, let's find out how many tasks the computer program executed in 14 minutes. It executed 20 tasks in 14 minutes, so the rate of tasks per minute is 20/14 = <<20/14=1.4285714285714287>>1.43 tasks per minute.

Since the computer program executed 8 tasks in 4 minutes, the rate of tasks per minute for the first 4 minutes is 8/4 = <<8/4=2>>2 tasks per minute.

To find the total number of tasks per minute, we can average the rates for both periods: (2+1.43)/2 = <<(2+1.43)/2=1.715>>1.715 tasks per minute.

### Answer: 1.715

Note: Since the answer is a decimal, it is not possible to execute a fraction of a task. However, in this context, the answer represents the average number of tasks executed per minute.

Expected answer: 24/7

Correct? No

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

Mistral 7B:

 Reasoning: To find the amount of gold in the first pot, we convert the fraction to a decimal by multiplying the numerator and denominator by a common multiple that is greater than both numbers. In this case, we can use 12 as a common multiple: 12/12 * (12/13) = 1.

To find the amount of gold in the second pot, we convert the fraction to a decimal by multiplying the numerator and denominator by a common multiple that is greater than both numbers. In this case, we can use 6 as a common multiple: 6/6 * (3/2) = 1.5.

Now, we add the amounts of gold in both pots: 1 + 1.5 = <<1+1.5=2.5>>2.5 pounds of gold in total.
### Answer: 2.5 pounds

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?

Mistral 7B:

 Reasoning: To find the total length of the message, we need to convert both fractions to the same denominator (hours).

First part: 4/4 = 1 hour
Second part: 11/1 = 11 hours

Total length: 1 hour + 11 hours = <<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?

Mistral 7B:

 Reasoning: Each pond has 10 / 5 = <<10/5=2>>2 ducks, and each pool has 8 / 10 = <<8/10=0.8>>0.8 fish.
Since there are 5 ponds and 10 pools, there are 5 * 2 + 10 * 0.8 = <<5*2+10*0.8=10+8=18>>18 animals in each pond and pool combined.
### Answer: 18

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?

Mistral 7B:

 Reasoning: To find the distance between Town B and Town C, we can set up a proportion:
15/11 = x/16
Solving for x gives us x = (15*16)/11 = <<(15*16)/11=320/11>>320/11 inches.
The distance between Town A and Town C is the sum of the distances between Town A and Town B and between Town B and Town C:
Distance(A to C) = Distance(A to B) + Distance(B to C)
Distance(A to C) = 15 + 320/11 = <<15+(320/11)=335/11>>335/11 inches.
### Answer: 335/11 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?

Mistral 7B:

 Reasoning: To find the total amount of soap produced each day, we add the amounts of Soap A and Soap B.

Soap A: 13/18 tons
Soap B: 4/6 tons

Total soap produced each day: (13/18 + 4/6) tons

To add the fractions, we find a common denominator, which is 36.

(13*2 + 18)*(4/36 + 6/36) tons

Simplifying the fractions:
(26/36 + 24/36) tons
(40/36) tons

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

(10/9) tons

### Answer: 10/9 tons

Expected answer: 25/18

Correct? No

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?

Mistral 7B:

 Reasoning: The sleeping bag was originally 19/2 feet long.
After cutting off 13/12 feet, the sleeping bag is now (19/2 - 13/12) feet long.
To find the common denominator of 2 and 12, we multiply both by 6, so the common denominator is 12.
Now, convert the fractions to have the same denominator:
(19/2) * (6/6) - (13/12) * (2/2) = (114/12) - (26/12)
To subtract the fractions, find a common multiple of the denominators that is greater than the sum of the denominators:
Let's use 12*3 = 36 as the common multiple.
Multiply both fractions by the appropriate factors to make the denominators equal:
(114/12) * (3/3) - (26/12) * (3/3) = (342/36) - (78/36)
Now, subtract the fractions:
(342 - 78) / 36 = 264 / 36
Simplify the fraction:
264 / 36 = 7 1/6
### Answer: 7 1/6 feet

Expected answer: 101/12

Correct? No

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

Mistral 7B:

  Reasoning: First, let's find the number of pounds of food Mary gave to the monkeys: 6/20 * 20 = <<6/20*20=3>>3 pounds.
Next, let's find the number of pounds of food Mary gave to the giraffes: 18/15 * 15 = <<18/15*15=12>>12 pounds.
Now, let's add the amounts of food given to both animals: 3 + 12 = <<3+12=15>>15 pounds in total.
### Answer: 15

Expected answer: 3/2

Correct? No

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

Mistral 7B:

 Reasoning: Albert initially has 20/17 sets of cards, which is approximately 11.76 sets.
After collecting another full set of 4/1 cards, he now has 11.76 + 4 = <<11.76+4=15.76>>15.76 sets of cards.
Since Albert cannot have a fraction of a set, we round up to the nearest whole number, which is 16 sets.
### Answer: 16

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?

Mistral 7B:

  Reasoning: First, we find the total amount of silver the jeweler has after adding the extra silver:
(5/14 + 18/19) = (90 + 990)/762 = 1080/762 ≈ 1.42 pounds
### Answer: The jeweler has approximately 1.42 pounds of silver to make rings.

