Problem: In addition to the bananas given to Johnnie the monkey in the morning and afternoon, the zookeeper decides to give Johnnie the same total amount of bananas the next day. How many bananas in total did Johnnie the monkey receive over these two days?

GPT-3.5 Turbo:

Reasoning: If Johnnie received 3 3/7 bananas each day, then over two days he received 2 * (3 3/7) = 6 6/7 bananas.
Converting 6 6/7 to an improper fraction, we get 48/7 bananas.
### Answer: 48/7 bananas.

Expected answer: 48/7

Correct? Yes

Problem: If we consider the distance from the floor and ceiling for both the front and back doors, which have the same measurements as the original door, what is the total distance considering the bottoms and tops of both doors from the floor and ceiling respectively?

GPT-3.5 Turbo:

Reasoning: Since the front and back doors have the same measurements as the original door, the total distance considering the bottoms and tops of both doors from the floor and ceiling respectively would be 2 * (4/19 + 9/10) = 2 * (211/190) = 422/190 = 211/95 inches.
### Answer: 211/95 inches.

Expected answer: 211/95

Correct? Yes

Problem: If we reconsider the original scenario with the bottom of a door measuring 4/16 inches from the floor instead of 4/19 inches, and the top still measuring 9/10 inches from the ceiling, what is the new total distance of the bottom and top of the door from the floor and ceiling, respectively?

GPT-3.5 Turbo:

Reasoning: If the bottom of the door is 4/16 inches from the floor, it simplifies to 1/4 inches. The total distance of the bottom of the door from the floor and the top of the door from the ceiling is 1/4 + 9/10 = (1*10 + 9*4) / (4*10) = (10 + 36) / 40 = 46 / 40 = 23 / 20 inches.
### Answer: 23/20 inches.

Expected answer: 23/20

Correct? Yes

Problem: After finishing his juice recipe, Ralph decides to add an additional 3/18 liters of apple juice to the mix. How many liters of unused apple juice are left now?

GPT-3.5 Turbo:

Reasoning: Ralph added 3/18 = 1/6 liters of apple juice to the mix.
The total amount of unused apple juice now is 4 10/33 + 1/6 = 4 20/66 + 11/66 = 4 31/66 = 4 15/33 liters.
### Answer: 4 15/33 liters.

Expected answer: 91/22

Correct? No

Problem: If Ralph had initially started with 17/3 liters of apple juice but had only used 14/11 liters, how many liters of apple juice would he have left unused then?

GPT-3.5 Turbo:

Reasoning: Ralph used 14/11 liters of apple juice out of 17/3 liters, so the amount left unused is 17/3 - 14/11 = (187/33 - 42/33) = 145/33 = 4 17/33 liters.
### Answer: 4 17/33 liters.

Expected answer: 145/33

Correct? No

Problem: Suppose instead of travelling 4 miles initially, Billy actually traveled 6 miles before rolling back 17/20 of a mile to avoid the pothole. With this change in initial distance, how many miles did Billy ultimately travel forward?

GPT-3.5 Turbo:

Reasoning: If Billy initially traveled 6 miles forward and then rolled back 17/20 mile, he ultimately traveled 6 - 17/20 = 120/20 - 17/20 = 103/20 miles forward.
### Answer: 103/20 miles.

Expected answer: 103/20

Correct? Yes

Problem: In a change of earlier data, it was discovered that the rocket only traveled 15/3 light years on the first day. However, on the second day, it actually covered 18/7 light years instead of 2/7 light years. With this new information, how far has the rocket traveled in total?

GPT-3.5 Turbo:

Reasoning: On the first day, the rocket traveled 15/3 = 5 light years.
On the second day, the rocket traveled 18/7 light years.
In total, the rocket traveled 5 + 18/7 = 5 + 18/7 = 5 3/7 = 38/7 light years.
### Answer: 38/7 light years.

Expected answer: 53/7

Correct? No

Problem: After Captain Silverbeard finds the portions of the treasure map, he discovers another piece on a third site which is 15/17 of the total map. What is the total portion of the treasure map that Captain Silverbeard has now?

GPT-3.5 Turbo:

Reasoning: Adding the portion of the third site to the previous total, we get 398/247 + 15/17 = (398*17 + 15*247) / (247*17) = (6766 + 3705) / 4199 = 10471 / 4199 of the treasure map.
### Answer: 10471/4199.

Expected answer: 10471/4199

Correct? Yes

Problem: Suppose instead of finding 10/13 of the treasure map at the first shipwreck site, Captain Silverbeard found a larger piece which was 10/9 of the total map. Keeping the second portion from the other shipwreck site the same at 16/19, what is the total portion of the treasure map that he found now?

GPT-3.5 Turbo:

Reasoning: Captain Silverbeard found 10/9 + 16/19 = (10*19 + 16*9) / (9*19) = (190 + 144) / 171 = 334 / 171 of the treasure map.
### Answer: 334/171.

Expected answer: 334/171

Correct? Yes

Problem: In continuation to the previous question, after walking 9/6 miles North and 2/16 miles East, the hiker then decides to continue his journey and walks an additional 8/14 miles South. How many miles has the hiker now traveled in total?

GPT-3.5 Turbo:

To find the total distance traveled by the hiker after walking South, we need to add the distance traveled South to the total distance traveled previously.

Distance traveled South: 8/14 miles = 4/7 miles

Total distance traveled = 13/8 + 4/7 = 91/56 + 32/56 = 123/56 miles.

### Answer: 123/56 miles.

Expected answer: 123/56

Correct? Yes

Problem: In opinion to the previous case, imagine if the hiker had initially decided to walk 10/6 miles North instead of 9/6 miles, while keeping the distance walked East unchanged at 2/16 miles. How many miles would the hiker have then traveled in total?

GPT-3.5 Turbo:

If the hiker walks 10/6 miles North and 2/16 miles East, we can calculate the total distance traveled by adding the distances traveled North and East.

Distance traveled North: 10/6 miles = 5/3 miles
Distance traveled East: 2/16 miles = 1/8 miles

Total distance traveled = 5/3 + 1/8 = 40/24 + 3/24 = 43/24 miles.

### Answer: 43/24 miles.

Expected answer: 43/24

Correct? Yes

Problem: Jessica decided to add more sand to her sandbox. She adds an extra 19/15 cubic feet of sand to it. After this, how much sand does she now have in her sandbox?

GPT-3.5 Turbo:

Reasoning: Jessica now has 172/117 + 19/15 = (172*15 + 19*117) / (117*15) = (2580 + 2203) / 1755 = 4783 / 1755 cubic feet of sand in her sandbox.
### Answer: 4783/1755 cubic feet.

Expected answer: 1601/585

Correct? No

Problem: In our previous scenario, let's say that Jessica initially had a smaller pile of sand that was 16/9 cubic feet. If she still removed 4/8 cubic feet of sand as before, how much sand does she now have left in her sandbox?

GPT-3.5 Turbo:

Reasoning: Jessica initially had 16/9 - 4/8 = (16*8 - 4*9) / (9*8) = (128 - 36) / 72 = 92 / 72 = 23 / 18 cubic feet of sand left in her sandbox.
### Answer: 23/18 cubic feet.

Expected answer: 23/18

Correct? Yes

Problem: Jacob now wants to double the total length of the rope he has. If Jacob starts with the rope that is ((15 / 12) + (17 / 17)) meters long, and then adds another piece of the same length to it, what will be the total length of the combined ropes?

GPT-3.5 Turbo:

The total length of the combined ropes is 2 * (15/12 + 17/17) meters.

First, we simplify the expression inside the parentheses:
15/12 + 17/17 = 15/12 + 1 = 15/12 + 12/12 = 27/12.

Now, we double this value:
2 * 27/12 = 54/12 = 9/2.

Therefore, the total length of the combined ropes will be 9/2 meters.

### Answer: 9/2 meters.

Expected answer: 9/2

Correct? Yes

Problem: Now, suppose Jacob starts with a piece of rope that is 7/12 meters long instead of 15/12 meters. If he still adds the rope piece that is 17/17 meters long to it, what is the total length of the rope now?

GPT-3.5 Turbo:

If Jacob starts with a piece of rope that is 7/12 meters long and adds a piece that is 17/17 meters long, we need to find a common denominator to add the lengths.

The least common multiple of 12 and 17 is 204.

So, 7/12 meters is equivalent to 7/12 * 17/17 = 119/204 meters.
And 17/17 meters is equivalent to 17/17 * 12/12 = 204/204 meters.

Adding these two lengths together, we get 119/204 + 204/204 = 323/204 meters.

### Answer: 323/204 meters.

Expected answer: 19/12

Correct? Yes

Problem: Mark already had 1 full pair of pants and another 13/4 pairs from various incomplete sets. If he goes shopping and buys an additional 13/3 pairs of pants, how many pairs of pants does he have in total now?

GPT-3.5 Turbo:

Reasoning: Mark had 17/4 pairs of pants and bought an additional 13/3 pairs, which is equivalent to 17/4 + 13/3 = 51/12 + 52/12 = 103/12 pairs of pants in total.
### Answer: 103/12 pairs.

