Problem: Carla has a garden and wants to calculate the amount of cucumbers she will be able to grow. She noticed that the number of cucumbers she could grow per plant was determined by multiplying 22/3 by 22/19. After a few months, she realized that she could grow her production by multiplying the initial amount by 23/17. How many cucumbers is she expecting to grow per plant after adjusting her production method?

GPT-3.5 Turbo:

First, we calculate the initial amount of cucumbers per plant: (22/3) * (22/19) = 484/57.

Then, we calculate the new amount of cucumbers per plant after adjusting the production method: (484/57) * (23/17) = 23252/969.

Therefore, Carla is expecting to grow 23252/969 cucumbers per plant after adjusting her production method.
### Answer: 23252/969.

Expected answer: 11132/969

Correct? No

Problem: Pierre has 19/4 kg of grapes. One afternoon, he ate 7/25 kg of them. In the evening, his mother gave him 30/9 kg more grapes. How many kilograms of grapes does Pierre have now?

GPT-3.5 Turbo:

To find out how many kilograms of grapes Pierre has now, we need to calculate the total amount of grapes he has after eating some and receiving more.

Pierre ate 7/25 kg of grapes, so he has 19/4 - 7/25 = 95/25 - 28/25 = 67/25 kg of grapes left.

His mother gave him 30/9 kg more grapes, so he now has 67/25 + 30/9 = 603/225 + 750/225 = 1353/225 kg of grapes.

### Answer: 1353/225 kg of grapes.

Expected answer: 2341/300

Correct? No

Problem: King Arthur is calculating the costs for restoring his castle. The wall repairs cost 26/22 of his castle's annual budget. Meanwhile, the moat renovations cost an additional 4/29 of the budget. Finally, installing new defensive catapults takes up an 11/3 portion of the budget. How much (expressed as a fraction of the castle's annual budget) has King Arthur spent on these projects in total?

GPT-3.5 Turbo:

To find the total fraction of the castle's annual budget spent on the projects, we add the fractions for each project: 26/22 + 4/29 + 11/3.

First, we need to find a common denominator for the fractions: 22, 29, and 3 have a common multiple of 22*29*3 = 1914.

Converting each fraction to have a denominator of 1914:
26/22 = (26*87)/(22*87) = 2262/1914,
4/29 = (4*66)/(29*66) = 264/1914,
11/3 = (11*638)/(3*638) = 6998/1914.

Adding the fractions together: 2262/1914 + 264/1914 + 6998/1914 = 9524/1914.

Therefore, King Arthur has spent 9524/1914 of his castle's annual budget on these projects in total.
### Answer: 9524/1914.

Expected answer: 4772/957

Correct? No

Problem: A giraffe at the local zoo has a peculiar eating habit. When it is fed 25/19 lbs of acacia leaves, it eats 30/26 times more than what it usually does in a day. If the zoo calculates the weekly feeding amount by multiplying the daily intake by itself (making the result "weekly feeding amount squared") and then multiplying that with the regular daily intake, how many pounds of acacia leaves should they prepare for the giraffe for a week? Calculate ((25 / 19) * (30 / 26))^2 * ((25 / 19) * (30 / 26)) and provide your answer.

GPT-3.5 Turbo:

Given:
Daily intake = 25/19 lbs
Increased intake = 30/26 * (25/19) = 750/494 * 25/19 = 18750/9386 lbs
Weekly feeding amount squared = (18750/9386)^2 = 351562500/88090676
Weekly feeding amount = (25/19) * (30/26) = 750/494 * 25/19 = 18750/9386 lbs
Total weekly feeding amount = (351562500/88090676) * (18750/9386) = 6562500000/83082216 ≈ 78.91 lbs

### Answer: 78.91 lbs.

Expected answer: 52734375/15069223

Correct? No

Problem: Lara wants to make a necklace. The necklace requires (11/3) feet of yarn. She also wants to add smaller beads which will extend the length of the necklace by (8/30) feet. How many feet of materials will Lara need to make the necklace?

GPT-3.5 Turbo:

Reasoning: Lara needs (11/3) + (8/30) = (110/30) + (8/30) = (118/30) = 3.9333... feet of materials to make the necklace.
### Answer: 3.9333... feet.

Expected answer: 59/15

Correct? No

Problem: Two planes depart from an airport at the exact same time. Plane A is flying at a speed of 24/11 miles per minute and Plane B is flying at a speed of 26/27 miles per minute. How much farther (in miles) did Plane A travel than Plane B after exactly one minute, assuming they keep flying at a stable speed? Calculate the difference and write your answer as a simplified fraction.

GPT-3.5 Turbo:

To find the distance each plane traveled in one minute, we multiply their speeds by 1 minute:

Plane A: 24/11 miles/minute * 1 minute = 24/11 miles
Plane B: 26/27 miles/minute * 1 minute = 26/27 miles

To find the difference in distance traveled by Plane A and Plane B, we subtract the distance traveled by Plane B from the distance traveled by Plane A:

(24/11) - (26/27) = (24/11) - (26/27)
To subtract these fractions, we need a common denominator, which is 11*27 = 297:

(24/11) - (26/27) = (24/11)*(27/27) - (26/27)*(11/11)
= (648/297) - (286/297)
= (648 - 286) / 297
= 362/297

Therefore, Plane A traveled 362/297 miles farther than Plane B after one minute.
### Answer: 362/297.

Expected answer: 362/297

Correct? Yes

Problem: In the wild, an adult bear eats about 14/7 pounds of fish per day. A young bear eats about 25/13 pounds of fish per day. Calculate the combined amount that both bears eat per day by multiplying 14/7 by 25/13.

GPT-3.5 Turbo:

To find the combined amount that both bears eat per day, we multiply 14/7 by 25/13:

(14/7) * (25/13) = (2) * (25/13) = 50/13.

Therefore, the combined amount that both bears eat per day is 50/13 pounds.
### Answer: 50/13 pounds.

Expected answer: 50/13

Correct? Yes

Problem: Toby plays guitar. His first song takes 12/8 hours to play and his second song takes 12/3 hours to play. How long does it take Toby to play both of his songs? Write your answer as a simplified fraction.

GPT-3.5 Turbo:

To find the total time it takes Toby to play both songs, we need to add the time it takes to play each song.

12/8 hours + 12/3 hours = (12/8 + 12/3) hours
To add these fractions, we need to find a common denominator, which is 24.

12/8 + 12/3 = (12/8)*(3/3) + (12/3)*(8/8) = 36/24 + 96/24 = 132/24

Now, we simplify the fraction 132/24 by dividing both the numerator and denominator by their greatest common factor, which is 12.

132 ÷ 12 = 11
24 ÷ 12 = 2

Therefore, 132/24 = 11/2.

### Answer: 11/2.

Expected answer: 11/2

Correct? Yes

Problem: Suppose you have 28 out of 29 chocolate bars. Then, you found 8 out of 22 more chocolate bars. What fraction represents the total chocolate bars you have now?

GPT-3.5 Turbo:

Reasoning: You have 28+8 = <<28+8=36>>36 chocolate bars now.
The total number of chocolate bars you have now is 36 out of 29+22 = 51.
So, the fraction representing the total chocolate bars you have now is 36/51.
### Answer: 36/51.

Expected answer: 424/319

Correct? No

Problem: A compass maker is creating some specialty compasses. The compass needle is made from a special material. It takes 27/26 of a pound to create one needle. If the maker is trying to produce two identical needles, how much material will he require? After producing the two needles, the maker realizes he needs to produce an additional piece for the compass that requires 27/6 pounds of the material. How much total material will the compass maker need to produce the two needles and the additional piece?

GPT-3.5 Turbo:

To produce two identical needles, the compass maker will need 27/26 * 2 = 54/26 = 27/13 pounds of material.

To produce the additional piece, the compass maker will need 27/6 pounds of material.

Therefore, the total material needed to produce the two needles and the additional piece is 27/13 + 27/6 = 54/26 + 117/26 = 171/26 pounds.

### Answer: 171/26 pounds.

Expected answer: 171/26

Correct? Yes

Problem: Liam bought a candle that burns at a rate of 6/4 inches per hour. After some time, he bought another candle that burns at a slower rate of 14/16 inches per hour. What is the total rate at which the two candles burn together?

GPT-3.5 Turbo:

To find the total rate at which the two candles burn together, we add their individual rates.

Total rate = 6/4 + 14/16
Total rate = 3/2 + 7/8
Total rate = 12/8 + 7/8
Total rate = 19/8

Therefore, the total rate at which the two candles burn together is 19/8 inches per hour.
### Answer: 19/8.

Expected answer: 19/8

Correct? Yes

Problem: Sophia has 17/20 of a dollar. Her friend gives her another 1/4 of a dollar. After some time, her brother gives her 1 dollar. How much money does Sophia have now in dollars?

GPT-3.5 Turbo:

Reasoning: Sophia has 17/20 + 1/4 = 17/20 + 5/20 = 22/20 = 1.1 dollars.
After her brother gives her 1 dollar, Sophia has 1.1 + 1 = 2.1 dollars.
### Answer: 2.1

Expected answer: 21/10

Correct? Yes

Problem: Imagine you're a music producer who is working on a new song. Your resources are divided into different sections. - First, you dedicate 16/4 hours to composing the music and another 16/29 hours to writing the lyrics. This is your initial time investment for the song (let's call it p). - Then, you spend 28/13 hours for mixing and mastering the song in addition to the initial time investment (let's call this new total time b). - Suddenly, a drummer you hired for a session uses 18/4 hours less because he finished his parts quickly. What is the final time you spent on producing the song, if your total time is expressed as (b - (18 / 4))?