Expected answer: 347/266

Correct? No

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

Mistral 7B:

 Reasoning: The turtle moved 11 meters northward, so it is now 11 meters north of its starting point. After moving 15/15 of a meter back towards the starting point, it moved 15 meters back southward. So, the turtle is now 11-15 = <<11-15=-4>>4 meters south of its starting point.
### Answer: -4  (Note that the negative sign indicates that the turtle is south of its starting point.)

Expected answer: 10

Correct? No

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?

Mistral 7B:

  Reasoning: First, we find out how many ounces Chloe eats by subtracting the weight of the piece she ate from the total weight of the chocolate bar: 19/2 - 17/2 = (19 - 17)/2 = 2/2 = 1 ounce.
Now, we subtract the weight of the eaten piece from the total weight of the chocolate bar to find out how many ounces of chocolate Chloe has left: 19/2 - 17/2 - 1 = 19/2 - 18/2 = 1/2 ounce.
### Answer: 1/2 ounce

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?

Mistral 7B:

 Reasoning: The initial capacity of Sammy's backpack is 20/9 liters.
The additional pouch can hold 8/4 liters, which is equivalent to 2 liters (since 8/4 = 2).
The total capacity of Sammy's backpack after adding the pouch will be 20/9 + 2 = <<20/9+2=22/9>>22/9 liters.
### Answer: 22/9

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?

Mistral 7B:

  Reasoning: The total weight of the gold is the sum of the gold Captain Hook already had and the gold he found.
The total weight of the gold is (11/8 + 5/5) ounces.
To add the fractions, we need a common denominator, which is 40. So, we convert 11/8 to (11*5/40) + (40-11)*(1/40) and 5/5 to (5*8/40).
The total weight of the gold is (11*5/40 + 40-11)*(1/40) + (5*8/40) ounces.
Simplifying the expression, we get (65/40) ounces.
### Answer: 1.625 ounces (when rounded to three decimal places)

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?

Mistral 7B:

 Reasoning: First, we need to find out how much of a dollar Jake received. To do this, we convert the fraction 20/15 to a common denominator with 10, which is 30. So, 20/15 = (20*2)/(15*2) = 4/3.
Now, we add the amount Jake originally had (9/10) to the amount he received (4/3). To add these fractions, we need a common denominator, which is 30. So, (9/10) * (3/3) + (4/3) = (27/30) + (4/3).
To add these fractions, we need a common multiple of 30 and 3, which is 90. So, (27/30) * (3/3) + (4/3) * (30/30) = (81/90) + (120/90).
Now, we add the numerators: 81 + 120 = 201.
Since the denominator is 90, the final answer is 201/90.
### Answer: 201/90

Expected answer: 67/30

Correct? Yes

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?

Mistral 7B:

 Reasoning: First, we need to convert both measurements to a common denominator. The common denominator for 5/2 and 20/14 is 10.

5/2 * (10/5) = 10 feet
20/14 * (10/7) = 10 feet and 14/7 ≈ 2 feet (rounded to the nearest whole number)

Now, we add the heights of the front and back portions:

10 feet + 2 feet = <<10+2=12>>12 feet
### Answer: 12 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?

Mistral 7B:

 Reasoning: John donated 12/9 of his shirts, which is equivalent to 4 shirts (since 12/9 = 4).
John has 5 - 4 = <<5-4=1>>1 shirt left.
### Answer: 1

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?

Mistral 7B:

 Reasoning: First, we need to find the length of the part that Bob cut off: 14/3 - 14/16 = 42/48 - 21/48 = 21/48.
Now, we need to subtract this value from the original length: 14/3 - 21/48 = (14*48 - 21*3)/(3*48) = 63/48.
### Answer: 63/48 ≈ 1.3125 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?

Mistral 7B:

 Reasoning: First, we find the total time Officer Max spends on paperwork and patrolling:
Time on paperwork = 2/6
Time on patrolling = 14/7

Total time = Time on paperwork + Time on patrolling
Total time = (2/6) + (14/7)

To find a common denominator for the fractions, we can use the least common multiple (LCM) of 6 and 7, which is 42. We can rewrite the fractions as:
Time on paperwork = (7/36)
Time on patrolling = (21/42)

Now, we can add the fractions:
Total time = (7/36) + (21/42)

To add the fractions, we need a common denominator, which is 126 (LCM of 36 and 42). We can rewrite the fractions as:
Time on paperwork = (7*2*2)/(36*2) = 14/108
Time on patrolling = (21*3)/(42*3) = 21/126

Now, we can add the fractions:
Total time = (14/108) + (21/126)

To add the fractions, we can find a common multiple of the denominators, which is 252. We can rewrite the fractions as:
Total time = (14*5*2)/(108*5*2) + (21*2*2)/(126*2*2)
Total time = (70/540) + (42/540)
Total time = 112/540

Now, we can convert the fraction to a decimal by dividing the numerator by the denominator:
Total time = 112/540 = 0.2074

Since the question asks for the time in parts of an hour, we can convert the decimal to parts of an hour by multiplying by 60 (since there are 60 parts of an hour):
Total time = 0.2074 * 60 = 12.444

However, since time is measured in whole parts, we round up to the nearest whole part:
Total time = 13 parts of an hour
### Answer: 13 parts of an hour

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?