Expected answer: 103/12

Correct? Yes

Problem: Instead of starting with 1 full pair of pants and another 13/4 pairs, let's say Mark originally had 1 full pair of pants and 9/4 pairs from various incomplete sets. How many pairs of pants would he then have in total?

GPT-3.5 Turbo:

Reasoning: Mark has 1 full pair + 9/4 pairs = 4/4 + 9/4 = 13/4 pairs of pants in total.
### Answer: 13/4 pairs.

Expected answer: 13/4

Correct? Yes

Problem: After grading papers, Miss Jenny spends an additional 1/12 hours organizing her lesson plans. How long did she spend in total between grading papers and organizing her lesson plans?

GPT-3.5 Turbo:

To find the total time Miss Jenny spent between grading papers and organizing her lesson plans, we need to add the time she spent grading papers and the time she spent organizing her lesson plans.

39/19 hours + 1/12 hours = (39/19) + (1/12) = (39*12)/(19*12) + 19/(19*12) = 468/228 + 19/228 = 487/228 hours.

Miss Jenny spent a total of 487/228 hours between grading papers and organizing her lesson plans.
### Answer: 487/228 hours.

Expected answer: 487/228

Correct? Yes

Problem: Suppose instead of spending 20/19 hours on the second subject, Miss Jenny had actually spent 20/13 hours. How long did she spend grading papers in total then?

GPT-3.5 Turbo:

To find the total time Miss Jenny spent grading papers with 20/13 hours on the second subject, we add the time she spent on each subject.

8/8 hours + 20/13 hours = 1 + 20/13 = 13/13 + 20/13 = 33/13 hours.

Miss Jenny spent a total of 33/13 hours grading papers.
### Answer: 33/13 hours.

Expected answer: 33/13

Correct? Yes

Problem: After visiting his grandparents' house, Jack decides to ride his scooter to the park, which is another 20/12 of mile from his grandparents' house. How many miles does Jack ride his scooter in total now?

GPT-3.5 Turbo:

To find the total distance Jack rides his scooter now, we need to add the distance he rides to the park to the total distance he has already ridden.

22/15 + 20/12 = 44/30 + 50/30 = 94/30

Jack rides his scooter a total of 94/30 miles now.
### Answer: 94/30 miles.

Expected answer: 47/15

Correct? Yes

Problem: Suppose after revisiting the route, Jack realizes the distance from his home to the library is actually 3/9 of a mile instead of 5/9. The distance from the library to his grandparents' house still remains 17/20 of a mile. How many miles does Jack ride his scooter in total then?

GPT-3.5 Turbo:

If the distance from Jack's home to the library is 3/9 of a mile, we need to recalculate the total distance he rides his scooter.

3/9 + 17/20 = 20/60 + 51/60 = 71/60

Jack rides his scooter a total of 71/60 miles.
### Answer: 71/60 miles.

Expected answer: 71/60

Correct? Yes

Problem: After the logs and twigs burn out, Tom adds 8 pieces of charcoal, each of which burns for 1/5 of an hour. What is the total burn time for the logs, twigs, and charcoal?

GPT-3.5 Turbo:

Reasoning: Each piece of charcoal burns for 1/5 of an hour, so 8 pieces of charcoal burn for 8*(1/5) = 8/5 hours.
The total burn time for the logs, twigs, and charcoal is 19/12 + 8/5 = 95/60 + 96/60 = 191/60 hours.
### Answer: 191/60 hours.

Expected answer: 191/60

Correct? Yes

Problem: In the original scenario, consider that there were actually 4 logs that each burn for 1/16 of an hour, but Tom only added 15 twigs that each burn for 1/12 of an hour instead. What would be the total burn time for the logs and twigs in this situation?

GPT-3.5 Turbo:

Reasoning: Each log burns for 1/16 of an hour, so 4 logs burn for 4*(1/16) = 1/4 of an hour.
Each twig burns for 1/12 of an hour, so 15 twigs burn for 15*(1/12) = 5/4 hours.
The total burn time for the logs and twigs is 1/4 + 5/4 = 1/4 + 4/4 = 5/4 hours.
### Answer: 5/4 hours.

Expected answer: 3/2

Correct? No

Problem: Now assume the farmer's first apple tree produced 10/9 bushels instead of 10/11 bushels in the morning. With the same amount of apples in the afternoon, how many bushels of apples did this tree produce in one day?

GPT-3.5 Turbo:

First, we need to find a common denominator for 10/9 and 17/11. The least common multiple of 9 and 11 is 99.

Converting 10/9 to have a denominator of 99:
10/9 * 11/11 = 110/99

Now we can add the two fractions:
110/99 + 17/11 = (110*11)/(99*11) + 17*9/(11*9) = 1210/99 + 153/99 = 1363/99

Therefore, the tree produced 1363/99 bushels of apples in one day.
### Answer: 1363/99 bushels.

Expected answer: 263/99

Correct? No

Problem: If Sam's binoculars instead increased his range of sight by 4/14 of a mile, while Joe's binoculars still increase his range of sight by exactly 1 mile, how much would their combined range increase be when they use the binoculars one after the other?

GPT-3.5 Turbo:

Reasoning: If Sam's binoculars increase his range by 4/14 mile and Joe's binoculars increase his range by 1 mile, their combined range increase is 4/14 + 1 = 18/14 = 9/7 miles.
### Answer: 9/7 miles.

Expected answer: 9/7

Correct? Yes

Problem: After reviewing her measurements, Maria realizes that she actually used a smaller piece of fabric for the second section of the blanket. Instead of the 9/18 yards she originally thought, she actually used only 6/18 yards of fabric. What is the total length of fabric that Maria used for these two sections of the blanket now?

GPT-3.5 Turbo:

Now that Maria used 6/18 yards for the second section, we can add the two sections together:

15/10 yards = 135/90 yards
6/18 yards = 30/90 yards

Adding the two sections together:
135/90 + 30/90 = 165/90 = 1.83 yards

### Answer: 1.83 yards.

Expected answer: 11/6

Correct? No

Problem: In the previous question, we considered the turtle walking forward 10/5 miles and walking backward 5/16 mile. Now, assume instead that the turtle walks backward a distance of 5/6 miles instead of 5/16 mile after walking forward. Now, how far is the turtle from its starting point?

GPT-3.5 Turbo:

Reasoning: The turtle walks 10/5 - 5/6 = 2 - 5/6 = 7/6 miles from its starting point.
### Answer: 7/6 miles.

Expected answer: 7/6

Correct? Yes

Problem: After mixing the sky blue paint, the painter decides to mix in an additional 12/13 liters of white paint to lighten the shade. How many liters of paint does he have now in total?

GPT-3.5 Turbo:

To find the total amount of paint after adding the additional white paint, we need to add the amount of paint he had before with the additional white paint.

Total paint before adding white paint: 155/88 liters
Additional white paint added: 12/13 liters

Total paint after adding white paint: 155/88 + 12/13 = (1715/1144) + (1056/1144) = 2771/1144 liters

### Answer: 2771/1144 liters.

Expected answer: 3071/1144

Correct? No

Problem: Initially, the painter used 18/11 liters of blue paint and 1/8 liters of white paint. However, what if instead of using 1/8 liters, he used 1/7 liters of white paint to mix the sky blue shade. How many liters of paint would he then have used in total?

GPT-3.5 Turbo:

If the painter used 1/7 liters of white paint instead of 1/8 liters, we need to recalculate the total amount of paint used.

Blue paint used: 18/11 liters
White paint used: 1/7 liters

Total paint used: 18/11 + 1/7 = (126/77) + (11/77) = 137/77 liters

### Answer: 137/77 liters.

Expected answer: 137/77

Correct? Yes

Problem: Instead of 12/13 of a pound of magical gold coins in the pot, let's say the pot originally contained 17/13 pounds of gold coins. If we still added this amount to the 3/2 pounds of gold coins in the other pot, how many pounds of gold coins are there now?

GPT-3.5 Turbo:

If the first pot contains 17/13 pounds of gold coins and the second pot contains 3/2 pounds of gold coins, we can find the total amount of gold coins by adding these two amounts.

17/13 + 3/2 = (17/13)*(2/2) + (3/2)*(13/13) = 34/26 + 39/26 = 73/26 pounds.

### Answer: 73/26 pounds.

Expected answer: 73/26

Correct? Yes

Problem: After watching the original message, Zorg receives an additional part of the message from earth that is 7/8 hours long. What is the total length of all parts of the message that Zorg received?

GPT-3.5 Turbo:

Reasoning: The total length of the original message Zorg received is 12 hours.
The additional part of the message is 7/8 hours long.
The total length of all parts of the message that Zorg received is 12 + 7/8 = 96/8 + 7/8 = 103/8 hours.
### Answer: 103/8.

Expected answer: 103/8

Correct? Yes

Problem: Upon reviewing the original video message, Zorg realised that the first part of the video message was actually half as long at 4/8 hours instead of 4/4. The second part of the message still remains 11/1 hour long. What is the total length of the message that Zorg has corrected?

GPT-3.5 Turbo:

Reasoning: The corrected length of the first part of the message is 4/8 = 1/2 hour.
The second part of the message is still 11/1 = 11 hours long.
The total length of the corrected message is 1/2 + 11 = 11.5 hours.
### Answer: 11.5.