GPT-3.5 Turbo:

Given:
Initial time investment (p) = 16/4 + 16/29 = 4 + 16/29 = 116/29 hours
New total time (b) = 116/29 + 28/13 = (116*13 + 28*29) / (29*13) = (1508 + 812) / 377 = 2320 / 377 hours
Final time spent on producing the song = b - (18 / 4) = 2320/377 - 18/4 = (2320*4 - 18*377) / (377*4) = (9280 - 6786) / 1508 = 2494 / 377 hours

### Answer: 2494/377 hours.

Expected answer: 1663/754

Correct? No

Problem: Monica has 21/15 dozens of cookies at her bakery shop. Later in the day, she bakes additional 29/17 dozens of cookies to add into her stock. At the end of the day, she decides to increase her total stock of cookies by a ratio of 7/5 for an upcoming cookie festival. How many dozens of cookies will Monica have for the cookie festival?

GPT-3.5 Turbo:

First, we need to find the total number of dozens of cookies Monica has initially:
21/15 + 29/17 = 1.4 + 1.7 = 3.1 dozens of cookies.

Next, we need to increase the total stock of cookies by a ratio of 7/5:
3.1 * 7/5 = 21/5 = 4.2 dozens of cookies.

### Answer: Monica will have 4.2 dozens of cookies for the cookie festival.

Expected answer: 1848/425

Correct? No

Problem: In a bakery, a certain cake recipe requires 26/24 kg of sugar per cake. If a chef starts with 28 kg of sugar, how many kilograms of sugar will they have left after making one cake and then adding 10/6 kg of sugar to their supply?

GPT-3.5 Turbo:

To make one cake, the chef will use 26/24 = 13/12 kg of sugar.
After making one cake, the chef will have 28 - 13/12 = 28 - 1.0833 = 26.9167 kg of sugar left.
After adding 10/6 = 5/3 kg of sugar to their supply, the chef will have 26.9167 + 5/3 = 26.9167 + 1.6667 = 28.5834 kg of sugar left.
### Answer: 28.5834 kg.

Expected answer: 343/12

Correct? No

Problem: On a plane trip, Emily watched a total of 16 / 4 hours of movies. During this time, she spent 6 / 3 hours watching a comedy film. How many hours did she spend watching movies other than the comedy film?

GPT-3.5 Turbo:

Reasoning: Emily spent 6/3 = <<6/3=2>>2 hours watching the comedy film.
Emily spent 16/4 = <<16/4=4>>4 hours watching movies other than the comedy film.
### Answer: 4 hours.

Expected answer: 2

Correct? No

Problem: Princess Lily was dining at a finely set table and in front of her, two dishes were placed, one with slices of apple pie and the other with slices of blueberry pie. She can eat pie slices endlessly! She ate 10 out of the 12 slices of the apple pie and 10 out of the 29 slices of the blueberry pie. How much of the pies (combined) did she eat? Represent your answer as a fraction.

GPT-3.5 Turbo:

To find the fraction of the pies Princess Lily ate, we need to add the slices of apple pie and blueberry pie she ate and divide it by the total number of slices of pie available.

Total slices of pie eaten = 10 (apple pie) + 10 (blueberry pie) = 20 slices
Total slices of pie available = 12 (apple pie) + 29 (blueberry pie) = 41 slices

Fraction of pies eaten = 20/41

### Answer: 20/41.

Expected answer: 205/174

Correct? No

Problem: Marta has a box of colored pencils. She uses 20 of the colored pencils every 11 days on her art projects. However, she only uses about 23 out of every 26 colored pencils for shading techniques. How many colored pencils does Marta use for shading in her art projects over an 11-day period? Evaluate by performing the operation (20 / 11) * (23 / 26) and write your answer as a simplified fraction.

GPT-3.5 Turbo:

First, we calculate (20 / 11) * (23 / 26):
(20 / 11) * (23 / 26) = (460 / 286) = 230 / 143.

Therefore, Marta uses 230/143 colored pencils for shading in her art projects over an 11-day period.
### Answer: 230/143.

Expected answer: 230/143

Correct? Yes

Problem: A police investigator is analyzing two evidence specimens. The first specimen has a unique property that decreases its value by 26 out of every 6 units. The second specimen decreases its value by 25 out of every 17 units. The investigator needs to find the ratio of these changes, referred to as indicator i. Additionally, he needs to figure out a set of changes in another pair of evidence specimens. The first one of this pair increases its value by 18 out of every 8 units and the second one increases its value by 17 out of every 23 units. The investigator has to find the difference between these two rates and refer to it as indicator h. He then combines these two indicators (h and i) by multiplying them to get a final evidence factor, referred to as indicator f. This will help determine the likelihood of a particular suspect’s involvement. Calculate the value of f.

GPT-3.5 Turbo:

Let's first calculate the value of indicator i:
For the first specimen, the decrease is 26 out of every 6 units, so the ratio of decrease is 26/6 = 13/3.
For the second specimen, the decrease is 25 out of every 17 units, so the ratio of decrease is 25/17.
Therefore, the ratio of changes (indicator i) is (13/3) / (25/17) = (13/3) * (17/25) = 221/75.

Now, let's calculate the value of indicator h:
For the first specimen, the increase is 18 out of every 8 units, so the ratio of increase is 18/8 = 9/4.
For the second specimen, the increase is 17 out of every 23 units, so the ratio of increase is 17/23.
Therefore, the difference between these two rates (indicator h) is (9/4) - (17/23) = (207/92) - (68/92) = 139/92.

Finally, let's calculate the final evidence factor (indicator f) by multiplying indicators h and i:
Indicator f = (221/75) * (139/92) = 30659/6900.

### Answer: The value of f is 30659/6900.

Expected answer: 30719/6900

Correct? No

Problem: In a wildlife park, there are lions and giraffes. During one particular year, the gestation period of a lioness is represented as 20/22 of a year, while a giraffe's gestation period is 15 years. Find the total gestation period of both animals together. Later in the same year, a lioness is pregnant again but this time her gestation period reduces by 15/20 of a year compared to the earlier total gestation period of both animals. How long will it take for the lioness to give birth this second time?

GPT-3.5 Turbo:

Total gestation period of both animals = 20/22 + 15 = 20/22 + 15/1 = (20/22) + (15*22/22) = (20 + 330) / 22 = 350 / 22 = 175/11 years.

Reduction in gestation period = 15/20 = 3/4 years.

New gestation period for the lioness = 175/11 - 3/4 = (175*4 - 3*11) / 44 = (700 - 33) / 44 = 667 / 44 = 1515/44 years.

### Answer: 1515/44 years.

Expected answer: 667/44

Correct? No

Problem: A rectangle's length is 30/7 meters and its width is 19/6 meters. The area of the rectangle is found by multiplying the length and the width. If a similar rectangle has an area which is 18/17 times bigger than the original rectangle, what is the area of the similar rectangle?

GPT-3.5 Turbo:

Reasoning: The area of the original rectangle is (30/7)*(19/6) = 570/42 = 285/21 square meters.
The area of the similar rectangle is 18/17 times bigger than the original rectangle, so the area of the similar rectangle is (18/17)*(285/21) = 3420/357 square meters.
### Answer: 3420/357 square meters.

Expected answer: 1710/119

Correct? No

Problem: A soap factory produces 23/8 tonnes of soap each day. One day, they decided to increase production by an extra 4/20 of a tonne. However, later that same day, they reduce the production by 19/24 of a tonne due to a sudden power cut. How many tonnes of soap does the factory produce that day after these adjustments?

GPT-3.5 Turbo:

Calculations:
Extra production = 4/20 = 1/5 tonnes
Reduced production = 19/24 tonnes

Total production = 23/8 + 1/5 - 19/24
Total production = 69/24 + 24/120 - 95/120
Total production = 69/24 + (24-95)/120
Total production = 69/24 - 71/120
Total production = 345/120 - 71/120
Total production = (345 - 71)/120
Total production = 274/120
Total production = 137/60 tonnes

### Answer: 137/60 tonnes.

Expected answer: 137/60

Correct? Yes

Problem: You have a paint mixing machine that creates specific shades of color. The machine starts by mixing 24/8 gallons of red paint. It then pours away 12/8 gallons of the mix. Let 'd' represent the amount of red paint left in the machine. Finally, the machine adds another 1/28 gallon of blue pigment to lighten the color, subtract that from 'd' to find 'x' in gallons, which is the total amount of paint. Find the value of 'x'.

GPT-3.5 Turbo:

Let's calculate the amount of red paint left in the machine after pouring away 12/8 gallons from the initial mix of 24/8 gallons:
24/8 - 12/8 = 12/8 = 1.5 gallons of red paint left (d).

Now, let's subtract the 1/28 gallon of blue pigment added to lighten the color from the amount of red paint left to find 'x':
1.5 - 1/28 = 42/28 - 1/28 = 41/28 gallons (x).

### Answer: 41/28 gallons.

Expected answer: 41/28

Correct? Yes

Problem: A banana bread recipe requires you to multiply the fractions (27 / 14) and (17 / 13) together to determine how many ounces of mashed bananas you'll need. Compute the product of these fractions and write your answer as a simplified fraction to find out how many ounces are required.

GPT-3.5 Turbo:

Reasoning: To multiply fractions, we multiply the numerators together and the denominators together. 

(27/14) * (17/13) = (27 * 17) / (14 * 13) = 459 / 182

To simplify the fraction, we find the greatest common divisor of 459 and 182, which is 1.

Therefore, the simplified fraction is 459/182.

### Answer: 459/182.

Expected answer: 459/182

Correct? Yes

Problem: Sonia uses 21/12 oz of toothpaste to brush her teeth every day. Her brother Anthony uses less toothpaste, just 6/27 oz daily. Add both quantities of toothpaste to get the total daily amount used by Sonia and Anthony. Now, suppose their mom includes an amount of toothpaste for herself to the total - she uses 3/18 oz of toothpaste daily. Add this amount to the total used by Sonia and Anthony to get the final total daily toothpaste usage for the whole family. Solve each fraction separately and give the answer as a simplified fraction.

GPT-3.5 Turbo:

To find the total daily amount of toothpaste used by Sonia and Anthony, we add their individual amounts:

Sonia: 21/12 oz
Anthony: 6/27 oz

First, we need to find a common denominator for 12 and 27, which is 108.