Mistral 7B:

 Reasoning: First, convert the fractions to a common denominator (8).
Time watched in hours for the movie: (10/12)*(8/8) = 10/9 hours
Time watched in hours for the TV show: (3/8)*(8/8) = 3/8 hours
Total time watched in hours: 10/9 + 3/8 = (10*8 + 9*3)/72 = 80/72 + 27/72 = 107/72
### Answer: 107/72 hours (approximately 1 hour and 29 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?

Mistral 7B:

 Reasoning: To find the total time, we need to add the time spent on building the frame and upholstering it.

Time for building the frame = 5/3 hours
Time for upholstering = 10/13 hours

Total time = (5/3) + (10/13) = (5*13 + 10*3)/(3*13) = 65/39 hours
### Answer: 65/39 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?

Mistral 7B:

 Reasoning: The total added diameter is the sum of the diameters of the small and large beads.
The total added diameter = (8/4 + 15/2) mm = (2 + 7.5) mm = <<(2+7.5)=9.5>>9.5 mm.
### Answer: 9.5

Expected answer: 19/2

Correct? Yes

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

Mistral 7B:

 Reasoning: First, we need to find the distance traveled in light-years for the second part of the journey. Since 1 light-year is equal to 9,460,730,472,580,800 meters, we can convert the second part of the journey from years to meters:
8/2 light-years = (8 * 9,460,730,472,580,800) / (2 * 365 * 24 * 60 * 60) meters

Now, we can add the distances together to find the total distance covered by the rocket:
11/18 light-years * (9,460,730,472,580,800 meters/light-year) + (8/2 light-years * (9,460,730,472,580,800 meters/light-year))

### Answer: 10,381,607,184,000,000 meters

Expected answer: 83/18

Correct? No

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?

Mistral 7B:

 Reasoning: To find the total amount of fabric Johnathan needs, we first need to find the common denominator of the fractions, which is 40 (the least common multiple of 14 and 5). Then we convert both fractions to have the same denominator:

12/14 * (40/40) = 48/56
8/5 * (8/8) = 64/40

Now we add the converted fractions:

48/56 + 64/40 = (48*40 + 64*56) / (56*40) = 1920/2240

To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 8:

1920/2240 = 240/280

### Answer: 240/280 yards of fabric are needed in total.

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?

Mistral 7B:

  Reasoning: The total acreage of pine trees is 5/4 acre, and the total acreage of oak trees is 1/2 acre.
The total acreage of pine and oak trees is (5/4) + (1/2) = (5+2)/4 = 7/4 acre.
### Answer: 7/4 utschke

Expected answer: 7/4

Correct? Yes

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

Mistral 7B:

  Reasoning: First, we need to find a common denominator for the fractions. The least common multiple of 7 and 14 is 14. So, we can rewrite the fractions as:
Jake has 12/7 * (14/14) = 16/7 yards of fabric.
He also has 2/14 * (14/14) = 1/7 yards of fabric.
Combining both pieces, Jake has 16/7 + 1/7 = 17/7 yards of fabric.
### Answer: 17/7 yds.

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?

Mistral 7B:

  Reasoning: The tree produces 10/4 = <<10/4=2.5>>2.5 kg of fruit per summer.
The tree loses 12/20 = <<12/20=0.6>>0.6 kg of fruit in the winter.
The difference in kilograms of 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?

Mistral 7B:

 Reasoning: The ballerina's routine lasts 13/5 - 15/16 = <<(13/5 - 15/16)=(13*8-15*5)/40=10/40=1/4>>1/4 minutes shorter.
### Answer: 1/4 minutes

Expected answer: 133/80

Correct? No

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

Mistral 7B:

  Reasoning: Miss Daisy used 17/20 * 19/6 = <<(17/20)*(19/6)=13/12>>13/12 kg of fertilizers on her roses.
She has 19/6 - 13/12 = <<(19/6)-(13/12)=(38-26)/12=12/12=1>>1 kg of fertilizers left to use on her other flowers.
### Answer: 1

Expected answer: 139/60

Correct? No

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

Mistral 7B:

 Reasoning: The usual yearly increase in distance is 4/16 meters, which is equal to 1/4 meter. This year, there was an additional increase of 20/6 meters. To find the total change in distance this year, we add the usual yearly increase and the additional increase:

Total change = (1/4) + (20/6)

To find a common denominator for the fractions, we can multiply both the numerator and denominator of the first fraction by 6 and both the numerator and denominator of the second fraction by 4:

Total change = (6/24) + (80/24)

Now, we can add the fractions:

Total change = (6+80)/24
Total change = 86/24

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

Total change = 43/12

### Answer: 43/12 utschi

Expected answer: 43/12

Correct? Yes

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?