Expected answer: 23/2

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. After measuring the distance between Town C and Town D, which was found to be 20/5 inches. What is the total distance between Town A and Town D on the map?

GPT-3.5 Turbo:

To find the total distance between Town A and Town D on the map, we need to add the distances between Town A and Town B, Town B and Town C, and Town C and Town D.

Distance between Town A and Town B: 15/11 inches
Distance between Town B and Town C: 16/15 inches
Distance between Town C and Town D: 20/5 inches = 4 inches

Total distance between Town A and Town D: 15/11 + 16/15 + 4 = (15*15 + 16*11 + 4*165) / (11*15) = (225 + 176 + 660) / 165 = 1061 / 165 inches.

### Answer: 1061/165 inches.

Expected answer: 1061/165

Correct? Yes

Problem: On the same map, suppose the distance between Town A and Town B is not 15/11 but 15/11 inches, and 16/7 inches represents the distance between Town B and Town C. Now, what would be the total distance on the map from Town A to Town C?

GPT-3.5 Turbo:

To find the total distance between Town A and Town C on the map with the new distances given:
Distance between Town A and Town B: 15/11 inches
Distance between Town B and Town C: 16/7 inches

Total distance between Town A and Town C: 15/11 + 16/7 = (15*7 + 16*11) / (11*7) = (105 + 176) / 77 = 281 / 77 inches.

### Answer: 281/77 inches.

Expected answer: 281/77

Correct? Yes

Problem: The soap company plans to double their daily production. After producing 13/18 tons of Soap A and 4/6 tons of Soap B each day, how many tons of soap will they produce in total when they double their production?

GPT-3.5 Turbo:

Reasoning: Doubling the daily production means producing 2 * (13/18 + 4/6) = 2 * (25/18) = 50/18 tons of soap in total each day.
### Answer: 50/18 tons.

Expected answer: 25/9

Correct? Yes

Problem: The soap company decided to increase the production of Soap A to 17/18 tons a day while maintaining the production of Soap B at 4/6 tons a day. How many tons of soap do they produce in total each day after this change?

GPT-3.5 Turbo:

Reasoning: After the change, the total amount of soap produced each day is 17/18 + 4/6 = 17/18 + 12/18 = 29/18 tons.
### Answer: 29/18 tons.

Expected answer: 29/18

Correct? Yes

Problem: After feeding the monkeys and giraffes, Mary then feeds the elephants 19/11 pounds of food. How many pounds of food in total has she given to the monkeys, giraffes, and elephants at the zoo?

GPT-3.5 Turbo:

To find the total amount of food Mary has given to the monkeys, giraffes, and elephants, we need to add the amounts of food given to each animal.

The total amount of food given to the monkeys, giraffes, and elephants is:
3/2 + 19/11

To add these fractions, we need to find a common denominator. The least common multiple of 2 and 11 is 22.

Converting 3/2 to have a denominator of 22:
3/2 = (3*11)/(2*11) = 33/22

Now, adding the fractions:
33/22 + 19/11 = 33/22 + (19*2)/(11*2) = 33/22 + 38/22 = 71/22

Mary has given a total of 71/22 pounds of food to the monkeys, giraffes, and elephants.
### Answer: 71/22 pounds.

Expected answer: 71/22

Correct? Yes

Problem: Originally, Mary had given the monkeys 6/20 pounds of food and the giraffes 18/15 pounds of food. But what if she had made a mistake, and she actually gave the giraffes 18/19 pounds of food instead? How many pounds of food in total did she then give to the monkeys and giraffes?

GPT-3.5 Turbo:

If Mary actually gave the giraffes 18/19 pounds of food instead of 18/15 pounds, we need to recalculate the total amount of food given to the monkeys and giraffes.

Mary gave 6/20 pounds of food to the monkeys and 18/19 pounds of food to the giraffes.

To find the total amount of food given to the monkeys and giraffes, we add the amounts of food given to each animal.

Converting 6/20 to have a denominator of 19:
6/20 = (6*19)/(20*19) = 114/380

Now, adding the fractions:
114/380 + 18/19 = 114/380 + (18*20)/(19*20) = 114/380 + 360/380 = 474/380 = 237/190

Mary gave a total of 237/190 pounds of food to the monkeys and giraffes.
### Answer: 237/190 pounds.

Expected answer: 237/190

Correct? Yes

Problem: Following the previous situation, the jeweler finds an additional 2/17 pounds of silver hidden in his workshop's storage. Now, how many pounds of silver does he have in total to make rings?

GPT-3.5 Turbo:

Reasoning: The jeweler now has 347/266 + 2/17 = (347*17 + 2*266) / (266*17) = (5899 + 532) / 4522 = 6431 / 4522 pounds of silver in total.
### Answer: 6431/4522 pounds.

Expected answer: 6431/4522

Correct? Yes

Problem: In our previous scenario, suppose the jeweler initially had 8/14 pounds of silver instead of 5/14 pounds and then added 18/19 pounds more to his supplies. How many pounds of silver does the jeweler now have to make rings?

GPT-3.5 Turbo:

Reasoning: Initially, the jeweler had 8/14 = 4/7 pounds of silver.
After adding 18/19 pounds more, the jeweler now has 4/7 + 18/19 = (4*19 + 18*7) / (7*19) = (76 + 126) / 133 = 202 / 133 pounds of silver now.
### Answer: 202/133 pounds.

Expected answer: 202/133

Correct? Yes

Problem: Continuing from the prior situation, the turtle then decided to move further, walking an additional 15/20 of a meter towards the same direction. How many meters is the turtle from its original starting point now?

GPT-3.5 Turbo:

Reasoning: The turtle moved 10 + 15/20 = 10 + 3/4 = 10 + 0.75 = 10.75 meters from its starting point after the third movement.
The turtle is 10.75 meters away from its original starting point now.
### Answer: 10.75.

Expected answer: 43/4

Correct? No

Problem: Reconsider the previous scenario, but this time the turtle returns 15/8 of a meter back towards the starting point instead of the former 15/15 meters. Now, how many meters is the turtle from its starting point after these two movements?

GPT-3.5 Turbo:

Reasoning: The turtle moved 11 - 15/8 = 11 - 1.875 = 9.125 meters northward from its starting point.
The turtle is 9.125 meters away from its starting point after these two movements.
### Answer: 9.125.

Expected answer: 73/8

Correct? No

Problem: After Chloe eats a piece of the chocolate bar, she decides to add a piece from another chocolate bar. The piece from the other bar weighs 4/14 ounces. How many ounces of chocolate does Chloe have now?

GPT-3.5 Turbo:

Reasoning: Chloe had 1 ounce of chocolate left and added 4/14 ounces from the other bar, which simplifies to 2/7 ounces. Therefore, Chloe now has 1 + 2/7 = 7/7 + 2/7 = 9/7 = 1 2/7 ounces of chocolate.
### Answer: 1 2/7

Expected answer: 9/7

Correct? Yes

Problem: Originally, Chloe had a chocolate bar that was 19/2 ounces. What if instead, at the beginning she had eaten a piece that was 9/2 ounces? How many ounces of chocolate would she have had left then?

GPT-3.5 Turbo:

Reasoning: If Chloe eats a piece that is 9/2 ounces, she would have 19/2 - 9/2 = <<19/2-9/2=10/2>>10/2 = 5 ounces of chocolate left.
### Answer: 5.

Expected answer: 5

Correct? Yes

Problem: In addition to his already expanded backpack, Sammy finds another tiny side pocket that can carry an extra 3/8 of a liter. What is the total capacity of his backpack now?

GPT-3.5 Turbo:

Reasoning: Adding the extra 3/8 of a liter to the already expanded capacity of 38/9 liters gives a total capacity of 38/9 + 3/8 = 152/36 + 27/36 = 179/36 liters.
### Answer: 179/36 liters.

Expected answer: 331/72

Correct? No

Problem: Instead of the backpack having an initial capacity of 20/9 liters, let's say it could only carry 20/12 liters. If Sammy still adds the same extra pouch of 8/4 liters, what would the total capacity of his backpack be then?

GPT-3.5 Turbo:

Reasoning: If the initial capacity of the backpack is 20/12 liters, this is equivalent to 5/3 liters. Adding the extra pouch of 8/4 = 2 liters will increase the total capacity to 5/3 + 2 = 5/3 + 6/3 = 11/3 liters.
### Answer: 11/3 liters.

Expected answer: 11/3

Correct? Yes

Problem: After counting his newly found gold, Captain Hook discovers an additional 7/11 ounces of gold hidden in a small pouch he had forgotten about. What is the total weight of all the gold Captain Hook now has?

GPT-3.5 Turbo:

Reasoning: Captain Hook now has 19/8 + 7/11 = 209/88 + 56/88 = 265/88 ounces of gold in total.
### Answer: 265/88 ounces.

Expected answer: 265/88

Correct? Yes

Problem: In the previous treasure hunt, Captain Hook had originally found 11/8 ounces of gold. But let's say, instead of finding 5/5 ounces of gold as he did in his latest treasure hunt, he discovered 7/5 ounces of gold. How much total weight of gold would Captain Hook have had then?