Converting 21/12 to have a denominator of 108:
21/12 = 63/36 = 63/36 * 3/3 = 189/108

Converting 6/27 to have a denominator of 108:
6/27 = 24/108

Adding the amounts used by Sonia and Anthony:
189/108 + 24/108 = 213/108

Now, we add the amount used by their mom, which is 3/18 oz. Converting 3/18 to have a denominator of 108:
3/18 = 18/108

Adding the total amount used by the whole family:
213/108 + 18/108 = 231/108

### Answer: 231/108.

Expected answer: 77/36

Correct? Yes

Problem: Let's suppose for a special recipe sandwich, you need to divide a wheel of cheese into 14 equal parts and a pickle jar into 18 equal parts. To make one special sandwich, you need 21 parts of the wheel of cheese and 7 parts from the pickle jar. You've just made these sandwiches and you are down to ((7 / 18) + (21 / 14)) of your original ingredients. Later, you decided to make a simpler version of the sandwich which required half of the wheel of cheese and did not use any pickles. What fraction of the original ingredients do you have left after making the simpler sandwich? Calculate the answer by subtracting (2 / 4) from the fraction you had after making the first sandwich.

GPT-3.5 Turbo:

First, let's calculate the fraction of the original ingredients left after making the first sandwich:

(7/18) + (21/14) = (49/126) + (27/126) = 76/126 = 38/63

Now, let's calculate the fraction of the original ingredients left after making the simpler sandwich:

(38/63) - (2/4) = (38/63) - (31/63) = 7/63

### Answer: 7/63

Expected answer: 25/18

Correct? No

Problem: A window washer needs to clean two windows in a large building. The first window is 15/6 meters tall while the other one is 7/16 meters tall. How tall are the windows in total?

GPT-3.5 Turbo:

To find the total height of the windows, we need to add the heights of the two windows.
Height of the first window = 15/6 meters = 2.5 meters
Height of the second window = 7/16 meters
Total height of the windows = 2.5 + 7/16 = 2.5 + 0.4375 = 2.9375 meters
### Answer: The total height of the windows is 2.9375 meters.

Expected answer: 47/16

Correct? Yes

Problem: Jan is mixing some fruit juices for a party. She mixes 16/6 liters of apple juice with 20/12 liters of orange juice. To add some tartness, she also adds 2/3 liters of cranberry juice. How many liters of juice does she have in total?

GPT-3.5 Turbo:

To add the apple juice and orange juice, we need to find a common denominator for 6 and 12, which is 12. 

16/6 liters of apple juice is equivalent to 32/12 liters.
20/12 liters of orange juice remains the same.

Adding the apple juice and orange juice, we get 32/12 + 20/12 = 52/12 liters.

Adding the cranberry juice, we get 52/12 + 2/3 = 52/12 + 8/12 = 60/12 liters.

### Answer: 60/12 liters.

Expected answer: 5

Correct? No

Problem: In a puzzle game, each level gives you 4/3 points. If you have played 13/10 of these levels, how many points have you earned? Standardize your response as a simplified fraction.

GPT-3.5 Turbo:

Reasoning: Each level gives 4/3 points, so playing 13/10 levels gives 13/10 * 4/3 = 52/30 = 26/15 points earned.
### Answer: 26/15.

Expected answer: 26/15

Correct? Yes

Problem: An astronaut on a mission has a routine where he spends 18/8 hours a day cycling on the spaceship's exercise bike and 26/2 hours a day conducting scientific experiments. The total amount of time spent on these activities in a day makes up what he calls his "work". One day he decides to add another activity to his routine around 30/8 hours of reviewing data from the mission so far. He adds this time to his previous "work" routine. How many hours does the astronaut spend on his whole daily routine now?

GPT-3.5 Turbo:

Reasoning: The astronaut spends 18/8 + 26/2 = 9 + 13 = 22 hours on his routine activities before adding the data review.
After adding the data review, he spends 22 + 30/8 = 22 + 15/4 = 88/4 + 15/4 = 103/4 = 25.75 hours on his whole daily routine.
### Answer: 25.75 hours.

Expected answer: 19

Correct? No

Problem: Jeremy went to a sandwich shop that slices cheese by weight measured in ounces. He ordered slices of cheese that weighed 30/9 ounces in total. However, upon weighing, he found that there was 17/22 ounces less cheese than he requested. Calculate how much cheese he actually received. Use the equation 'd = n - (17 / 22)' to find the answer.

GPT-3.5 Turbo:

Reasoning: Given that the total weight of cheese Jeremy ordered is 30/9 ounces, we can simplify this to 10/3 ounces. Using the equation 'd = n - (17 / 22)', where d is the actual weight of cheese Jeremy received, and n is the weight of cheese Jeremy ordered, we substitute n = 10/3 into the equation to get d = 10/3 - 17/22. To subtract these fractions, we need a common denominator, which is 66. Therefore, d = (10*22 - 3*17) / 66 = (220 - 51) / 66 = 169 / 66 = 13/6 ounces.

### Answer: 13/6 ounces.

Expected answer: 169/66

Correct? No

Problem: Sophia is a researcher who studies sunglasses. She was examining a batch of sunglasses and trying to calculate the average light blocking efficiency. In the first test, she found that 13 out of every 4 sunglasses blocked all UV rays completely, while in the second test, 20 out of every 18 sunglasses also blocked all UV rays. Sophia decided to add these numbers to her total. Next, she added the additional 21 out of 17 sunglasses from another batch that also blocked all UV rays. Later, she realized she made a mistake and needed to subtract the 16 out of 30 sunglasses that actually did not block all UV rays. What is the final corrected number of sunglasses that blocked all UV rays, according to Sophia's tests and calculations? Please give your answer as a simplified fraction.

GPT-3.5 Turbo:

Let's calculate the total number of sunglasses that blocked all UV rays according to Sophia's tests and calculations:

From the first test: 13 out of every 4 sunglasses blocked all UV rays.
From the second test: 20 out of every 18 sunglasses blocked all UV rays.
From the third batch: 21 out of every 17 sunglasses blocked all UV rays.

Total number of sunglasses that blocked all UV rays = 13/4 + 20/18 + 21/17 = (663 + 80 + 84) / (4*18*17) = 827 / 1224.

Now, let's subtract the sunglasses that did not block all UV rays: 16 out of every 30 sunglasses.

Total number of sunglasses that blocked all UV rays after correction = 827/1224 - 16/30 = (827*30 - 16*1224) / (1224*30) = (24810 - 19632) / 36720 = 5178 / 36720 = 863 / 6120.

### Answer: 863/6120.

Expected answer: 15493/3060

Correct? No

Problem: Shawn is making sandwiches for a picnic. The recipe for the sandwiches requires different amounts of mayonnaise and sandwich spread. To make a sandwich, Shawn uses 23/28 cups of mayonnaise and 6/9 cups of sandwich spread. How many cups of these two ingredients does Shawn use in total to make a sandwich? While preparing the sandwiches, Shawn realizes that he has to add 18/12 cups of cheese spread to his recipe. Calculate the total amount of ingredients Shawn now needs to make one sandwich which includes mayonnaise, sandwich spread, and cheese spread. Finally, if Shawn has to make an equal number of sandwiches using 4/4 cups of all the ingredients combined, how many cups of ingredients will he use in total to make those sandwiches?

GPT-3.5 Turbo:

To find the total amount of mayonnaise and sandwich spread Shawn uses to make one sandwich, we add the amounts together:

23/28 + 6/9 = 207/252 + 168/252 = 375/252 = 125/84 cups

Now, when Shawn adds 18/12 cups of cheese spread to the recipe, the total amount of ingredients needed for one sandwich becomes:

125/84 + 18/12 = 125/84 + 168/84 = 293/84 cups

To make an equal number of sandwiches using 4/4 cups of all the ingredients combined, we multiply the amount needed for one sandwich by the number of sandwiches:

293/84 * 4 = 1172/84 = 293/21 cups

### Answer: 293/21 cups.

Expected answer: 251/84

Correct? No

Problem: Cassandra collected keys for a hobby. At first she had a collection equivalent to 7/6 of a key set. After she lost 1/21 of a key set, how many key sets does she have now?

GPT-3.5 Turbo:

Let's first find out how many key sets Cassandra had at first. If her collection was equivalent to 7/6 of a key set, then she had 7/6 - 1/21 = 14/12 - 1/21 = 147/126 - 6/126 = 141/126 = 47/42 of a key set.
After losing 1/21 of a key set, she now has 47/42 - 1/21 = 47/42 - 6/42 = 41/42 of a key set.
Therefore, Cassandra now has 41/42 of a key set.
### Answer: 41/42.

Expected answer: 47/42

Correct? No

Problem: A songwriter is composing a new piece. In the first section, he uses a ratio of 29 notes every 23 measures. In the second section, he uses a ratio of 19 notes every 17 measures. Calculate the difference between the sum of the ratios of the two sections ((29 / 23) + (19 / 17)) and the ratio of a rest, which is equivalent to one whole measure (26/26), used in the third section of his composition.

GPT-3.5 Turbo:

First, let's find the sum of the ratios of the first two sections:
(29/23) + (19/17) = (29*17 + 19*23) / (23*17) = (493 + 437) / 391 = 930 / 391.

Now, let's find the ratio of a rest, which is equivalent to one whole measure:
26/26 = 1.

Now, let's find the difference between the sum of the ratios of the first two sections and the ratio of a rest:
(930/391) - 1 = 930/391 - 391/391 = (930 - 391) / 391 = 539 / 391.

### Answer: 539/391.

Expected answer: 539/391

Correct? Yes

Problem: You're trying to solve a puzzle that requires you to multiply two fractions together. The fractions are 22/25 and 22/8. Calculate the product to get the answer you need to advance in the puzzle.

GPT-3.5 Turbo:

To multiply the fractions 22/25 and 22/8, we multiply the numerators together and the denominators together.

(22/25) * (22/8) = (22 * 22) / (25 * 8) = 484 / 200.