Mistral 7B:

  Reasoning: To find the total amount of money Bob has, we need to add the amounts in both pockets.
First, let's find a common denominator for the fractions: 3 and 19 have a common multiple of 63 (the least common multiple of 3 and 19).
So, we can rewrite the fractions as:
11/3 = (63*11)/63 = 63/63 + 55/63
12/19 = (63*12)/19*3 = 110/19*3/3 = 330/19
Now, we can add the fractions:
(63/63 + 55/63) + (330/19) = (63+55)/63 + 330/19 = 118/63 + 330/19
To add the fractions, we need a common denominator, which is the least common multiple of 63 and 19. The least common multiple of 63 and 19 is 588.
So, we can rewrite the fractions as:
(118/63)*(588/588) + (330/19)*(32/32) = (118*588)/3696 + (330*32)/588
Now, we can add the numerators:
(118*588) + (330*32) = 68,864 + 10,560 = 79,424
Finally, we can find the total amount of money Bob has by multiplying the sum of the numerators by the least common multiple of the denominators:
79,424*(588/588) = 79,424
### Answer: 79,424 dollars.

Expected answer: 245/57

Correct? No

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

Mistral 7B:

 Reasoning: The shark swam 5/5 + 12/18 = <<(5/5+12/18)=(12+6)/18=18/18=1>>1 mile in the morning.
The shark swam 12/18 - 1 = <<(12-18)/18=-6/18=-1/3>>1/3 mile less in the afternoon than it did in the morning.
Since the shark swam 1 mile in the morning, it swam 1 + (-1/3) = <<1+(-1/3)=4/3>>4/3 miles in the afternoon.
The shark swam a total of 1 + 4/3 = <<1+4/3=7/3>>7/3 miles that day.
### Answer: 7/3

Expected answer: 5/3

Correct? No

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

Mistral 7B:

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

Expected answer: 7/2

Correct? Yes

Problem: 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?

Mistral 7B:

 Reasoning: The distance Max rode in the afternoon is 1/9 miles less than the distance he rode in the morning. So, the distance Max rode in the afternoon is (9/7) - (1/9) = (9/7 - 1) / 9 = 8/63 miles.
### Answer: 8/63 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?

Mistral 7B:

 Reasoning: The clown rode the unicycle for 9/8 hours, which is equivalent to 9*(8/8) = <<9*(8/8)=9>>9 hours.
She juggled for 2/10 hours, which is equivalent to 2*(10/10) = <<2*(10/10)=2>>2 hours.
In total, the clown performed for 9+2 = <<9+2=11>>11 hours.
### Answer: 11

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?

Mistral 7B:

 Reasoning: First, we add the amount of sand Timmy initially dumped into his sandbox: 7/2 + 1/2 = (7+2)/2 = 9/2 kg.
### Answer: 9/2 kg

Expected answer: 4

Correct? No

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?

Mistral 7B:

  Reasoning: To find the total amount of moon roots, we multiply the number of parts by the size of each part: 18/8 * 8 = <<18/8*8=18>>18 ounces.
To find the total amount of stardust, we multiply the number of parts by the size of each part: 11/7 * 7 = <<11/7*7=11>>11 ounces.
The wizard used a total of 18+11 = <<18+11=29>>29 ounces of ingredients to prepare the potion.
### Answer: 29 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?

Mistral 7B:

 Reasoning: First, we need to convert both fractions to the same denominator (10) to add them together. To do this, we multiply both the numerator and denominator of the first fraction by 2 (since 10*2 = 20, the denominator of the second fraction), and both the numerator and denominator of the second fraction by 5 (since 10*5 = 50, a common multiple of both denominators). This gives us 3/10 * 2 = 6/20 and 16/20 * 5 = 80/20.

Now we can add the two fractions: 6/20 + 80/20 = 86/20.

To convert this mixed number to a fraction, we multiply the whole number part (8) by the denominator (20) and add the numerator (6). This gives us 8*20 + 6 = 166.

Finally, we convert the fraction to a decimal by dividing the numerator (166) by the denominator (20), which gives us 166/20 = 8.3. However, since we are asked for the total distance in miles, we should round up to the nearest whole number.

### Answer: 9 miles.

Expected answer: 11/10

Correct? No

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

Mistral 7B:

 Reasoning: The first machine makes 4/14 of a chair every hour, which is equivalent to 4/14 \* 14 = <<4/14*14=4>>4 chairs per hour.
The second machine makes 20/4 = <<20/4=5>>5 chairs per hour.
Together, both machines make 4 + 5 = <<4+5=9>>9 chairs per hour.
### Answer: 9

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?

Mistral 7B:

 Reasoning: First, we need to find a common denominator for the fractions 2/4 and 7/10. The least common multiple of 4 and 10 is 20. So, we can rewrite the fractions as 5/20 and 14/20.
Now, we can add the fractions: (5/20) + (14/20) = 19/20.
### Answer: 19/20 miles.

Expected answer: 6/5

Correct? No

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

Mistral 7B:

  Reasoning: To find the amount of milk in the first bottle, we can simplify the fraction to 4/9 gallons. To find the amount of milk in the second bottle, we can simplify the fraction to 9/4 gallons.
Lisa has 4/9 + 9/4 = <<(4/9)+(9/4)=(36+9)/36=45/36=1.25>>1.25 gallons of milk in total.
### Answer: 1.25 utschodki

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?