GPT-3.5 Turbo:

Reasoning: If Captain Hook found 7/5 ounces of gold in the previous treasure hunt, then the total weight of gold he would have had is 11/8 + 7/5 = 55/40 + 56/40 = 111/40 ounces.
### Answer: 111/40 ounces.

Expected answer: 111/40

Correct? Yes

Problem: Following up on the previous problem, if Jake found an additional 11/5 of a dollar on the street, how much money does he have in his wallet now?

GPT-3.5 Turbo:

Reasoning: To add 11/5 to 67/30, we need to find a common denominator. The least common multiple of 5 and 30 is 30. So, we rewrite 11/5 as 66/30. Adding these fractions gives us 66/30 + 67/30 = 133/30. Therefore, Jake has 133/30 dollars in his wallet now.
### Answer: 133/30

Expected answer: 133/30

Correct? Yes

Problem: Following up on the original scenario, if Jake initially had 9/8 of a dollar instead of 9/10 of a dollar, and then received an additional 20/15 of a dollar, how much money does he have in his wallet now?

GPT-3.5 Turbo:

Reasoning: If Jake initially had 9/8 of a dollar, we need to find a common denominator to add the fractions. The least common multiple of 8 and 15 is 120. So, we rewrite 9/8 as 135/120 and 20/15 as 32/24. Adding these fractions gives us 135/120 + 32/24 = 167/120. Therefore, Jake has 167/120 dollars in his wallet now.
### Answer: 167/120

Expected answer: 59/24

Correct? No

Problem: Paul realizes that his chair is too tall, so he decides to shorten it by removing a 2 feet section. After doing so, what is the new height of the chair?

GPT-3.5 Turbo:

To find the new height of the chair after removing a 2 feet section, we need to subtract 2 feet from the combined height of the front and back portions of the chair.

Combined height = 55/14 feet
New height = 55/14 - 2 = 55/14 - 28/14 = 27/14 feet

### Answer: 27/14 feet.

Expected answer: 27/14

Correct? Yes

Problem: John recalls that he actually only had 5/2 shirts to start with before he donated 12/9 of them to charity. How many shirts does he actually have left now?

GPT-3.5 Turbo:

Reasoning: John actually had 5/2 = <<5/2=2.5>>2.5 shirts to start with.
After donating 12/9 * 2.5 = <<12/9*2.5=3.3333>>3.33 shirts to charity, John has 2.5 - 3.33 = <<2.5-3.33=-0.83>>-0.83 shirts left.
Since John cannot have a negative number of shirts, we made an error in our calculations. John should have 2.5 - 12/9 = 2.5 - 4/3 = 7.5/3 - 4/3 = 3.5/3 = 1.17 shirts left.
### Answer: 1.17.

Expected answer: 7/6

Correct? No

Problem: Following the alteration, Bob decides to cut off an additional 9/4 meters. After yet another alteration, what is the remaining length of Bob's jacket now?

GPT-3.5 Turbo:

To find the remaining length of Bob's jacket after cutting off an additional 9/4 meters, we need to subtract 9/4 meters from the current length of 182/48 meters.

First, we need to find a common denominator for 48 and 4, which is 48.

182/48 = 182/48 meters
9/4 = 9/4 * 12/12 = 108/48 meters

Now, we can subtract 108/48 meters from 182/48 meters:

182/48 - 108/48 = 74/48 meters

Therefore, the remaining length of Bob's jacket after the additional alteration is 74/48 meters.
### Answer: 74/48 meters.

Expected answer: 37/24

Correct? Yes

Problem: Initially, Bob's jacket was 16/3 meters in length instead of 14/3 meters. If he still cuts off 14/16 meter from this new original length, then what would be the length of Bob's jacket after the alteration now?

GPT-3.5 Turbo:

If Bob's jacket was initially 16/3 meters in length, we need to find the new original length after cutting off 14/16 meters.

First, we need to find a common denominator for 3 and 16, which is 48.

16/3 = 16/3 * 16/16 = 256/48 meters
14/16 = 14/16 * 3/3 = 42/48 meters

Now, we can subtract 42/48 meters from 256/48 meters:

256/48 - 42/48 = 214/48 meters

Therefore, the length of Bob's jacket after the alteration is 214/48 meters.
### Answer: 214/48 meters.

Expected answer: 107/24

Correct? Yes

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

GPT-3.5 Turbo:

To find the hours left in Officer Max's shift after finishing paperwork and neighborhood patrol, we subtract the time spent on these tasks from the total shift time.

Total shift time = 20 hours
Time spent on paperwork and patrol = 49/21 hours

Hours left in the shift = 20 - 49/21 = 420/21 - 49/21 = 371/21 = 17 14/21 hours

### Answer: 17 14/21 hours.

Expected answer: 53/3

Correct? Yes

Problem: Now consider a day when Officer Max spends 2/5 part of an hour, instead of 2/6 part of an hour, completing paperwork but still spends 14/7 parts of an hour patrolling the neighborhood. How much time, in parts of an hour, does Officer Max use for these two tasks in this scenario?

GPT-3.5 Turbo:

In this scenario, Officer Max spends 2/5 part of an hour completing paperwork and 14/7 parts of an hour patrolling the neighborhood.

2/5 + 14/7 = 14/35 + 100/35 = 114/35

### Answer: 114/35.

Expected answer: 12/5

Correct? No

Problem: Mr. Carpenter has now taken on an additional task. After building the chair and doing the upholstery work, he spends another 8/19 hours to apply the varnish. Now, how long does the entire process of making a chair take?

GPT-3.5 Turbo:

To find the total time Mr. Carpenter takes to make a chair including applying the varnish, we need to add the time it takes to build the frame, upholster it, and apply the varnish.

Total time = 5/3 + 10/13 + 8/19

To add these fractions, we need to find a common denominator, which is 741.

Total time = (5/3)*(247/247) + (10/13)*(57/57) + (8/19)*(39/39)
Total time = 1235/741 + 570/741 + 312/741
Total time = 2117/741

Therefore, it takes Mr. Carpenter 2117/741 hours to make a chair including applying the varnish.
### Answer: 2117/741 hours.

Expected answer: 2117/741

Correct? Yes

Problem: In another batch of chair production, Mr. Carpenter managed to reduce his timeframe. Now, he takes only 5/10 hours to build the frame of the chair while the time for upholstery stays the same as 10/13 hours. How long does it take for him to build a chair with the new time for frame construction?

GPT-3.5 Turbo:

With the new timeframe, Mr. Carpenter takes 5/10 hours to build the frame and 10/13 hours to upholster it.

Total time = 5/10 + 10/13
To add these fractions, we need to find a common denominator, which is 26.

Total time = (5/10)*(13/13) + (10/13)*(2/2)
Total time = 65/130 + 20/26
Total time = 65/130 + 40/130
Total time = 105/130

Therefore, it takes Mr. Carpenter 105/130 hours to build a chair with the new time for frame construction.
### Answer: 105/130 hours.

Expected answer: 33/26

Correct? No

Problem: Let's reconsider our previous journey of the rocket. Assume that instead of traveling 8/2 light-years towards a distant star after reaching the alien planet, the rocket only traveled 8/13 light-years. In this case, what would be the total distance covered by the rocket?

GPT-3.5 Turbo:

Reasoning: If the rocket traveled 8/13 light-years towards a distant star after reaching the alien planet, the total distance covered by the rocket would be 11/18 + 8/13 = 143/234 + 144/234 = 287/234 light-years.
### Answer: 287/234.

Expected answer: 287/234

Correct? Yes

Problem: After making his shirt, Jake realizes he needs to remove 4/16 of a yard of fabric for the shirt to fit perfectly. How much fabric will he have left after making this adjustment?

GPT-3.5 Turbo:

To subtract 4/16 from 26/14, we need to find a common denominator. The common denominator of 14 and 16 is 112.

26/14 = 208/112
4/16 = 28/112

Subtracting the adjustment:
208/112 - 28/112 = 180/112 = 45/28

Jake will have 45/28 yards of fabric left after making the adjustment.

### Answer: 45/28 yards.

Expected answer: 45/28

Correct? Yes

Problem: Let's say Jake originally had less fabric, only 12/6 yards instead of 12/7 yards. He still finds an additional piece of fabric that measures 2/14 of a yard. If he combines both these pieces now, then how much fabric does he have altogether for his shirt?

GPT-3.5 Turbo:

If Jake originally had 12/6 yards of fabric, this is equivalent to 2 yards.

Adding the additional piece of fabric measuring 2/14 yards:
2/14 = 1/7 yards

Combining both pieces:
2 yards + 1/7 yards = 2 + 1/7 = 14/7 + 1/7 = 15/7 yards

Jake has a total of 15/7 yards of fabric to make his shirt.

### Answer: 15/7 yards.

Expected answer: 15/7

Correct? Yes

Problem: After shortening her routine, the ballerina decides to add a new dance move that lasts 2/20 minutes. How long is her routine now with the new dance move?