### Answer: 484/200.

Expected answer: 121/50

Correct? Yes

Problem: James is making a decorative pillow and would like to add a matching border. He needs to calculate the length of border material he will need. The pillow is 23/9 feet long. He had an additional 22/25 feet of length due to the fluffing of the pillow. The total length is then multiplied by 16/13 to account for overlap and corners. Calculate the length of border material James will need for his pillow.

GPT-3.5 Turbo:

Given that the pillow is 23/9 feet long and he had an additional 22/25 feet of length due to fluffing, the total length of the pillow is 23/9 + 22/25 = (25*23 + 9*22) / (9*25) = (575 + 198) / 225 = 773 / 225 feet.

Multiplying the total length by 16/13 to account for overlap and corners, we get (773/225) * (16/13) = (773*16) / (225*13) = 12368 / 2925 feet.

Therefore, James will need 12368/2925 feet of border material for his pillow.
### Answer: 12368/2925 feet.

Expected answer: 12368/2925

Correct? Yes

Problem: A car travels 21/4 miles every hour. One day, the car was needed to travel an extra 16/13 miles, but due to a detour, it only traveled an additional 1/21 miles. How many more miles was the car supposed to travel in total that day, given that it ran continuously at the same speed? Calculate by multiplying the additional distance needed by the average miles the car travels in an hour.

GPT-3.5 Turbo:

To find the total additional distance the car was supposed to travel, we need to multiply the additional distance needed by the average miles the car travels in an hour.

Total additional distance = (16/13 + 1/21) * 21/4
Total additional distance = (336/273 + 4/84) * 21/4
Total additional distance = (336/273 + 1/21) * 21/4
Total additional distance = (1236/273) * 21/4
Total additional distance = 4.52 * 5.25
Total additional distance = 23.76

Therefore, the car was supposed to travel an additional 23.76 miles that day.
### Answer: 23.76 miles.

Expected answer: 323/52

Correct? No

Problem: In a book publishing company, the manager has to look after various departments. The editing team takes 20/5 hours to edit a manuscript of a book, while the typesetting team needs 18/17 hours to adjust the layout of a page. Some break delay happens that results in a collective loss of 6/15 hours. After these delays and losses, the manager, to compensate, extended the working hours by the same amount of time as the initial time span of the process. On a particular day, they continue to work. What's the total extended time in hours, if you multiply the time required for the entire process and the extended time after the reduction of the lost hours with the initial total time required?

GPT-3.5 Turbo:

Given:
- Editing team time: 20/5 hours
- Typesetting team time: 18/17 hours
- Collective loss time: 6/15 hours

Total initial time required for the entire process:
20/5 + 18/17 = 4 + 18/17 = (4*17 + 18)/17 = 86/17 hours

Total extended time after the reduction of the lost hours:
6/15 hours

Total extended time in hours:
(86/17) * (6/15) = (86*6) / (17*15) = 516 / 255 = 2.02352941176 hours

### Answer: 2.02352941176 hours.

Expected answer: 34056/1445

Correct? No

Problem: Jenny plants 13/11 rows of potatoes in her garden. Each row yields approximately 21/3 bushels. If Jenny sells her yield at the farmer's market where each bushel earns her 21/15 dollars, how many dollars will she make in total by selling all her potatoes?

GPT-3.5 Turbo:

First, we need to find the total number of rows of potatoes Jenny plants: 13/11 rows.
Next, we need to find the total yield of potatoes: 13/11 rows * 21/3 bushels/row = (13*21)/(11*3) = 273/33 = 9/1 bushels.
Finally, we need to find the total amount of money Jenny will make by selling all her potatoes: 9/1 bushels * 21/15 dollars/bushel = (9*21)/(1*15) = 189/15 = 63/5 dollars.
### Answer: 63/5 dollars.

Expected answer: 637/55

Correct? No

Problem: A jeweler uses 14/28 of a kilogram of gold to craft a certain type of rings. Additionally, he uses 13/26 of a kilogram of silver to design another type of rings. What is the sum of the amount of gold and silver used by the jeweler in kilograms?

GPT-3.5 Turbo:

To find the sum of the amount of gold and silver used by the jeweler, we need to add the amounts of gold and silver used.

Amount of gold used = 14/28 = 1/2 kg
Amount of silver used = 13/26 = 1/2 kg

Sum of the amount of gold and silver used = 1/2 + 1/2 = 1 kg

### Answer: 1 kg.

Expected answer: 1

Correct? Yes

Problem: In a beehive, there are sections for honey storage and bee rearing. Each section is classified into many sub-sections. One day, the beekeeper discovered that each honey storage sub-section had (25 / 9) gallons of honey. He also found the same amount of honey in each bee rearing sub-section. If he combined the honey from both a honey storage sub-section and a bee rearing sub-section, the beekeeper would have a total quantity represented by 'p'. However, one honey storage sub-section had an additional (2 / 26) gallons of honey. So, if the beekeeper was calculating the total amount from this sub-section plus a bee rearing sub-section, the total amount of honey would be defined as 's'. What quantity of honey ('s') would the beekeeper have in total from this scenario?

GPT-3.5 Turbo:

Let's first calculate the amount of honey in each bee rearing sub-section:
Each bee rearing sub-section has 25/9 gallons of honey.

Now, let's calculate the total amount of honey when combining a honey storage sub-section and a bee rearing sub-section:
Total amount = (25/9) + (25/9) = 50/9 gallons

Next, let's calculate the total amount of honey in the specific honey storage sub-section with an additional (2/26) gallons of honey:
Total amount = (25/9) + (2/26) = (25/9) + (1/13) = (325/117) + (9/117) = 334/117 gallons

Therefore, the quantity of honey 's' that the beekeeper would have in total from this scenario is 334/117 gallons.
### Answer: 334/117 gallons.

Expected answer: 659/117

Correct? No

Problem: In prehistoric times, a herbivorous dinosaur eats 16/8 bunches of leaves per hour during the day. But at night, it only eats 6/17 bunches of leaves every hour because of reduced visibility. Calculate the total bunches of leaves the dinosaur eats in an hour if it is eating day and night.

GPT-3.5 Turbo:

To find the total bunches of leaves the dinosaur eats in an hour, we need to add the amount it eats during the day and at night.

During the day: 16/8 = 2 bunches per hour
At night: 6/17 bunches per hour

Total bunches per hour: 2 + 6/17 = 34/17 + 6/17 = 40/17 bunches per hour

### Answer: 40/17 bunches per hour.

Expected answer: 40/17

Correct? Yes

Problem: A bear ate 28/6 pounds of fish one day and 21/18 pounds the next day. On the third day, the bear ate 24/22 pounds of fish. How many total pounds of fish did the bear eat in these three days, written as a fraction?

GPT-3.5 Turbo:

To find the total amount of fish the bear ate in three days, we need to add the amounts of fish eaten each day:

28/6 + 21/18 + 24/22

First, we need to find a common denominator for the fractions. The least common multiple of 6, 18, and 22 is 66.

Rewriting the fractions with the common denominator of 66:

(28/6) * (11/11) = 308/66

(21/18) * (3/3) = 63/66

24/22 = 72/66

Adding the fractions together:

308/66 + 63/66 + 72/66 = 443/66

Therefore, the bear ate a total of 443/66 pounds of fish in three days.
### Answer: 443/66

Expected answer: 457/66

Correct? No

Problem: Heather was preparing a special three-course dinner for her family. For the first course, she had a bread recipe that required 11/17 of a cup of sugar. In addition, she baked a custard for dessert that required another 6/2 cups of sugar. As her family loves sweet dishes, she decided to increase the total quantity of sugar by a factor of 29/21. How many cups of sugar did Heather use in total?

GPT-3.5 Turbo:

To find the total quantity of sugar Heather used, we first need to find the total amount of sugar she used for the first course and dessert separately.

For the first course, she used 11/17 cups of sugar.
For the dessert, she used 6/2 = 3 cups of sugar.

The total amount of sugar she used before increasing it is 11/17 + 3 = 11/17 + 51/17 = 62/17 cups.

To increase the total quantity of sugar by a factor of 29/21, we multiply the total amount of sugar by 29/21:

(62/17) * (29/21) = (62*29) / (17*21) = 1798 / 357 = 5.03 cups.

Therefore, Heather used 5.03 cups of sugar in total.
### Answer: 5.03 cups.

Expected answer: 1798/357

Correct? No

Problem: Ms. Parker, a math teacher, was grading papers and noticed that a student did the calculation ((7 / 8) + (21 / 18)), but she didn't write down the final answer. What is the result of this calculation as a simplified fraction?

GPT-3.5 Turbo:

Reasoning: First, we simplify each fraction:
(7/8) + (21/18) = (7/8) + (7/6) = (21/24) + (28/24) = (21+28)/24 = 49/24.

### Answer: 49/24.

Expected answer: 49/24

Correct? Yes

Problem: King Arthur is planning a grand feast at his castle. He estimates that each guest will consume 15/7 gallons of water and 15/24 gallons of wine. On the other hand, the royal baker needs 26/20 gallons of milk for each of the cakes he's baking. Calculate the total amount of liquid (v) that will be consumed if the baker's requirement is multiplied by the guests' consumption (i), and then add this to the guests' consumption (v) to find the total amount of liquid (x) needed for the feast.

GPT-3.5 Turbo:

Given:
Guests' consumption (i) = 15/7 gallons of water + 15/24 gallons of wine
Baker's requirement = 26/20 gallons of milk

Calculating the total amount of liquid consumed by the guests and the baker:
v = (15/7 + 15/24) * 26/20
v = (360/168 + 105/168) * 26/20
v = 465/168 * 26/20
v = 465/42 * 13/10
v = 55/6 * 13/10
v = 715/60
v = 119/10
v = 11.9 gallons

Calculating the total amount of liquid needed for the feast:
x = v + i
x = 11.9 + 15/7 + 15/24
x = 11.9 + 360/168 + 105/168
x = 11.9 + 465/168
x = 11.9 + 55/6
x = 11.9 + 9.166...
x ≈ 21.066 gallons

### Answer: 21.066 gallons.

Expected answer: 713/112

Correct? No

Problem: Teddy is a bear who loves to play with numbers. One day, Teddy was playing with his favorite number, which just so happened to be 30/17. While playing, he saw another number, 18/15, and decided to add it to his favorite number. With this new number in mind, he then saw another, 24/13, and decided to multiply it by his new number. What is Teddy's final number?