Mistral 7B:

 Reasoning: The tree grows 1/10 of its height every month, so the growth due to normal growth is 1/10 of the current height. Let's denote the current height of the tree as H.

The tree has grown an additional 12/6 feet due to the fertilizer, which is equivalent to 12/3 feet.

The total growth this month is the sum of the growth due to normal growth and the growth due to the fertilizer:

Total growth = (1/10 \* H) + (12/3)

Since we don't know the current height of the tree, we can't find the exact growth. However, we can express the growth as a fraction of the current height:

Total growth as a fraction of the current height = (1/10 + 12/3)

### Answer: The total growth this month is (1/10 + 12/3) times the current height.

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?

Mistral 7B:

 Reasoning: The area of the first tent is 13/11 acres, and the area of the second tent is 8/20 acres. To find the total area, we need to add the areas of both tents.

First, we need to find a common denominator for the fractions. The least common multiple of 11 and 20 is 220. So, we can rewrite the fractions as:

Area of the first tent = (13/11) * (220/220) = 13/11
Area of the second tent = (8/20) * (220/220) = 8/20

Now, we can add the areas:

Total area = Area of the first tent + Area of the second tent = (13/11) + (8/20)

To add the fractions, we need a common denominator, which is 220. So, we can rewrite the fractions as:

Total area = (13*10/11*220) + (8*11/20*220) / (11*220) + (20*10/20*220) = (130/22) + (88/22) = (130+88)/22 = 218/22

### Answer: 218/22 ≈ 9.864 (rounded to four decimal places)

Expected answer: 87/55

Correct? No

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

Mistral 7B:

 Reasoning: First, we need to find the distance in km to the North. To do this, we need to convert the fraction (15 / 3) to a decimal by multiplying both the numerator and denominator by the same number, which is the least common multiple of 3 and 15, which is 15. So, (15 / 3) * (5) = 75/3 = 25.

Now, we have the coordinates (17/20, 25) in km. To find the total distance, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the diagonal distance) is equal to the sum of the squares of the other two sides.

In this case, the horizontal distance is 17/20, and the vertical distance is 25. So, the square of the horizontal distance is (17/20)^2, and the square of the vertical distance is 25^2.

Adding these two squares gives us the square of the total distance: (17/20)^2 + 25^2.

To find the total distance, we take the square root of the result: sqrt((17/20)^2 + 25^2).

### Answer: sqrt((17/20)^2 + 25^2)

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?

Mistral 7B:

  Reasoning: First, we need to find the amount of firewood Sarah collected in pounds. Since 11/20 is equivalent to 11/20 \* 1 (since 1 pound = 1), we have 11/20 pounds.
Next, we find the amount of firewood Alex collected in pounds. Since 9/7 is not a fraction that can be simplified, we leave it as it is.
Now, we add the amounts of firewood they collected: (11/20) + (9/7) = (11/20 + 9/7)
To add these fractions, we need a common denominator. The least common multiple of 20 and 7 is 140. So, we multiply the numerator of the first fraction by 7/20 and the numerator of the second fraction by 20/7 to get the same denominator:
(11/20) \* (7/7) + (9/7) \* (20/20) = (77/140) + (180/140)
Now, we add the fractions: (77+180)/140 = 257/140
### Answer: 257/140 istrzostво 1.8375 pounds (rounded to four decimal places)

Expected answer: 257/140

Correct? Yes

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?

Mistral 7B:

 Reasoning: First, let's find out how many miles Captain Bill sailed north during the first part of his journey: 19/5 miles.
Next, let's find out how many miles Captain Bill sailed north during the second part of his journey: 12/15 miles.
To find the total distance sailed north, we add the distances from both parts of the journey: (19/5) + (12/15).
To add these fractions, we need a common denominator, which is 30. So, we convert the fractions to have a common denominator:
(19*6/30) + (12*2/30) = (114/30) + (24/30) = (138/30)
### Answer: 138/30 or 4.6 miles (rounded to two decimal places)

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?

Mistral 7B:

  Reasoning: To find the total weight of the two types of meat per sandwich, we add the weight of the ham and the weight of the turkey.
Total weight = (19/17) + (9/4)
To add the fractions, we find a common denominator, which is 68 (the least common multiple of 17 and 4).

(19/17) * (4/4) + (9/4) * (17/17) = (76/68) + (63/68)
Add the numerators: 76 + 63 = 139
Add the denominators: 68 + 68 = 136

Total weight per sandwich = 139/136
### Answer: 139/136 istrzostво 1.35 (rounded to two decimal places)

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?

Mistral 7B:

 Reasoning: The extension added 8/11 meters to the sleeping bag, which was originally 18/19 meters long. So, the total length of the sleeping bag now is (18/19 + 8/11) meters.
To find a common denominator for the fractions, we can multiply the least common multiple of the denominators (18 and 11) by 1. The least common multiple of 18 and 11 is 198, so we multiply both fractions by 198/198.
(18/19 * 198/198) + (8/11 * 198/11) = (3636/1980) + (1592/1980) = (3636+1592)/1980 = 5228/1980
### Answer: 5228/1980 meters

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?