GPT-3.5 Turbo:

Reasoning: To find the new length of the routine after adding the new dance move, we need to add the length of the new dance move to the current length of the routine.
Current length = 1 53/80 minutes
Length of new dance move = 2/20 minutes = 1/10 minutes
Adding these together, we get:
1 53/80 + 1/10 = 80/80 + 8/80 = 88/80 = 1 8/80 = 1 1/10
Therefore, the length of the routine now with the new dance move is 1 1/10 minutes.
### Answer: 1 1/10 minutes.

Expected answer: 141/80

Correct? No

Problem: If originally the ballerina's routine lasted 13/5 minutes but she had only shortened it by 12/16 minutes instead of 15/16 minutes, how long would her routine be then?

GPT-3.5 Turbo:

Reasoning: To find the new length of the routine when she shortened it by 12/16 minutes instead of 15/16 minutes, we need to subtract the time she actually shortened it by from the original length.
Original length = 13/5 minutes
Shortened length = 12/16 minutes
New length = 13/5 - 12/16
To subtract these fractions, we need a common denominator, which is 80.
13/5 = 13/5 * 16/16 = 208/80
12/16 = 12/16 * 5/5 = 60/80
New length = 208/80 - 60/80 = 148/80
Converting this back to minutes, we get 1 and 48/80 minutes, which simplifies to 1 and 3/5 minutes.
### Answer: 1 3/5 minutes.

Expected answer: 37/20

Correct? No

Problem: Following up on the previous scenario, Miss Daisy finds an additional 11/11 kg of fertilizer in her shed. After she took away 17/20 kg from the original 19/6 kg to use on her roses, she added this new amount to the fertilizer she had left. How much fertilizer does she have now?

GPT-3.5 Turbo:

After Miss Daisy found the additional fertilizer, she had 139/60 + 11/11 = 139/60 + 1 = 139/60 + 60/60 = 199/60 kg of fertilizer.

Miss Daisy now has 199/60 kg of fertilizer.
### Answer: 199/60 kg.

Expected answer: 199/60

Correct? Yes

Problem: Continuing from the scenario, suppose instead of the initial 19/6 kg of fertilizers, Miss Daisy had only 14/6 kg of fertilizers. If she still uses 17/20 kg on her roses, how much fertilizers does she have left to use on her other flowers now?

GPT-3.5 Turbo:

If Miss Daisy had 14/6 kg of fertilizers initially, we need to subtract the amount she used on her roses from the total amount she has.

14/6 - 17/20 = (14/6)*(20/20) - (17/20)*(6/6) = 280/120 - 102/120 = 178/120 = 89/60 kg.

Miss Daisy has 89/60 kg of fertilizers left to use on her other flowers.
### Answer: 89/60 kg.

Expected answer: 89/60

Correct? Yes

Problem: Building upon the previous scenario, if scientists predict an additional increase of 16/6 meters in the coming year, what will be the total expected change in distance from Earth to the moon after this increase?

GPT-3.5 Turbo:

Reasoning: The total expected change in distance after the additional increase in the coming year will be 43/12 + 16/6 = 43/12 + 32/12 = 75/12 = 25/4 meters.
### Answer: 25/4 meters.

Expected answer: 25/4

Correct? Yes

Problem: Continuing from the previous scenario, suppose scientists later realized that there was a calculation error. Instead of an unexpected increase of 20/6 meters in the moon's distance this year, they found the increase was actually 20/18 meters. Given this corrected value, what is the total change in distance from the Earth to the moon this year?

GPT-3.5 Turbo:

Reasoning: The total increase in distance this year is 4/16 + 20/18 = 1/4 + 10/9 = 9/36 + 40/36 = 49/36 meters.
### Answer: 49/36 meters.

Expected answer: 49/36

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? Now, if Bob duplicates the total amount of money in his wallet, how much money will he have then?

GPT-3.5 Turbo:

To find the total amount of money Bob has in his wallet, we add the amounts in each pocket: 11/3 + 12/19.

To add these fractions, we need to find a common denominator, which is 3*19 = 57.

Converting 11/3 to have a denominator of 57, we get 11/3 = 11*19/3*19 = 209/57.

Converting 12/19 to have a denominator of 57, we get 12/19 = 12*3/19*3 = 36/57.

Therefore, Bob has 209/57 + 36/57 = 245/57 dollars in total in his wallet.

If Bob duplicates the total amount of money in his wallet, he will have 2 * 245/57 = 490/57 dollars.

### Answer: 490/57 dollars.

Expected answer: 490/57

Correct? Yes

Problem: Suppose Bob starts out with 3/3 (or 1) dollar in one pocket of his wallet instead of 11/3 dollars, and still has 12/19 dollars in another pocket. Now how much money does he have in total in his wallet?

GPT-3.5 Turbo:

Reasoning: If Bob starts out with 3/3 (or 1) dollar in one pocket of his wallet and has 12/19 dollars in another pocket, he has 3/3 + 12/19 dollars in total in his wallet.
To add these fractions, we need to find a common denominator, which is 3*19 = 57.
Converting 3/3 to have a denominator of 57, we get 3/3 = 3*19/3*19 = 57/57.
Therefore, Bob has 57/57 + 12/19 = 57/57 + 36/57 = 93/57 dollars in total in his wallet.
Simplifying, we get 93/57 = 31/19 dollars.
### Answer: 31/19 dollars.

Expected answer: 31/19

Correct? Yes

Problem: Following the previous problem, if the shark decides to swim an additional 18/9 miles in the evening, what is the total distance the shark would have swam by the end of the day?

GPT-3.5 Turbo:

Reasoning: Adding the additional 18/9 miles in the evening to the total distance already swam gives 5/3 + 18/9 = 5/3 + 2 = 5/3 + 6/3 = 11/3 miles.
### Answer: 11/3 miles.

Expected answer: 11/3

Correct? Yes

Problem: Continuing from the last problem, suppose the shark had only swam 5/12 miles in the morning instead of 5/5 miles, but still swam the additional 12/18 miles in the afternoon. How many miles would the shark have swam in the morning and afternoon combined?

GPT-3.5 Turbo:

Reasoning: If the shark swam 5/12 miles in the morning and 12/18 miles in the afternoon, the total distance would be 5/12 + 12/18 = 5/12 + 2/3 = 5/12 + 8/12 = 13/12 miles.
### Answer: 13/12 miles.

Expected answer: 13/12

Correct? Yes

Problem: Suppose on another day, Max rode his scooter for 9/7 miles in the morning and then 1/4 miles less in the afternoon instead of 1/9 miles less. How many miles did he ride his scooter in the afternoon on this different day?

GPT-3.5 Turbo:

Reasoning: Max rode 1/4 less miles in the afternoon, so he rode 9/7 - 1/4 = 36/28 - 7/28 = 29/28 miles in the afternoon on this different day.
### Answer: 29/28 miles.

Expected answer: 29/28

Correct? Yes

Problem: Following her performances, the clown took a total break of 13/5 hours. How many hours remained after her performance time is subtracted from her total break time?

GPT-3.5 Turbo:

Reasoning: The total break time is 13/5 hours. The performance time is 53/40 hours. To find the remaining time, we subtract the performance time from the total break time: 13/5 - 53/40 = 104/40 - 53/40 = 51/40 hours.
### Answer: 51/40 hours.

Expected answer: 51/40

Correct? Yes

Problem: In the previous problem, the clown juggled for 2/10 hours. Now suppose that she actually juggled for 9/10 hours instead. In this scenario, how many hours in total did she perform, if she still rode the unicycle for 9/8 hours?

GPT-3.5 Turbo:

Reasoning: If the clown juggled for 9/10 hours instead of 2/10 hours, then she performed for 9/8 + 9/10 = 45/40 + 36/40 = 81/40 hours in total.
### Answer: 81/40 hours.

Expected answer: 81/40

Correct? Yes

Problem: The wizard decided to use 13/7 ounces of stardust instead of the initially intended 11/7 ounces while preparing the potion. So now, what would be the total number of ounces of ingredients used in this adjusted potion recipe?

GPT-3.5 Turbo:

Reasoning: With the adjusted recipe, the wizard used 18/8 + 13/7 = 63/28 + 52/28 = 115/28 ounces of ingredients in total.
### Answer: 115/28 ounces.

Expected answer: 115/28

Correct? Yes

Problem: In the chair manufacturing firm discussed before, let's say the first machine was originally making 17/14 of a chair every hour instead of 4/14. How many chairs are now made by both machines in one hour?

GPT-3.5 Turbo:

If the first machine is now making 17/14 of a chair every hour, this simplifies to 1 3/14 chairs.

Adding this to the 5 chairs made by the second machine:
1 3/14 + 5 = 6 3/14 = 87/14 chairs.

Therefore, both machines make 87/14 chairs in one hour.
### Answer: 87/14 chairs.

Expected answer: 87/14

Correct? Yes

Problem: Following the previous question, Lisa finds another bottle that has 6/16 gallon of milk. What is the total amount of milk Lisa has now, if you add the milk from this third bottle to the total from the first two bottles?