GPT-3.5 Turbo:

First, let's add 30/17 and 18/15:
30/17 + 18/15 = (30*15 + 18*17) / (17*15) = (450 + 306) / 255 = 756 / 255 = 252 / 85

Next, let's multiply 24/13 by 252/85:
(24/13) * (252/85) = (24*252) / (13*85) = 6048 / 1105

Therefore, Teddy's final number is 6048/1105.
### Answer: 6048/1105.

Expected answer: 6048/1105

Correct? Yes

Problem: Johnny is building a scooter from scratch. He needs to drill holes into the scooter deck to attach the wheels. The size of each hole should be approximately (20/6) cm in diameter. Unfortunately, his drill bit only has a diameter of (11/21) cm. If he uses his current drill bit, he needs to drill a hole, move it over and drill again to achieve the diameter he needs. If he drills each hole exactly once with his drill bit, calculate what fraction of the desired diameter would each hole have? Don't simplify the fraction, keep as (20/6) * (11 / 21).

GPT-3.5 Turbo:

To find the fraction of the desired diameter for each hole, we multiply the ratio of the drill bit diameter to the desired diameter: (20/6) * (11/21) = (20*11) / (6*21) = 220 / 126.

### Answer: (20/6) * (11/21) = 220/126.

Expected answer: 110/63

Correct? Yes

Problem: Aaron has a small model car collection. His favorite car model takes exactly 17/10 hours to assemble. He started assembling a new car model and realized that it was simpler, taking only 12/23 hours to complete. How much less time, in hours, will the second model take than the first one? Write your answer as a simplified fraction or decimal.

GPT-3.5 Turbo:

To find how much less time the second model will take than the first one, we need to subtract the time it takes to assemble the second model from the time it takes to assemble the first model.

17/10 - 12/23 = (17*23)/(10*23) - (12*10)/(23*10) = 391/230 - 120/230 = 271/230.

Therefore, the second model will take 271/230 hours less time than the first model.
### Answer: 271/230.

Expected answer: 271/230

Correct? Yes

Problem: Carlos is very handy, and he decided to start a business making and selling chairs. He usually makes each chair using 20/15 units of wood. For a special order, he decided to design a larger, sturdier chair that uses (24/5) times (7/6) units more wood than usual. In total, how many units of wood would Carlos need to make one of these special chairs? Please give your answer in simplest form.

GPT-3.5 Turbo:

To find out how many units of wood Carlos would need to make one special chair, we first calculate the additional units of wood needed compared to the usual chair:

(24/5) * (7/6) = (24*7) / (5*6) = 168 / 30 = 56 / 10 = 28 / 5

So, Carlos would need an additional 28/5 units of wood to make one special chair. Adding this to the usual 20/15 units of wood needed for a chair:

20/15 + 28/5 = 4/3 + 28/5 = (4*5 + 28*3) / (3*5) = (20 + 84) / 15 = 104 / 15

Therefore, Carlos would need 104/15 units of wood to make one special chair.
### Answer: 104/15.

Expected answer: 104/15

Correct? Yes

Problem: Officer Davis was monitoring traffic for speeders. He was measuring the speed of cars passing by him using a radar gun. The gun showed one car was going 13/4 miles per minute. Suddenly, the car slows down and reduces his speed by 14/15 miles per minute. Officer Davis noted down the new speed of the car. Suddenly, the car increased its speed again by 30/15 miles per minute. What was the final speed of the car according to Officer Davis's radar gun?

GPT-3.5 Turbo:

To find the final speed of the car, we need to add the changes in speed to the initial speed.

Initial speed: 13/4 miles per minute
Reduction in speed: -14/15 miles per minute
Increase in speed: +30/15 miles per minute

Final speed = Initial speed + Reduction in speed + Increase in speed
Final speed = 13/4 + (-14/15) + 30/15
Final speed = 39/12 - 56/60 + 90/60
Final speed = (195 - 56 + 90) / 60
Final speed = 229/60 miles per minute

### Answer: 229/60 miles per minute.

Expected answer: 259/60

Correct? No

Problem: Jake is trying to figure out how many grapes he can get from a certain vineyard. - The vineyard can usually produce 19/2 baskets of grapes every season. However, due to weather conditions, only 19/29 of the usual amount were produced this season. How many baskets of grapes were produced this season? - But Jake isn't the only one interested in these grapes. He has to share the grapes with others. He gets to keep only 7/11 of the total amount of grapes. How many baskets of grapes does he get? - Out of the grapes that he got, Jake wants to make some grape juice. But he only uses 9/10 of his grapes to make the juice. How many baskets of grapes does he use for the juice?

GPT-3.5 Turbo:

To find the number of baskets of grapes produced this season:
Number of baskets produced = (19/2) * (19/29) = 361/58 = 6.224 baskets (approx.)

Jake gets to keep 7/11 of the total amount of grapes, so he gets:
Number of baskets Jake gets = (7/11) * 6.224 = 3.936 baskets (approx.)

Jake uses 9/10 of the grapes he got to make juice, so the number of baskets he uses for juice is:
Number of baskets for juice = (9/10) * 3.936 = 3.5424 baskets (approx.)

### Answer: Jake uses approximately 3.5424 baskets of grapes to make juice.

Expected answer: 22743/6380

Correct? No

Problem: Joel has a grape farm. One day, he picked 9/2 bushels of red grapes and 10/22 bushels of green grapes from his farm. Calculate the total number of bushels of grapes Joel picked that day.

GPT-3.5 Turbo:

To find the total number of bushels of grapes Joel picked, we need to add the amount of red grapes and green grapes he picked.

9/2 + 10/22 = 9/2 + 5/11
To add these fractions, we need to find a common denominator, which is 2*11 = 22.

9/2 + 10/22 = 99/22 + 10/22 = 109/22

So, Joel picked a total of 109/22 bushels of grapes that day.
### Answer: 109/22 bushels.

Expected answer: 109/22

Correct? Yes

Problem: A snowman is constructed by stacking two different sized snowballs on top of each other. The larger snowball at the bottom has a diameter of 17/8 feet, and the smaller snowball on top has a diameter of 1/20 feet. What is the total height of the snowman in feet when these two snowballs are stacked on top of each other?

GPT-3.5 Turbo:

Reasoning: The radius of the larger snowball is 17/8 / 2 = 17/16 feet.
The radius of the smaller snowball is 1/20 / 2 = 1/40 feet.
The total height of the snowman is 17/16 + 1/40 = 85/80 + 2/80 = 87/80 feet.
### Answer: 87/80 feet.

Expected answer: 87/40

Correct? No

Problem: In a sandbox, a child splits up 24/7 parts of the sand in a fair way. Later on, another child takes away 2/16 part of the sand. Calculate the remaining part of sand in the sandbox.

GPT-3.5 Turbo:

To split 24 parts into 7 equal parts, each part will have 24/7 = <<24/7=3.42857142857>>3.43 parts of sand.
If another child takes away 2 parts out of 16, the remaining sand will be 24 - 2 = <<24-2=22>>22 parts.
### Answer: 22.

Expected answer: 185/56

Correct? No

Problem: In the jungle, a lion ate 28/26 of a zebra in one day and 23/9 of a wildebeest the next day. How much less of the zebra did the lion eat compared with the wildebeest? Calculate your answer as a simplified fraction.

GPT-3.5 Turbo:

To find out how much less of the zebra the lion ate compared with the wildebeest, we need to find the difference between the fractions of the zebra and the wildebeest that the lion ate.

The lion ate 28/26 - 23/9 of the zebra and the wildebeest, respectively.

To subtract these fractions, we need to find a common denominator, which is the least common multiple of 26 and 9, which is 26*9 = 234.

Converting the fractions to have a denominator of 234:
28/26 = (28*9)/(26*9) = 252/234
23/9 = (23*26)/(9*26) = 598/234

Now, we can subtract the fractions:
252/234 - 598/234 = (252-598)/234 = -346/234

Simplifying the fraction:
-346/234 = -173/117

Therefore, the lion ate 173/117 less of the zebra compared with the wildebeest.
### Answer: -173/117.

Expected answer: 173/117

Correct? Yes

Problem: A chocolate factory makes a batch of chocolate by combining 14/4 kilograms of cocoa and 21/11 liters of milk for every kilogram. How many kilograms of chocolate will the factory produce by combining these ingredients? Calculate your answer to the following expression, ((14 / 4) * (21 / 11)).

GPT-3.5 Turbo:

Reasoning: To find the amount of chocolate produced by combining the ingredients, we multiply the amount of cocoa and milk per kilogram: (14/4) * (21/11) = 3.5 * 1.909 = 6.6815 kilograms.
### Answer: 6.6815

Expected answer: 147/22

Correct? No

Problem: In the tropical rainforest, there are two different species of banana trees. One species produces 12 bananas every 29 days, while another species produces 30 bananas every 10 days. If a day is chosen at random, what is the expected number of bananas that the two species together will have produced on that day? Use the formula ((12 / 29) + (30 / 10)) to calculate the answer.

GPT-3.5 Turbo:

Calculating the expected number of bananas produced by the two species together:
((12 / 29) + (30 / 10)) = (0.4138 + 3) = 3.4138.

### Answer: 3.4138.

Expected answer: 99/29

Correct? No

Problem: A giraffe needs to eat a total of 11/11 ton of acacia leaves plus 26/14 ton of grasses a day. Calculate the total ton of food the giraffe needs to eat in a day.

GPT-3.5 Turbo:

To find the total ton of food the giraffe needs to eat in a day, we add the amount of acacia leaves and grasses it needs to eat:

11/11 ton + 26/14 ton = 1 ton + 1.85714285714 tons = 2.85714285714 tons.