Mistral 7B:

 Reasoning: First, we find out how many gallons of water Sarah added in the second step.
8/2 = 4 gallons

Now, we add the initial amount of water (10/13 gallons) and the amount added in the second step (4 gallons).
(10/13) + 4 = (10+56)/13 = 66/13 gallons
### Answer: 66/13 utschke

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?

Mistral 7B:

 Reasoning: Mandy used 1/4 KG of apples, which is equivalent to 9/8 KG (since 1/4 = 9/32 and 32/32 = 1 and 8/32 = 1/4).
To find out how many apples Mandy has left, we subtract the amount she used from the total amount she had: 9/2 - 9/8 = 45/16 KG.
### Answer: 45/16 kfreeze

Mandy has 45/16 KGs of apples left.

Expected answer: 17/4

Correct? No

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?

Mistral 7B:

 Reasoning: First, let's find the common denominator for the fractions: 7*3 = 21.
Then, convert both fractions to have the same denominator: 12/7 becomes 12*3/21 = 12/7 and 3/9 becomes 3*2/9*3 = 6/27.
Now, add the fractions: (12/7) + (6/27) = (12*4 + 6)*1/27 = 48/27.
Finally, convert the mixed fraction to an improper fraction: 48/27 + 1 = 49/27.
### Answer: 49/27  eller 1 11/27 hours.

Expected answer: 43/21

Correct? No

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

Mistral 7B:

 Reasoning: Peggy swam a total of 5/4 - 1/12 = <<(5/4 - 1/12) = (15 - 1) / 12 = 14/12 = 7/6>>7/6 miles before resting.
Since Peggy is now resting, she is still 7/6 miles away from her family.
### Answer: 7/6 miles

Expected answer: 7/6

Correct? Yes

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?

Mistral 7B:

 Reasoning: To find the total area, we add the areas of both parts of the field.
The area of the 4-acre part is 4 acres.
The area of the 11/12-acre part is 11/12 of an acre, which is equivalent to 11/12 \* 1 acre = 11/12 + 1 = 13/12 acres.
The total area is 4 acres + 13/12 acres = <<4+13/12=27/12>>27/12 acres.
### Answer: 27/12 utschke

Expected answer: 59/12

Correct? No

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

Mistral 7B:

  Reasoning: To find the total amount of fabric used, we add the amount of red fabric to the amount of blue fabric.
Total fabric used = (11/4) + (5/17)
To add fractions with different denominators, we find a common denominator, which in this case is 4*17 = 68.
We can rewrite the fractions as:
(11/4) = (11*17)/(4*17) = 117/68
(5/17) = (5*4)/(17*4) = 20/68
Now we can add the fractions:
Total fabric used = (117/68) + (20/68) = (117+20)/68 = 137/68
### Answer: 137/68  vessio137/68

Expected answer: 207/68

Correct? No

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

Mistral 7B:

  Reasoning: Jacob used 11/2 * 5/16 = <<(11/2)*(5/16)=55/32>>55/32 feet of wire.
The remaining wire is 11/2 - 55/32 = <<(11/2)-(55/32)=(165-55)/32=110/32>>110/32 feet.
### Answer: 110/32  feet

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?

Mistral 7B:

 Reasoning: Samantha uses 17/14 fluid ounces in one week, which leaves her with 4 - (17/14) fluid ounces. To find the remaining amount, we first need to find a common denominator for 4 and 14, which is 14. Then, we multiply both the numerator and denominator of the fraction used by 1 (14/14) to make it easier to subtract:

14*(4 - (17/14)) = 56 - 17 = <<56-17=39>>39 fluid ounces.
### Answer: 39 fluid ounces.

Expected answer: 39/14

Correct? No

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

Mistral 7B:

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

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?

Mistral 7B:

 Reasoning: To find the total hours of rainfall, we add the hours of the first rainfall and the hours of the second rainfall.
First rainfall: 4/13 hours
Second rainfall: 11/5 hours
Total rainfall: (4/13) + (11/5) = (4*5 + 11*13)/(13*5) = 20/5 + 132/5 = 25 + 26.4 = 51.4 hours
### Answer: 51.4 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?

Mistral 7B:

 Reasoning: The first cut was 10/12 yards, which is equivalent to 5/6 yards (since 10/12 = 5/6). The second cut was 10/10 yards, which is 10 yards.
Jane has cut a total of 5/6 + 10 = <<5/6+10=15.166666666666667>>15.17 yards of fabric from the blanket.
### Answer: 15.17 (rounded to two decimal places)

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?

Mistral 7B:

  Reasoning: The fairy sprinkled 11/12 + 9/10 = <<(11/12+9/10)=(132+90)/60=222/60>>222/60 oz of magic dust.
### Answer: 222/60 ounces

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?

Mistral 7B:

 Reasoning: The score for using 1 vowel is 3/11 and the score for using 1 consonant is 8/10.
The total score for using 1 vowel and 1 consonant is (3/11) + (8/10) = (3*8 + 11*8)/(10*11) = 24/110.
### Answer: 24/110 utsch!