GPT-3.5 Turbo:

To add the milk from the third bottle to the total from the first two bottles, we need to find a common denominator. Converting 6/16 to have a denominator of 36 gives us 6/16 = 9/24 = 18/36. Now we can add the milk from all three bottles: 97/36 + 18/36 = 115/36 gallons of milk in total.
### Answer: 115/36 gallons.

Expected answer: 221/72

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. The following day, John adds a third tent to the campsite. This tent occupies 1/10 of an acre. What is the total area occupied by all three tents?

GPT-3.5 Turbo:

To find the total area occupied by all three tents, we need to add the areas of the three tents.

Area of the large tent = 13/11 acres
Area of the smaller tent = 8/20 acres = 2/5 acres
Area of the third tent = 1/10 acres

Total area occupied by all three tents = 13/11 + 2/5 + 1/10
To add these fractions, we need to find a common denominator, which is 110 in this case.

13/11 = 13/11 * 10/10 = 130/110
2/5 = 2/5 * 22/22 = 44/110
1/10 = 1/10 * 11/11 = 11/110

Total area occupied by all three tents = 130/110 + 44/110 + 11/110 = 185/110 acres

### Answer: 185/110 acres.

Expected answer: 37/22

Correct? Yes

Problem: In the previous scenario, John had initially set up a large tent that occupied an area of 13/11 acres and a smaller tent which occupied an area of 8/20 acres. Instead, if John had a different small tent that occupied an area of 10/20 acres, what would be the total area occupied by these tents?

GPT-3.5 Turbo:

Given:
Area of the large tent = 13/11 acres
Area of the smaller tent = 10/20 acres = 1/2 acres

Total area occupied by both tents = 13/11 + 1/2
To add these fractions, we need to find a common denominator, which is 22 in this case.

13/11 = 13/11 * 2/2 = 26/22
1/2 = 1/2 * 11/11 = 11/22

Total area occupied by both tents = 26/22 + 11/22 = 37/22 acres

### Answer: 37/22 acres.

Expected answer: 37/22

Correct? Yes

Problem: In addition to the wood Sarah and Alex collected, another camper named Kim contributed 11 pounds of firewood. How many pounds of firewood do they now have in total?

GPT-3.5 Turbo:

To find the total amount of firewood they have now, we need to add the amount Kim contributed to the amount Sarah and Alex collected.

We already found that Sarah and Alex collected 257/140 pounds of firewood.

Adding Kim's contribution of 11 pounds:
257/140 + 11 = 257/140 + 1540/140 = 1797/140 pounds of firewood in total.

### Answer: 1797/140 pounds.

Expected answer: 1797/140

Correct? Yes

Problem: Instead of initially collecting 11/20 of a pound of firewood, let's say Sarah collected only half as much, so 10/20 of a pound of firewood, while Alex still collected 9/7 pounds. How many pounds of firewood did they collect in total now?

GPT-3.5 Turbo:

If Sarah collected 10/20 pound of firewood and Alex collected 9/7 pounds, we can find the total amount of firewood collected by adding their amounts together.

Sarah collected 10/20 pound, which simplifies to 1/2 pound.
Alex collected 9/7 pounds.

Adding their amounts together:
1/2 + 9/7 = 7/14 + 18/14 = 25/14 pounds of firewood collected in total.

### Answer: 25/14 pounds.

Expected answer: 25/14

Correct? Yes

Problem: After making their signature sandwich, the restaurant staff find that they have used 13/9 pounds more meat than they intended to. What is the weight of the meat that should have been in the sandwich?

GPT-3.5 Turbo:

Let x be the weight of the meat that should have been in the sandwich.

The weight of the meat used in the sandwich is x + 13/9 pounds.

Given that the total weight of the two types of meat per sandwich is 229/68 pounds, we have:

x + 13/9 = 229/68

To solve for x, we first find a common denominator, which is 612:

x = 229/68 - 13/9
x = (229*9)/(68*9) - (13*68)/(9*68)
x = 2061/612 - 884/612
x = 1177/612

Therefore, the weight of the meat that should have been in the sandwich is 1177/612 pounds.

### Answer: 1177/612 pounds.

Expected answer: 1177/612

Correct? Yes

Problem: The restaurant realized that the amount of the turkey meat in their signature sandwich should have been 6/4 pounds, not 9/4 pounds. What should be the total weight of the ham and turkey meat in the sandwich, according to this correction?

GPT-3.5 Turbo:

Given the corrected weight of turkey meat is 6/4 pounds, we need to find the total weight of ham and turkey meat in the sandwich.

Weight of ham = 19/17 pounds
Corrected weight of turkey = 6/4 pounds

Total weight = 19/17 + 6/4
To add these fractions, we need to find a common denominator, which is 68.

19/17 = 19*4/17*4 = 76/68
6/4 = 6*17/4*17 = 102/68

Total weight = 76/68 + 102/68 = 178/68 pounds

### Answer: 178/68 pounds.

Expected answer: 89/34

Correct? Yes

Problem: Considering the previous problem, what if Lucy's initial sleeping bag was 18/19 meter long and her extension was only 8/8 meter long. What would be the total length of her sleeping bag then?

GPT-3.5 Turbo:

Reasoning: If Lucy's initial sleeping bag was 18/19 meters long and the extension was 8/8 meters long, then the total length of the sleeping bag would be 18/19 + 8/8 = 18/19 + 1 = (18 + 19) / 19 = 37/19 meters.
### Answer: 37/19 meters.

Expected answer: 37/19

Correct? Yes

Problem: If originally, Sarah had poured 10/13 gallon of water, but instead of adding 8/2 gallons, she decided this time to add 16/2 gallons of water into the container, how many total gallons of water did she add now?

GPT-3.5 Turbo:

To find the total amount of water Sarah added this time, we need to add the original amount with the new amount.

10/13 + 16/2 = 10/13 + 8 = 10/13 + 104/13 = 114/13

Therefore, Sarah added 114/13 gallons of water into the container this time.
### Answer: 114/13

Expected answer: 114/13

Correct? Yes

Problem: Mandy has 9/2 KGs of apples. She uses 1/4 KG of them to make apple pie. Afterwards, she finds 3/19 more KGs of apples in her refrigerator. How many KGs of apples does she have total now?

GPT-3.5 Turbo:

Reasoning: Mandy has 9/2 - 1/4 = 9/2 - 2/8 = 9/2 - 1/4 = 18/4 - 1/4 = 17/4 KGs of apples after making the pie. 
After finding more apples, she has 17/4 + 3/19 = 17/4 + 3/19 * 4/4 = 17/4 + 12/76 = 17/4 + 3/19 = (17*19 + 3*4) / (4*19) = 323/76 KGs of apples total now.
### Answer: 323/76 KGs.

Expected answer: 335/76

Correct? No

Problem: In the scenario where Mandy initially had 9/7 KGs of apples instead, and she still uses 1/4 KG of them for her apple pie, how many KGs of apples would she have left?

GPT-3.5 Turbo:

Reasoning: If Mandy initially had 9/7 KGs of apples, she would have 9/7 - 1/4 = 36/28 - 7/28 = 29/28 = 1 1/28 KGs of apples left.
### Answer: 1 1/28 KGs.

Expected answer: 29/28

Correct? Yes

Problem: After fixing and polishing the watch, John spends an extra 12/13 hours adjusting its mechanism. How many hours in total did he spend working on the watch overall?

GPT-3.5 Turbo:

To find the total time John spent working on the watch overall, we need to add the time he spent fixing, polishing, and adjusting the mechanism.

43/21 hours + 12/13 hours = (43/21) + (12/13) = (559/273) + (252/273) = 811/273 hours.

Therefore, John spent a total of 811/273 hours working on the watch overall.
### Answer: 811/273 hours.

Expected answer: 811/273

Correct? Yes

Problem: In a revised scenario, if John spends 12/7 hours fixing a watch and then spends 3/15 hours polishing it instead of the original 3/9 hours, how many hours in total did he spent working on the watch now?

GPT-3.5 Turbo:

To find the total time John spent working on the watch in the revised scenario, we need to add the time he spent fixing the watch and the time he spent polishing it.

12/7 hours + 3/15 hours = (12/7) + (3/15) = (12/7) + (1/5) = (60/35) + (7/35) = 67/35 hours.

Therefore, John spent a total of 67/35 hours working on the watch in the revised scenario.
### Answer: 67/35 hours.

Expected answer: 67/35

Correct? Yes

Problem: Suppose that initially Peggy the Penguin had actually swam for 5/4 miles but she decided to turn back slightly earlier, swimming only 1/15 miles back towards her family before deciding to rest. How far would she be from her family in this scenario?

GPT-3.5 Turbo:

Reasoning: Peggy swam 5/4 - 1/15 = 15/12 - 1/15 = 225/180 - 12/180 = 213/180 = 71/60 miles from her family.
### Answer: 71/60 miles.

Expected answer: 71/60

Correct? Yes

Problem: After measuring his fields, the farmer also remembered that he has an additional patch of land where he grows vegetables, which is 17/11 of an acre. With this additional patch included, what is his total land area in acres?

GPT-3.5 Turbo:

Reasoning: The total land area is 59/12 + 17/11 = (59*11 + 17*12) / (12*11) = (649 + 204) / 132 = 853 / 132 acres.
### Answer: 853/132 acres.