Therefore, the giraffe needs to eat a total of 2.85714285714 tons of food in a day.
### Answer: 2.85714285714 tons.

Expected answer: 20/7

Correct? No

Problem: A bear spends 18 hours of the day sleeping. Given that each day has 24 hours, this bear spends 18/24th of each day asleep. For 27 days of the month, the bear's activity is tracked. Assume that the bear has a regular sleeping pattern. Calculate the fraction of time the bear has spent sleeping over the 27 days assuming each month has 13 weeks. Your answer should be the result of (18 / 24) * (27 / 13). Write your answer as a decimal.

GPT-3.5 Turbo:

Calculating (18/24) * (27/13) = (3/4) * (27/13) = 81/52 ≈ 1.5577.
### Answer: 1.5577

Expected answer: 81/52

Correct? No

Problem: In a beautiful forest, the park rangers recorded that 9 out of every 14 trees were pine trees. They also noticed an exceptional occurrence where 19 out of every 2 trees were birches. If you count all the pine trees and birch trees together, what fraction of the trees in the forest are either pine or birch? Use the formula f = ((9 / 14) + (19 / 2)) to solve this.

GPT-3.5 Turbo:

Reasoning: To find the fraction of trees that are either pine or birch, we add the fractions representing the pine trees and birch trees together.
f = ((9 / 14) + (19 / 2))
f = (9 / 14) + (19 / 2)
f = (9 / 14) + (19 * 7 / 14)
f = (9 + 133) / 14
f = 142 / 14
f = 71 / 7
### Answer: 71/7

Expected answer: 71/7

Correct? Yes

Problem: On planet Zog, aliens use an interesting system to track their energy levels. At the beginning of the day, Zogorian calculates his energy level to be (14 / 2) / (23 / 17) zogs. Later in the day, after harnessing energy from their primary star, his energy level increases by (16 / 24) zogs. Calculate the Zogorian's energy level after the increase.

GPT-3.5 Turbo:

Reasoning: First, we simplify the initial energy level calculation: (14 / 2) / (23 / 17) = 7 / (23 / 17) = 7 * (17 / 23) = 119 / 23 zogs.
Then, we calculate the increase in energy level: 16 / 24 = 2 / 3 zogs.
Finally, we add the increase to the initial energy level: 119 / 23 + 2 / 3 = (119 * 3 + 23 * 2) / (23 * 3) = (357 + 46) / 69 = 403 / 69 zogs.
### Answer: 403/69 zogs.

Expected answer: 403/69

Correct? Yes

Problem: Teddy, the bear, loves to play hide and seek with his friends. One day, he decided to play a game where he hides some number of his stuffed animal friends. Teddy hides 18/11 of his friends in the forest and 8/21 of his friends at the beach. First calculate how many more friends Teddy hides in the forest than at the beach. Let's call this number 'f'. Then square 'f' to find 'n', the total number of hiding spots Teddy needs. How many hiding spots does Teddy need?

GPT-3.5 Turbo:

Calculating the number of friends Teddy hides in the forest: 18/11 * 1 friend = 18/11 friends.
Calculating the number of friends Teddy hides at the beach: 8/21 * 1 friend = 8/21 friends.
Calculating the difference in the number of friends Teddy hides in the forest and at the beach: f = 18/11 - 8/21 = 198/231 - 88/231 = 110/231.
Squaring the difference to find the total number of hiding spots Teddy needs: n = (110/231)^2 = 12100/53361.
### Answer: Teddy needs 12100/53361 hiding spots.

Expected answer: 84100/53361

Correct? No

Problem: A robot is performing a maintenance task. It starts with 25/10 units of energy. However, it quickly uses 27/23 units of energy to complete a series of complex computations. Calculate how much energy it has left.

GPT-3.5 Turbo:

To find out how much energy the robot has left, we need to subtract the energy used from the initial energy.

Initial energy = 25/10 units
Energy used = 27/23 units

Energy left = Initial energy - Energy used
Energy left = 25/10 - 27/23
Energy left = (115/46) - (60/46)
Energy left = 55/46

### Answer: 55/46 units.

Expected answer: 61/46

Correct? No

Problem: During rainy weather, a small snail moves at a snail-pace covering 17/21 of a meter in an hour. Another slightly faster snail covers 20/24 of a meter in the same time during such weather. One rainy day, the first snail started an hour earlier than the second. At the time when the second snail began, a third snail that covers 18/17 of a meter per hour also started moving. What is their total distance in meters 1 hour after all three have started moving? Compute the result using the operation ((17 / 21) + (20 / 24)) for the first two snails' distance, and multiply this result by (18 / 17) for the total distance , including the third snail.

GPT-3.5 Turbo:

First, let's calculate the total distance covered by the first two snails in 1 hour:
((17/21) + (20/24)) = (17/21 + 5/6) = (102/126 + 105/126) = 207/126

Now, let's calculate the total distance covered by all three snails in 1 hour:
(207/126) * (18/17) = (207*18) / (126*17) = 3726 / 2142 = 1863 / 1071 = 31 / 18

Therefore, the total distance covered by all three snails in 1 hour is 31/18 meters.
### Answer: 31/18.

Expected answer: 207/119

Correct? No

Problem: Johnny had 24/14 of a yard of fabric that he used to make stuffed animals. After creating a few, he found he only had 9/29 of a yard left. He then got a new type of fabric and used 15/2 times the difference of the original and remaining fabric to make more stuffed animals. How many yards of the new fabric did Johnny use?

GPT-3.5 Turbo:

First, we need to find the amount of fabric Johnny had left after making stuffed animals: 24/14 - 9/29 = 48/28 - 9/29 = (48*29 - 9*28) / (28*29) = (1392 - 252) / 812 = 1140 / 812 = 285 / 203 = 15/11 yards.
Next, we find the difference between the original fabric and the remaining fabric: 24/14 - 15/11 = 24/14 - 20/14 = 4/14 = 2/7 yards.
Finally, we calculate the amount of new fabric Johnny used: 15/2 * 2/7 = 15/7 = 2 1/7 yards.
### Answer: 2 1/7 yards.

Expected answer: 4275/406

Correct? No

Problem: In a park, there are some kids lining up for the swings. Part of the waiting line consists of 2/10 of the total number of kids in the park, while another part is made up of 21/4 kids. What is the total number of kids waiting for the swing? Add together 2/10 and 21/4 to find your answer.

GPT-3.5 Turbo:

To add 2/10 and 21/4, we need to find a common denominator. The least common multiple of 10 and 4 is 20.

Converting 2/10 to have a denominator of 20:
2/10 = (2*2)/(10*2) = 4/20

Adding 4/20 and 21/4:
4/20 + 21/4 = 4/20 + 105/20 = (4+105)/20 = 109/20

Therefore, the total number of kids waiting for the swing is 109/20.
### Answer: 109/20.

Expected answer: 109/20

Correct? Yes

Problem: An alien spacecraft has 18 fuel tanks out of a total of 30 fuel tanks filled. Each fuel tank can power the spacecraft for 22/6 hours. How many hours of power does the spacecraft currently have? Calculate (18 / 30) * (22 / 6) to find out.

GPT-3.5 Turbo:

Calculating (18/30) * (22/6) gives us (3/5) * (11/3) = 33/15 = 11/5 hours of power.
### Answer: 11/5 hours.

Expected answer: 11/5

Correct? Yes

Problem: A cat is fed twice a day. In the morning, it eats 16/12 of a can of cat food. in the evening, it eats 6/10 of a can. How much of a can in total does the cat eat in one day?

GPT-3.5 Turbo:

Reasoning: In the morning, the cat eats 16/12 = 4/3 of a can of cat food.
In the evening, the cat eats 6/10 = 3/5 of a can of cat food.
In total, the cat eats 4/3 + 3/5 = 20/15 + 9/15 = 29/15 of a can in one day.
### Answer: 29/15 of a can.

Expected answer: 29/15

Correct? Yes

Problem: A starfish laid 12 eggs in 3 nests and 11 eggs in 4 other nests. How much is the difference between the average number of eggs per nest for these two groups of nests?

GPT-3.5 Turbo:

Calculating the average number of eggs per nest for the first group: 12 eggs / 3 nests = 4 eggs per nest.
Calculating the average number of eggs per nest for the second group: 11 eggs / 4 nests = 2.75 eggs per nest.
The difference between the averages is 4 - 2.75 = 1.25.
### Answer: 1.25

Expected answer: 5/4

Correct? Yes

Problem: A monkey finds a pile of bananas and ends up eating (22 / 7) times (10 / 25) of the pile. Later, he gives (3 / 28) of the pile to his friend. How much of the pile does the monkey have left?

GPT-3.5 Turbo:

Let's first simplify the fractions:
(22/7) * (10/25) = (22/7) * (2/5) = (44/35) = 4/5
(3/28) = 3/28

The monkey has (1 - 4/5) - 3/28 = 1/5 - 3/28 = 28/140 - 15/140 = 13/140 of the pile left.

### Answer: 13/140.

Expected answer: 23/20

Correct? No

Problem: A mouse runs at a speed of 24/20 feet per second. If the mouse runs for 23/2 seconds, how many feet does the mouse run?

GPT-3.5 Turbo:

To find out how many feet the mouse runs, we multiply the speed of the mouse by the time it runs: (24/20) * (23/2) = (24*23) / (20*2) = 552 / 40 = 13.8 feet.
### Answer: 13.8 feet.

Expected answer: 69/5

Correct? No

Problem: At a party, the drinks are served in glasses that contain 29/9 ounces of beverage each. If 26/25 of them were consumed, how many ounces of beverage were consumed? Now imagine that the party goers then drink an additional 2/19 ounces of beverages. How many total ounces of beverages were consumed at the party in total?

GPT-3.5 Turbo:

To find out how many ounces of beverage were consumed, we first calculate 29/9 * 26/25 = (29*26)/(9*25) = 754/225 ounces consumed from the glasses.