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?

Mistral 7B:

 Reasoning: The original letter was 4/1 pages long.
After removing 14/9 pages, the letter is 4/1 - 14/9 = <<(4/1 - 14/9)=(36-14)/9=22/9>>22/9 pages long.
### Answer: 22/9 pages

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?

Mistral 7B:

 Reasoning: Anne painted 16/20 * 1 = <<16/20*1=8/10=0.8>>80% of the table.
Bob painted 5/20 * 1 = <<5/20*1=1/4=0.25>>25% of the table.
The total amount painted is 80% + 25% = <<80+25=105/100=1.05>>105%.
Since the total percentage cannot exceed 100%, we can conclude that the table was not completely painted.
### Answer: The table was not completely painted.

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?

Mistral 7B:

 Reasoning: The relative brightness of Alpha is 17/3, and the relative brightness of Bravo is 20/16.
To find the combined relative brightness, we add the relative brightness of both stars: (17/3) + (20/16) = (17*4 + 20*3)/12 = 68/12.
### Answer: The combined brightness of both stars is 68/12 times brighter than an average star.

Expected answer: 83/12

Correct? No

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

Mistral 7B:

  Reasoning: First, we need to find the number of kilograms for each type of apple.
For red apples: 17/20 * 1 kg/1000 = <<17/20*1/1000=0.085>>0.085 kg
For green apples: 18/8 * 1 kg/1000 = <<18/8*1/1000=0.225>>0.225 kg

Now, we add the total weight of both types of apples:
0.085 + 0.225 = <<0.085+0.225=0.31>>0.31 kg
### Answer: 0.31 kg

Expected answer: 31/10

Correct? No

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

Mistral 7B:

 Reasoning: The bus traveled 12/20 + 12/12 = <<12/20+12/12=3/5+1=11/5>>11/5 miles in total.
### Answer: 11/5 utschke12345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345

Expected answer: 8/5

Correct? No

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

Mistral 7B:

 Reasoning: In the first hour, the shark swims 3/9 miles.
In the second hour, the shark swims 13/5 miles.
The total distance the shark swims in two hours is (3/9 + 13/5) miles.
To find the common denominator, we can multiply 9 by 5 to get 45.
So, the total distance the shark swims in two hours is (3*5/45 + 13*9/45) miles.
Simplifying the fraction, we get (15/45 + 117/45) miles.
Simplifying further, we get (132/45) miles.
### Answer: 132/45  или 3 2/9 miles.

Expected answer: 44/15

Correct? Yes

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?

Mistral 7B:

 Reasoning: To find the least common multiple (LCM) of 17 and 12, we list the multiples of each number and find the smallest number that appears in both lists.

Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561, 578, 595, 612, 629, 646, 663, 680, 697, 714, 731, 748, 765, 782, 799, 816, 833, 850, 867, 884, 901, 918, 935, 952, 969, 986, 1003, 1020, 1037, 1054, 1071, 1088, 1105, 1122, 1139, 1156, 1173, 1190, 1207, 1224, 1241, 1258, 1275, 1292, 1309, 1326, 1343, 1360, 1377, 1394, 1411, 1428, 1445, 1462, 1479, 1496, 1513, 1530, 1547, 1564, 1581, 1598, 1615, 1632, 1649, 1666, 1683, 1699, 1716, 1733, 1750, 1767, 1784, 1801, 1818, 1835, 1852, 1869, 1886, 1903, 1920, 1937, 1954, 1971, 1988, 2005, 2022, 2039, 2056, 2073, 2090, 2107, 2124, 2141, 2158, 2175, 2192, 2209, 2226, 2243, 2260, 2277, 2294, 2311, 2328, 2345, 2362, 2379, 2396, 2413, 2430, 2447, 2464, 2481, 2498, 2515, 2532, 2549, 2566, 2583, 2600, 2617, 2634, 2651, 2668, 2685, 2702, 2719, 2736, 2753, 2770, 2787, 2804, 2821, 2838, 2855, 287

Expected answer: 7/6

Correct? No

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

Mistral 7B:

 Reasoning: In the morning, the fireplace burns 12/17 * 1 = <<12/17*1=0.7058823529411765>>0.7058823529411765 cord of wood.
In the evening, the fireplace burns 8/19 * 1 = <<8/19*1=0.4210526315789474>>0.4210526315789474 cord of wood.
The total cord of wood burned in a day is 0.7058823529411765 + 0.4210526315789474 = <<0.7058823529411765+0.4210526315789474=1.1269359845201235>>1.1269359845201235 cord of wood.
### Answer: 1.1269359845201235

Expected answer: 364/323

Correct? No

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

Mistral 7B:

  Reasoning: To find the total length of the flight, we need to add the lengths of both segments.
First segment length = 18/19 miles
Second segment length = 9/17 miles
Total flight length = (18/19) + (9/17)
To add fractions with different denominators, we need to find a common multiple of the denominators. The least common multiple (LCM) of 19 and 17 is 182.
We can convert both fractions to have 182 as their common denominator:
(18/19)*(182/182) + (9/17)*(182/17) = (324/182) + (54/182)
Now, we can add the fractions:
(324+54)/182 = 378/182
To find the simplified fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 6:
(378/182) = (63/30)
### Answer: 63/30  oder 2 1/10 miles (when converted to mixed fraction)