Expected answer: 853/132

Correct? Yes

Problem: Earlier, the farmer had thought that one part of the wheat field was 4 acres. However, he later realized that it was actually 4/9 of an acre. Including the other part that was 11/12 of an acre, what is the corrected total land area in acres used to grow wheat now?

GPT-3.5 Turbo:

The corrected total land area used to grow wheat is 4/9 + 11/12 = 16/36 + 33/36 = 49/36 acres.
### Answer: 49/36 acres.

Expected answer: 49/36

Correct? Yes

Problem: Jacob bought another 3/4 feet of wire in addition to what was left over from before. How much guitar wire does he have in total now?

GPT-3.5 Turbo:

To find the total length of guitar wire Jacob has now, we need to add the remaining length of wire to the additional length he bought.

Remaining length of wire = 83/16 feet
Additional length bought = 3/4 feet

Total length = Remaining length + Additional length
Total length = 83/16 + 3/4

To add these fractions, we need a common denominator. The least common multiple of 16 and 4 is 16.

83/16 + 3/4 = 83/16 + 12/16
Total length = (83 + 12)/16
Total length = 95/16 feet

### Answer: 95/16 feet.

Expected answer: 95/16

Correct? Yes

Problem: In the previous scenario, what if Jacob initially had 11/2 feet long guitar wire but ended up using 9/16 feet to fix the guitar instead of 5/16 feet. How much guitar wire would be remaining in that case?

GPT-3.5 Turbo:

In this case, Jacob used 9/16 feet of the guitar wire to fix the guitar.

Remaining length = Total length - Length used
Remaining length = 11/2 - 9/16
To subtract these fractions, we need a common denominator. The least common multiple of 2 and 16 is 16.

11/2 = 11/2 * 8/8 = 88/16
9/16 = 9/16

Remaining length = 88/16 - 9/16
Remaining length = (88 - 9)/16
Remaining length = 79/16 feet

### Answer: 79/16 feet.

Expected answer: 79/16

Correct? Yes

Problem: Maria initially had 12 candies and 20 stickers. Instead of having 6 friends, let's say she had 13 friends now. If she shares the candies among her 6 friends and the stickers among her 13 friends equally, how many candies and stickers does each friend get in total?

GPT-3.5 Turbo:

Reasoning: If Maria has 12 candies and 13 friends, each friend will get 12/13 candies.
If Maria has 20 stickers and 13 friends, each friend will get 20/13 stickers.
Each friend will get 12/13 candies + 20/13 stickers = 32/13 = 2.46 (rounded to 2 decimal places).
### Answer: 2.46.

Expected answer: 46/13

Correct? No

Problem: After the first day of rainy weather, the following day also experienced rainfall. This time however, it lasted for only 11/19 hours. What is the total amount of hours it rained over the course of these two days?

GPT-3.5 Turbo:

Reasoning: The total time it rained over the two days is 163/65 + 11/19 hours.
To add these two fractions, we need to find a common denominator, which is 2470. Then, we have (163*38)/(65*38) + (11*130)/(19*130) = 6206/2470 + 1430/2470 = 7636/2470 hours.
### Answer: 7636/2470 hours.

Expected answer: 3812/1235

Correct? No

Problem: After cutting 10/12 yards and 10/10 yard from the blanket, Jane decides to cut an additional 4/12 yard. Now, how many yards of fabric has she cut from the blanket in total?

GPT-3.5 Turbo:

To find the total yards of fabric Jane has cut from the blanket after cutting an additional 4/12 yard, we need to add this amount to the previous total: 11/6 + 4/12 = 11/6 + 1/3 = 22/12 + 4/12 = 26/12 = 13/6 yards.
### Answer: 13/6 yards.

Expected answer: 13/6

Correct? Yes

Problem: Originally, Jane cut 10/12 yard and then 10/10 yard from the blanket. However, consider if Jane had cut 11/12 yard instead of 10/12 yard at first, and then again cut 10/10 yard. How many yards of fabric would she have cut from the blanket now in this case?

GPT-3.5 Turbo:

If Jane had cut 11/12 yard at first and then 10/10 yard, we need to add these amounts: 11/12 + 10/10 = 11/12 + 1 = 11/12 + 12/12 = 23/12 yards.
### Answer: 23/12 yards.

Expected answer: 23/12

Correct? Yes

Problem: A fairy sprinkles 11/12 oz of magic dust over an enchanted field. She then sprinkles an additional 9/10 oz of dust over a grove of enchanted apple trees. Then, she flies over to a nearby forest where she originally had 14/3 oz of magic dust. After using the dust over the field and apple trees, how much magic dust is left for the fairy now?

GPT-3.5 Turbo:

To find out how much magic dust the fairy has left, we first need to add up the total amount of magic dust she used over the field and apple trees.

The fairy used 11/12 oz + 9/10 oz of magic dust in total.
To add these fractions, we need to find a common denominator, which is 12*10 = 120.
Converting 11/12 to have a denominator of 120, we get 110/120.
Converting 9/10 to have a denominator of 120, we get 108/120.
Adding these fractions together, we get 110/120 + 108/120 = 218/120 oz used.

To find out how much magic dust the fairy has left, we subtract the amount used from the original amount she had in the forest:
14/3 oz - 218/120 oz = (560/120 oz) - (218/120 oz) = 342/120 oz.

Simplifying the fraction, we get 171/60 oz.

### Answer: 171/60 oz.

Expected answer: 57/20

Correct? Yes

Problem: A fairy sprinkles 11/12 oz of magic dust over an enchanted field. She then planned to sprinkle an additional 9/10 oz of dust over a grove of enchanted apple trees, but she accidentally sprinkles more, as much as 16/10 oz. What is the total amount of magic dust the fairy used now?

GPT-3.5 Turbo:

To find the total amount of magic dust the fairy used, we need to add the amount she sprinkled over the enchanted field (11/12 oz) to the amount she accidentally sprinkled over the grove of enchanted apple trees (16/10 oz).

First, we need to convert 16/10 to have the same denominator as 12, which is 12*5 = 60. So, 16/10 = 96/60.

Now, we can add the amounts of magic dust sprinkled: 11/12 + 96/60.

To add these fractions, we need to find a common denominator, which is 60. Converting 11/12 to have a denominator of 60, we get 55/60.

Adding the fractions together, we get 55/60 + 96/60 = 151/60 oz.

### Answer: 151/60 oz.

Expected answer: 151/60

Correct? Yes

Problem: You decide to add some more content to your letter. If you add 7/12 of a page, how many pages will the letter be then?

GPT-3.5 Turbo:

Reasoning: After adding 7/12 of a page, the new length of the letter will be 22/9 + 7/12 = 88/36 + 21/36 = 109/36 pages.
### Answer: 109/36 pages.

Expected answer: 109/36

Correct? Yes

Problem: What if your original letter was slightly longer, being 15/1 pages in total, but you still removed the same 14/9 pages from it? How many pages would the letter be then?

GPT-3.5 Turbo:

Reasoning: The original length of the longer letter is 15/1 = 15 pages.
After removing 14/9 pages, the new length of the longer letter is 15 - 14/9 = 135/9 - 14/9 = 121/9 pages.
### Answer: 121/9 pages.

Expected answer: 121/9

Correct? Yes

Problem: After Anne and Bob painted parts of the table, Carl decided to add to their work by painting another 11/5 of the table. Now, how much of the table has been painted in total?

GPT-3.5 Turbo:

Reasoning: After Anne and Bob painted 21/20 of the table, Carl painted an additional 11/5 of the table. The total painted is 21/20 + 11/5 = 21/20 + 44/20 = 65/20 of the table.
### Answer: 65/20

Expected answer: 13/4

Correct? Yes

Problem: Suppose before Carl added more paint, instead of Bob painting an additional 5/20 of the table, he could only manage to paint 5/14 of it. In this case, how much of the table has been painted by Anne and Bob together?

GPT-3.5 Turbo:

Reasoning: Anne painted 16/20 of the table and Bob painted 5/14 of the table. To add these fractions, we need to find a common denominator. The least common multiple of 20 and 14 is 140. So, we rewrite the fractions with a common denominator of 140: 16/20 = 112/140 and 5/14 = 50/140. Adding these together, we get 112/140 + 50/140 = 162/140 = 81/70.
### Answer: 81/70

Expected answer: 81/70

Correct? Yes

Problem: Instead of hitting the first note every 17/17 seconds, the drummer decides to change the beat and hit it every 16/17 seconds. They're still hitting the second note every 2/12 seconds though. How long does it now take the drummer to hit the two beats together?

GPT-3.5 Turbo:

To find the total time it takes for the drummer to hit the two beats together with the new rhythm:
Time for the first beat = 16/17 seconds
Time for the second beat = 2/12 seconds = 1/6 seconds

Total time = 16/17 seconds + 1/6 seconds
To add these two times, we need a common denominator. The least common multiple of 17 and 6 is 102.