Then, we add the additional 2/19 ounces consumed, so the total amount consumed is 754/225 + 2/19 = (754*19 + 2*225)/(225*19) = 14326/4275 ounces consumed in total.

### Answer: 14326/4275 ounces consumed in total.

Expected answer: 14776/4275

Correct? No

Problem: You decide to start a toothbrush collection and you add 7/15 of a new set of toothbrushes to your current collection. Suddenly, a friend gifts you 9 more sets. After grouping everything, you realized you can only fit 26/27 of them in your display case. How many sets of toothbrushes can you fit in your display case?

GPT-3.5 Turbo:

Reasoning: You added 7/15 of a set to your current collection, making a total of 7/15 + 1 = 22/15 sets.
Your friend gifted you 9 sets, so the total number of sets is 22/15 + 9 = 22/15 + 135/15 = 157/15 sets.
You can fit 26/27 * 157/15 = 26/9 sets in your display case.
### Answer: 26/9 sets.

Expected answer: 3692/405

Correct? No

Problem: Joan has a backpack which weighs 27/20 kilograms when it's empty. She adds a book which weighs 1/6 kilograms. Calculate the total weight of the backpack in kilograms now. Please write the answer as a simplified fraction.

GPT-3.5 Turbo:

Reasoning: The total weight of the backpack after adding the book is 27/20 + 1/6 = (27*3 + 20*1) / (20*3) = 81/60 + 20/60 = 101/60 kilograms.
### Answer: 101/60.

Expected answer: 91/60

Correct? No

Problem: A soda company is changing its bottle design. The new design will change the volume of the bottles so that they become (7 / 7) * (25 / 22) times larger. What will be the multiplier of the new bottle compared to the old one?

GPT-3.5 Turbo:

To find the multiplier of the new bottle compared to the old one, we multiply the fractions (7/7) and (25/22):

(7/7) * (25/22) = (1) * (25/22) = 25/22.

Therefore, the multiplier of the new bottle compared to the old one is 25/22.
### Answer: 25/22.

Expected answer: 25/22

Correct? Yes

Problem: Turtle Tilly is collecting food for the winter. She has gathered 25/9 kg of sea plants, and she then finds 8/13 kg more. In a close-by rock, she spots another food stash weighing 24/27 kg. After gobbling up these finds, Tilly stumbles upon yet another food source weighing 21/26 kg. If Tilly combines all her found food, how many kilograms does she now have in total? Answer as a simplified fraction.

GPT-3.5 Turbo:

To find the total weight of food Tilly has, we need to add up all the amounts she found:
25/9 + 8/13 + 24/27 + 21/26

First, we need to find a common denominator for all the fractions. The least common multiple of 9, 13, 27, and 26 is 702.

Rewriting the fractions with the common denominator:
(25*78)/(9*78) + (8*54)/(13*54) + (24*26)/(27*26) + (21*27)/(26*27)
= 175/702 + 104/702 + 624/702 + 567/702
= (175 + 104 + 624 + 567)/702
= 1470/702

Now, we simplify the fraction:
1470/702 = 735/351 = 245/117

Therefore, Turtle Tilly now has a total of 245/117 kg of food.
### Answer: 245/117.

Expected answer: 397/78

Correct? No

Problem: Captain Alf undertakes multi-step calculations to ensure the safe navigation of his boat. First, he calculates the difference in his current location and the distance of a nearby island. The distance to the island is 17/2 nautical miles, and his boat is currently 4/2 nautical miles away from the island. Next, Captain Alf adjusts for the tide, which he has estimated to push his boat off course by 14/9 nautical miles. He adds this to his previous calculations. Finally, when considering his fuel efficiency rated at 22/15 nautical miles per gallon, Captain Alf multiplies his adjusted distance by this rate to figure out his fuel requirements. What does Captain Alf’s final calculation come to? Use these steps and corresponding fractions to find your answer.

GPT-3.5 Turbo:

First, the difference in Captain Alf's current location and the distance of the nearby island is 17/2 - 4/2 = 13/2 nautical miles.

Next, Captain Alf adjusts for the tide by adding 14/9 nautical miles, making the total distance 13/2 + 14/9 = (117/18 + 28/18) = 145/18 nautical miles.

Finally, when considering his fuel efficiency rated at 22/15 nautical miles per gallon, Captain Alf's fuel requirements are (145/18) * (22/15) = (145*22)/(18*15) = 3190/270 = 319/27 nautical miles per gallon.

### Answer: 319/27.

Expected answer: 319/27

Correct? Yes

Problem: A forest ranger patrolled 14/3 miles of trails in the morning. In the afternoon, he patrolled 2/18 mile less than what he walked in the morning. How many miles did the forest ranger patrol in the afternoon?

GPT-3.5 Turbo:

Reasoning: The forest ranger patrolled 14/3 - 2/18 = 56/18 - 2/18 = 54/18 = <<56/18-2/18=54/18>>3 miles in the afternoon.
### Answer: 3 miles.

Expected answer: 41/9

Correct? No

Problem: Arthur practices piano for 20/21 of an hour every day. On weekends, he practices an additional 11/29 of an hour per day. How many hours in total does Arthur spend practicing the piano each day on the weekend?

GPT-3.5 Turbo:

Reasoning: Arthur practices piano for 20/21 + 11/29 = (20*29 + 11*21) / (21*29) = 590/609 of an hour each day on the weekend.
Converting 590/609 to hours, we get 590/609 hours = 0.968 hours.
### Answer: 0.968 hours.

Expected answer: 811/609

Correct? No

Problem: Lucas has a shirt store. Initially, he had 18 shirts which he divided equally among his 3 siblings. Later, he bought 27 more shirts but wanted to sell them at a higher price, so he decided to keep only 1/19 of those shirts for each sibling. How many more or fewer shirts does each sibling now have as compared to before? Calculate the difference using the expression ((18 / 3) - (27 / 19)) and find out the result.

GPT-3.5 Turbo:

Calculating the expression ((18 / 3) - (27 / 19)):
((18 / 3) - (27 / 19)) = (6 - 1.421) = 4.579.

Each sibling now has 4.579 more shirts compared to before.
### Answer: 4.579.

Expected answer: 87/19

Correct? No

Problem: A painter mixed 7 gallons of white paint with 2/5 gallon of blue paint to make a light blue paint. After using 18/4 gallons of the light blue paint for a project, how many gallons does the painter have left?

GPT-3.5 Turbo:

Reasoning: The total amount of light blue paint the painter made is 7 + 2/5 = 35/5 + 2/5 = 37/5 gallons.
After using 18/4 gallons, the painter has 37/5 - 18/4 = 148/20 - 90/20 = 58/20 = 2.9 gallons left.
### Answer: 2.9 gallons.

Expected answer: 29/10

Correct? No

Problem: Jayson went to the roller rink and spent 24/7 hours skating on the first day. On the second day, he decided to skate for an additional 30/20 hours. How many hours in total did Jayson spend skate skating over the two days?

GPT-3.5 Turbo:

To find the total hours Jayson spent skating over the two days, we need to add the hours he spent on the first day to the hours he spent on the second day.

24/7 + 30/20 = (24*20 + 30*7) / (7*20) = (480 + 210) / 140 = 690 / 140 = 4.92857142857 hours.

Therefore, Jayson spent a total of approximately 4.93 hours skating over the two days.
### Answer: 4.93 hours.

Expected answer: 69/14

Correct? No

Problem: Dolphins can leap approximately 18/3 feet out of the water. If a dolphin only manages to jump 3/4 of his usual height one day, how high did the dolphin jump?

GPT-3.5 Turbo:

Reasoning: The dolphin can jump 18/3 = <<18/3=6>>6 feet out of the water.
If the dolphin only jumps 3/4 of his usual height, then the height jumped is 6 * 3/4 = <<6*3/4=4.5>>4.5 feet.
### Answer: 4.5 feet.

Expected answer: 9/2

Correct? No

Problem: Callie owns a pen business. Last month, she sold 20 pens for every 15 she produced. At the same time, she sold an additional 16 pens for every 22 she put out for sale. Meanwhile, she found that for every 22 pens she advertised, 27 were interested customers. For each 23 pens she produced this week, she was able to sell 8. What is the result when she multiplies the ratio of last month's sales to production (20/15 + 16/22) and this week's figure for the ratio of interested customers to production (22/27 * 23/8)? Leave your answer as an unsimplified fraction.

GPT-3.5 Turbo:

First, let's calculate the ratio of last month's sales to production:
20/15 + 16/22 = 4/3 + 8/11 = (4*11 + 3*8) / (3*11) = 59/33

Next, let's calculate this week's ratio of interested customers to production:
22/27 * 23/8 = (22*23) / (27*8) = 506 / 216

Now, let's multiply the two ratios:
(59/33) * (506/216) = (59*506) / (33*216) = 29854 / 7128

### Answer: 29854/7128.

Expected answer: 391/81

Correct? No

Problem: Consider a band practice session in which a musician played a song for exactly 30 minutes. After dividing this time equally between 15 songs, how much time did they spend on each song? From this average time per song, the band reduced the time spent on a particular song by 1/17 of an hour. Can you calculate the final duration of that song?

GPT-3.5 Turbo:

First, we find the time spent on each song by dividing the total time by the number of songs: 30 minutes / 15 songs = 2 minutes per song.

Next, we convert 1/17 of an hour to minutes: (1/17) * 60 minutes/hour = 3.52941176471 minutes.

Finally, we subtract this time from the original time spent on each song: 2 minutes - 3.52941176471 minutes = -1.52941176471 minutes.

The final duration of that song is -1.52941176471 minutes, which means the band spent 1.52941176471 minutes less on that song compared to the average time per song.

### Answer: -1.52941176471 minutes.

Expected answer: 33/17

Correct? No

Problem: Josh rented a scooter for a day. He rode the scooter for a total of 18 hours during the first day. The next day, he rode the scooter for an additional 1/12 of an hour. Later that afternoon, his friend Jack also rented a scooter and rode it for 7/17 of an hour. How many hours did they both ride scooters in total (expressed as a fraction)? Combine the hours they both rode and simplify the fraction to get the answer.