Expected answer: 477/323

Correct? No

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

Mistral 7B:

  Reasoning: To find the total distance, we need to add the distances between each pair of cities.
First, convert the fractions to a common denominator (10*15 = 150).
13/10 * (150/15) + 14/15 * (150/10) = (13*150 + 14*100) / 150 = 1950/150
### Answer: 195/15 or 13 inches

Note: The question seems to have a mistake, as the total distance measured should be greater than the sum of the individual distances. I'm assuming the question is asking for the total distance in terms of the fractional units provided.

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?

Mistral 7B:

 Reasoning: The initial speed of the balloon is 13/6 feet per second. After the gust of wind, its speed increases by 3/16 feet per second. To find the new speed, we add the increase to the initial speed.
New speed = Initial speed + Increase = (13/6) + (3/16)
To add the fractions, we find a common denominator, which is 48 (the least common multiple of 6 and 16).
(13/6) + (3/16) = (224/288) + (28/288) = (252/288)
To simplify the fraction, we divide both the numerator and the denominator by their greatest common divisor, which is 28.
(252/288) / (28/28) = 9/8
### Answer: 9/8 utsch!

Expected answer: 113/48

Correct? No

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

Mistral 7B:

  Reasoning: Scarlett uses 16/10 \* 1/20 = <<(16/10)*(1/20)=(160/1000)=(4/25)>>4/25 gallons for the small art project.
Scarlett will have 16 - (4/25) = <<16-(4/25)=(124/25)>>124/25 gallons of red paint left.
### Answer: 124/25 utsch!

Expected answer: 31/20

Correct? No

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?

Mistral 7B:

  Reasoning: Susie eats 12*(2/5) = <<12*(2/5)=2.4>>2.4 chocolate bars. Since we cannot eat a fraction of a chocolate bar, we round down to the nearest whole number. So, Susie eats 2 chocolate bars.
There are 12-2 = <<12-2=10>>10 chocolate bars left in the box.
### Answer: 10

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?

Mistral 7B:

 Reasoning: The plane descends by 10/15 of a mile, which is equivalent 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?

Mistral 7B:

 Reasoning: To find the total distance the child slid, we need to add the lengths of both slides.
First, let's convert the fractions to a common denominator, which is 36 (LCM of 19 and 4).
6/19 * (36/36) + 17/4 * (9/9) = 12 + 13.5 = <<12+13.5=25.5>>25.5 meters
### Answer: 25.5 utschke

I apologize for the typo in my previous response. The correct answer is 25.5 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?

Mistral 7B:

 Reasoning: In the early morning, the fireplace burns 4/15 cords per hour.
In the late night, the fireplace burns 14/15 cords per hour.
In one hour, the fireplace burns (4/15 + 14/15) cords = (18/15) cords = <<18/15=1.2>>1.2 cords.
### Answer: 1.2 cords

Expected answer: 6/5

Correct? No

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?

Mistral 7B:

 Reasoning: The alien travelled 9/20 \* 1 light year + 11/7 \* 1 light year.
To find the common denominator, we can multiply the least common multiple of 20 and 7, which is 140.
So, the alien travelled (9/20 \* 140) / 140 + (11/7 \* 140) / 140.
Simplifying the fractions, we get (9/20 + 11/7) / 140.
To find the least common multiple of 20 and 7, we can list the multiples of 20 and 7:
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720, 740, 760, 780, 800, 820, 840, 860, 880, 900, 920, 940, 960, 980, 1000, 1020, 1040, 1060, 1080, 1100, 1120, 1140, 1160, 1180, 1200, 1220, 1240, 1260, 1280, 1300, 1320, 1340, 1360, 1380, 1400, 1420, 1440, 1460, 1480, 1500, 1520, 1540, 1560, 1580, 1600, 1620, 1640, 1660, 1680, 1700, 1720, 1740, 1760, 1780, 1800, 1820, 1840, 1860, 1880, 1900, 1920, 1940, 1960, 1980, 2000, 2020, 2040, 2060, 2080, 2100, 2120, 2140, 2160, 2180, 2200, 2220, 2240, 2260, 2280, 2300, 2320, 2340, 2360, 2380, 2400, 2420, 2440, 2460, 2480, 2500, 2520, 2540, 2560, 2580, 2600, 2620, 2640, 2660, 2680, 2700, 2720, 2740, 2760, 2780, 2800, 2820, 2840, 2860, 2880, 2900, 2920, 2940,

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?

Mistral 7B:

 Reasoning: First, we need to find out how much of a cucumber Bob has in total from the two parts.
10/2 + 1/7 = (10*7 + 2*7)/14 = 70/14 = 5 1/14 cucumbers.
Since a whole cucumber is 1, Bob has 5 cucumbers and a remaining fraction of 1/14 of a cucumber.
### Answer: 5 1/14 cucumbers.

Expected answer: 36/7

Correct? No