Converting 16/17 to have a denominator of 102:
(16/17) * (6/6) = 96/102

Adding the times:
Total time = 96/102 seconds + 17/102 seconds = 113/102 seconds

Simplifying the total time:
113/102 = 1 and 11/102 seconds

### Answer: 1 and 11/102 seconds.

Expected answer: 113/102

Correct? Yes

Problem: In addition to the wood burned throughout the day, the fireplace burns an additional 19/20 cord of wood at night. What is the total cord of wood the fireplace burns in one full day?

GPT-3.5 Turbo:

To find the total cord of wood burned in one full day, we need to add the amount burned in the morning, the amount burned in the evening, and the additional amount burned at night.

12/17 + 8/19 + 19/20 = (12*380 + 8*380 + 19*323) / (17*19*20) = (4560 + 3040 + 6147) / 6460 = 13747 / 6460

Therefore, the total cord of wood burned in one full day is 13747/6460 cord.
### Answer: 13747/6460 cord.

Expected answer: 13417/6460

Correct? No

Problem: After completing the first two segments of its flight, the butterfly flies an additional 19/20 of a mile. What is the total distance now that the butterfly has flown?

GPT-3.5 Turbo:

Reasoning: To find the total distance the butterfly has flown, we need to add the additional distance to the total distance of the first two segments.
Total distance = 477/323 + 19/20
To add these fractions, we need to find a common denominator, which is the least common multiple of 323 and 20, which is 323*20 = 6460.
Converting the fractions to have a denominator of 6460:
477/323 = (477*20)/(323*20) = 9540/6460
19/20 = (19*323)/(20*323) = 6117/6460
Adding the fractions:
Total distance = 9540/6460 + 6117/6460 = 15657/6460
### Answer: The total distance the butterfly has flown is 15657/6460 miles.

Expected answer: 15677/6460

Correct? No

Problem: Suppose the butterfly's first flight segment was actually shorter than previously thought, only 18/12 of a mile instead of 18/19 of a mile, while the second segment remained 9/17 of a mile. What would be the new total length of the butterfly's flight?

GPT-3.5 Turbo:

Reasoning: The new length of the first flight segment is 18/12 = 3/2 miles.
The length of the second flight segment remains 9/17 miles.
To find the new total length of the flight, we need to add the lengths of the two segments.
Total distance = 3/2 + 9/17
To add these fractions, we need to find a common denominator, which is the least common multiple of 2 and 17, which is 2*17 = 34.
Converting the fractions to have a denominator of 34:
3/2 = (3*17)/(2*17) = 51/34
9/17 = 9/17
Adding the fractions:
Total distance = 51/34 + 9/17 = 51/34 + 18/34 = 69/34
### Answer: The new total length of the butterfly's flight is 69/34 miles.

Expected answer: 69/34

Correct? Yes

Problem: Instead of the distance between the first two cities on the map being 13/10 inches, suppose it is 13/7 inches. Keeping the distance from the second city to the third city the same at 14/15 inches, what would then be the total distance between the three cities on the map?

GPT-3.5 Turbo:

If the distance between the first two cities is 13/7 inches and the distance from the second city to the third city is 14/15 inches, the total distance between the three cities on the map would be:

Total distance = 13/7 + 14/15
To add these fractions, we need to find a common denominator, which is 105 in this case.

Total distance = (195/105) + (98/105)
Total distance = 293/105

### Answer: 293/105 inches.

Expected answer: 293/105

Correct? Yes

Problem: If a second identical helium balloon behaving exactly like the first one rises alongside, what would be their total combined speed in feet per second?

GPT-3.5 Turbo:

Reasoning: Since the second balloon behaves exactly like the first one, its speed would also be 113/48 feet per second. Therefore, the total combined speed of the two balloons would be 113/48 + 113/48 = 226/48 = 113/24 feet per second.
### Answer: 113/24 feet per second.

Expected answer: 113/24

Correct? Yes

Problem: After finishing the small art project, Scarlett decides to mix the remaining red paint with 5/7 gallons of yellow paint to make orange paint. How many gallons of paint does she have now?

GPT-3.5 Turbo:

Reasoning: Scarlett has 31/20 + 5/7 = 31/20 + 100/140 = 217/140 + 100/140 = 317/140 gallons of paint now.
### Answer: 317/140 gallons.

Expected answer: 317/140

Correct? Yes

Problem: Suppose Scarlett initially had 16/10 gallons of red paint. But this time, she uses 2/20 of a gallon for her small project instead. How many gallons of red paint does she have left now?

GPT-3.5 Turbo:

Reasoning: Scarlett initially had 16/10 gallons of red paint. She used 2/20 = 1/10 gallons for her project.
She has 16/10 - 1/10 = 15/10 = 3/2 gallons of red paint left.
### Answer: 3/2 gallons.

Expected answer: 3/2

Correct? Yes

Problem: What if the plane initially flew at a lower altitude, only 2 miles high, before it descended 12/15 of a mile? What would be the altitude of the plane after this descent?

GPT-3.5 Turbo:

Reasoning: The plane descends by 12/15 of a mile, which is equivalent to 4/5 of a mile.
The new altitude of the plane is 2 - 4/5 = 10/5 - 4/5 = 6/5 = 1 and 1/5 miles.
### Answer: 1 and 1/5 miles.

Expected answer: 6/5

Correct? Yes

Problem: If originally, the first slide was actually 6/5 meters long instead of 6/19 meters long, and the child goes down this slide and then another slide that's 17/4 meters long, how many total meters did they slide?

GPT-3.5 Turbo:

If the first slide is 6/5 meters long, then the total distance the child slid would be:
6/5 + 17/4 = (6*4 + 17*5) / (5*4) = (24 + 85) / 20 = 109 / 20 meters.
### Answer: 109/20 meters.

Expected answer: 109/20

Correct? Yes

Problem: If the colonial fireplace burns firewood at a combined rate of 4/15 cords per hour in the early morning and 14/15 cords per hour in the late night, and during the peak hours, it burns an additional 6/5 cords per hour. Then how much total firewood does the fireplace burn in one hour considering early morning, late night, and peak hours?

GPT-3.5 Turbo:

Reasoning: In one hour, the fireplace burns 4/15 cords in the early morning, 14/15 cords in the late night, and an additional 6/5 cords during peak hours. Adding these amounts gives 4/15 + 14/15 + 6/5 = 4/15 + 14/15 + 18/15 = 36/15 = 12/5 cords in total in one hour.
### Answer: 12/5 cords.

Expected answer: 12/5

Correct? Yes

Problem: Continuing from the previous scenario, let's suppose the colonial fireplace in the early morning burns firewood at a slightly different rate of 8/15 cords per hour instead of 4/15 cords per hour. The late night burning rate remains the same at 14/15 cords per hour. Given these new circumstances, how much firewood does the fireplace burn in total in one hour split between the early morning and late night?

GPT-3.5 Turbo:

Reasoning: In one hour, the fireplace burns 8/15 cords in the early morning and 14/15 cords in the late night. Adding these amounts gives 8/15 + 14/15 = 22/15 = 1 7/15 cords in total in one hour.
### Answer: 1 7/15 cords.

Expected answer: 22/15

Correct? Yes

Problem: After traveling ((9 / 20) + (11 / 7)) light years towards earth, the alien continues its journey for an additional 14/2 light years. How many light years in total has the alien traveled?

GPT-3.5 Turbo:

To find the total distance the alien traveled, we need to add the three distances together.

(9/20) + (11/7) + (14/2) = (63/140) + (220/140) + (70/140) = 353/140

So, the alien traveled a total of 353/140 light years.
### Answer: 353/140 light years.

Expected answer: 1263/140

Correct? No

Problem: The alien originally travelled ((9 / 20) + (11 / 7)) light years towards earth. But what if instead, the alien had only travelled (9 / 20) + (11 / 11) light years to start with? How many light years would the alien have travelled then?

GPT-3.5 Turbo:

To find the total distance the alien would have traveled in this scenario, we need to add the two distances together.

9/20 + 11/11 = (99/220) + (220/220) = 319/220

So, the alien would have traveled a total of 319/220 light years in this scenario.
### Answer: 319/220 light years.

Expected answer: 29/20

Correct? Yes

Problem: After combining the cucumbers, Bob duplicates his total amount. Now, how many cucumbers does he have?

GPT-3.5 Turbo:

If Bob duplicates his total amount of cucumbers, we need to multiply the total amount by 2.

5 1/7 cucumbers is equal to 36/7 cucumbers.

Multiplying 36/7 by 2, we get:
(36/7) * 2 = 72/7 = 10 2/7.

Therefore, after duplicating his total amount, Bob has 10 2/7 cucumbers.
### Answer: 10 2/7.

Expected answer: 72/7

Correct? Yes

Problem: Suppose instead of 1/7 of a cucumber, Bob initially has 17/7 (or about 2 and a half) cucumbers before adding 10/2. How many cucumbers does he have now?

GPT-3.5 Turbo:

If Bob initially has 17/7 cucumbers and adds 10/2 cucumbers, we can add these two quantities together.

17/7 + 10/2 = 34/14 + 70/14 = 104/14 = 7 6/14 = 7 3/7.

Therefore, Bob now has 7 3/7 cucumbers.
### Answer: 7 3/7.

Expected answer: 52/7

Correct? Yes