GPT-3.5 Turbo:

Josh rode the scooter for 18 + 1/12 = 18 + 2/24 = 18 + 1/12 = 18 2/24 = 18 1/12 hours.
Jack rode the scooter for 7/17 hours.
Together, they rode for 18 1/12 + 7/17 = 217/12 + 7/17 = (217*17 + 7*12) / (12*17) = (3689 + 84) / 204 = 3773 / 204 = 1853/102 hours.

### Answer: 1853/102 hours.

Expected answer: 3773/204

Correct? No

Problem: A lamp store owner is doing inventory of all the lamps in his store. He found that he has 4/26 of lamps that are floor lamps, 15/11 that are desk lamps, he also discovered he has 23/28 of table lamps and finally 8/19 of lamps that are decorative. What fraction of his total inventory do these lamps constitute?

GPT-3.5 Turbo:

To find the total fraction of lamps in the store, we add the fractions of each type of lamp:
4/26 + 15/11 + 23/28 + 8/19

To add these fractions, we need to find a common denominator. The least common multiple of 26, 11, 28, and 19 is 26*11*28*19 = 13924.

Converting each fraction to have a denominator of 13924:
4/26 = (4*537) / (26*537) = 2148/13924
15/11 = (15*1268) / (11*1268) = 19020/13924
23/28 = (23*497) / (28*497) = 11431/13924
8/19 = (8*732) / (19*732) = 5856/13924

Adding these fractions together:
2148/13924 + 19020/13924 + 11431/13924 + 5856/13924 = 38455/13924

Therefore, these lamps constitute 38455/13924 of the total inventory.
### Answer: 38455/13924.

Expected answer: 209967/76076

Correct? No

Problem: Oliver has a kite string that is 26/19 meters long and another kite string that is 7/11 meters long. He decides to add these two strings to create an even longer kite string. Later on, he decides to use only 5/8 of this combined string. How long is the kite string that he is using now? Do not simplify your fractions within your calculation.

GPT-3.5 Turbo:

Reasoning: The total length of the kite strings is (26/19 + 7/11) meters. This is equal to (286/209 + 133/209) = 419/209 meters. Oliver decides to use 5/8 of this combined string, which is (5/8) * (419/209) = 209/8 meters.
### Answer: 209/8 meters.

Expected answer: 2095/1672

Correct? No

Problem: In a snow fight, Mike threw 9/19 of his snowballs and his friend, John threw 6/8 of his snowballs. After a while, Mike found 4 more snowballs to throw. The question is, if 'u' represents the number of snowballs thrown by both Mike and John and 'j' is the total number of snowballs Mike had after finding more, how many snowballs did Mike have in total? Solve the following equations to find the variable 'j': u = 9/19 + 6/8 j = u + 4/1

GPT-3.5 Turbo:

Solving for 'u':
u = 9/19 + 6/8
u = (9/19) + (6/8)
u = (72/152) + (57/76)
u = (72 + 57) / 152
u = 129 / 152

Solving for 'j':
j = u + 4/1
j = 129/152 + 4
j = 129/152 + 608/152
j = 737/152

Therefore, Mike had a total of 737 snowballs.
### Answer: 737.

Expected answer: 397/76

Correct? No

Problem: In a chocolate factory, one worker packages 26 pieces of chocolate in 18 minutes, while another worker can package 15 pieces of chocolate every 15 minutes. Find out the total amount of chocolate they can package in one minute.

GPT-3.5 Turbo:

Let's find out how many pieces of chocolate each worker can package in one minute:
Worker 1: 26 pieces / 18 minutes = 1.44 pieces/minute
Worker 2: 15 pieces / 15 minutes = 1 piece/minute

Total amount of chocolate they can package in one minute: 1.44 + 1 = 2.44 pieces/minute

### Answer: 2.44 pieces/minute.

Expected answer: 22/9

Correct? No

Problem: Yesterday, Joanna washed 24/20 batches of small towels and 25/15 batches of large towels. Find the total number of batches of towels she washed.

GPT-3.5 Turbo:

To find the total number of batches of towels Joanna washed, we need to add the number of batches of small towels and the number of batches of large towels she washed.

Number of batches of small towels = 24/20 = 1.2 batches
Number of batches of large towels = 25/15 = 1.666... batches (rounded to 1.67)

Total number of batches of towels = 1.2 + 1.67 ≈ 2.87 batches

### Answer: 2.87 batches.

Expected answer: 43/15

Correct? No

Problem: Debra is baking cookies and she realizes she has two different recipes for the same type of cookie. She's wondering if she combines the ingredients from both, if she will end up with even more cookies or not. The first recipe requires (27 / 3) cups flour and (11 / 7) cups sugar. She determines the ratio of flour to sugar by dividing the amount of flour by the amount of sugar. She then subtracts (21 / 26) from this ratio because that's how many cups of sugar her friend says makes the cookies too sweet. After that, she adds (22 / 9) cups of flour from the second recipe to the new ratio to see how many total cups of flour she will need. How many cups of flour will she have in the end?

GPT-3.5 Turbo:

Let's first calculate the amount of flour and sugar needed for the first recipe:
- Flour: 27 / 3 = 9 cups
- Sugar: 11 / 7 ≈ 1.57 cups

Next, let's calculate the ratio of flour to sugar:
- Ratio = 9 / 1.57 ≈ 5.73

Now, let's subtract the amount of sugar her friend says makes the cookies too sweet:
- New ratio = 5.73 - 21 / 26 ≈ 5.73 - 0.81 ≈ 4.92

Now, let's add the additional flour from the second recipe:
- Total flour needed = 9 + 22 / 9 ≈ 9 + 2.44 ≈ 11.44 cups

Therefore, Debra will need 11.44 cups of flour in the end.
### Answer: 11.44 cups.

Expected answer: 18955/2574

Correct? No

Problem: There are 26/13 chickens in one farm and 9/16 chickens in another farm. Farmer John calculated the difference between the number of chickens in the two farms. After a week, the number of chickens multiplied by 19/21 due to new chickens born. How many chickens are there now in Farmer John's farm?

GPT-3.5 Turbo:

First, let's calculate the difference in the number of chickens between the two farms:
26/13 - 9/16 = 2 - 9/16 = 32/16 - 9/16 = 23/16.

After a week, the number of chickens multiplied by 19/21:
23/16 * 19/21 = (23*19) / (16*21) = 437 / 336.

Therefore, there are 437/336 chickens now in Farmer John's farm.
### Answer: 437/336.

Expected answer: 437/336

Correct? Yes

Problem: A helicopter traveled a distance of 24/14 miles for a training exercise. During a second exercise, the helicopter flew the same distance. If we let 'w' be the distance flown for each exercise and 't' be the total distance flown for both exercises represented as the product of 'w' times 'w', what is the value of 't'?

GPT-3.5 Turbo:

Given that the helicopter traveled a distance of 24/14 miles for each exercise, the total distance flown for both exercises is 2*(24/14) = 48/14 = 24/7 miles. Therefore, the value of 't' is (24/7)*(24/7) = 576/49 miles squared.

### Answer: 576/49 miles squared.

Expected answer: 144/49

Correct? No

Problem: A UFO has made two fuel stops. During the first refuel, the UFO was able to fill 20/16 of its fuel tank. At the second fuel stop, the UFO filled another 24/25 of its tank. Calculate the total fraction of the tank that the UFO was able to refill during these two stops.

GPT-3.5 Turbo:

Reasoning: The total fraction of the tank refilled is 20/16 + 24/25.
To add these fractions, we need to find a common denominator, which is 16*25 = 400.
Converting 20/16 to have a denominator of 400, we get 20/16 = 125/100.
Converting 24/25 to have a denominator of 400, we get 24/25 = 384/400.
Adding these fractions, we get 125/100 + 384/400 = 509/400.
### Answer: 509/400.

Expected answer: 221/100

Correct? No

Problem: Professor Astro is working on his telescope. He believes the power of his telescope is directly proportional to the sum of two fractions. The first fraction is the light gathering power of the lens, which is 24 out of 27. The second fraction is the zooming potential, which is 30 out of 26. So, Professor Astro calculates the sum of these two fractions ((24 / 27) + (30 / 26)). What does he find?

GPT-3.5 Turbo:

To add the fractions, we need to find a common denominator. The least common multiple of 27 and 26 is 27*26 = 702.

Converting the fractions to have a common denominator of 702:
(24/27) * (26/26) = 624/702
(30/26) * (27/27) = 810/702

Adding the fractions:
(624/702) + (810/702) = (624 + 810) / 702 = 1434 / 702

Professor Astro finds that ((24 / 27) + (30 / 26)) = 1434 / 702.
### Answer: 1434/702.

Expected answer: 239/117

Correct? Yes

Problem: Kiki is a lively little monkey. She loves eating bananas. She ate 11/6 bananas in the morning and the same amount in the afternoon. How many bananas did she eat in total? Express your answer as an improper fraction.

GPT-3.5 Turbo:

Reasoning: Kiki ate 11/6 bananas in the morning and 11/6 bananas in the afternoon, totaling 11/6 + 11/6 = 22/6 = 11/3 bananas in total.
### Answer: 11/3.

Expected answer: 11/3

Correct? Yes

Problem: Jaden is a dairy farmer who milks his cows twice a day. In the morning, his cows give him 26/14 gallons of milk per cow, and in the evening, they give 28/20 gallons of milk per cow. If he multiplies these two fractions together, how much milk is he getting from one cow in one day?

GPT-3.5 Turbo:

Reasoning: To multiply the fractions, we first convert them to a common denominator. We have 26/14 = 13/7 and 28/20 = 7/5. Multiplying these fractions gives us (13/7) * (7/5) = (13*7) / (7*5) = 91 / 35 gallons of milk per cow in one day.
### Answer: 91/35 gallons.

Expected answer: 13/5

Correct? Yes