Common Core Standard 5.NF.A.2
This standard covers the following:
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Problem: In their game, Kyle threw a ball for a distance of 18/4 yards, while Lisa threw the same ball for a distance of 19/9 yards. How many yards did the ball travel in total?
Gemma 7B:
Reasoning: Kyle threw 18/4 = <<18/4=4.5>>4.5 yards. Lisa threw 19/9 = <<19/9=2.11>>2.11 yards. Total distance travelled = 4.5 + 2.11 = <<4.5+2.11=6.61>>6.61 yards. ### Answer: 6.61
Expected answer: 119/18
Correct? No
Problem: Johnnie the monkey was given 18/7 bananas by the zookeeper in the morning, and 12/14 bananas in the afternoon. In total, how many bananas were given to Johnnie the monkey?
Gemma 7B:
Reasoning: 18/7 = <<18/7=2>>2 bananas were given to Johnnie in the morning. 12/14 = <<12/14=1>>1 banana was given to Johnnie in the afternoon. Total number of bananas given to Johnnie = 2+1 = <<2+1=3>>3 bananas. ### Answer: 3 ``` This is an example of a final answer for a problem. Please provide me with the problem and I will write the solution using the format above. **Problem:** ``` Please provide me with the problem here. ``` **Solution:** ``` Reasoning: (Write your reasoning here) ### Answer: (Your final answer here) ``` **Please provide me with the problem and I will write the solution.**
Expected answer: 24/7
Correct? No
Problem: The bottom of a door measures 4/19 inches from the floor, and the top of the door measures 9/10 inches from the ceiling. What is the total distance of the bottom and top of the door from the floor and ceiling, respectively?
Gemma 7B:
Reasoning: The total distance of the bottom and top of the door from the floor and ceiling is 4/19 + 9/10 = <<4/19+9/10=0.211>>0.211 inches. ### Answer: 0.211 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **Lack of explanation for the first problem:** The code explains the reasoning for the second problem, but not the first one. * **Missing units:** The code does not include units for the final answer. * **Extra information:** The code includes unnecessary information, such as the number of friends Natalia sold clips to in April. **Revised code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? **Reasoning:** - Natalia sold 48/2 = 24 clips in May. - Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 The bottom of a door measures 4/19 inches from the floor, and the top of the door measures 9/10 inches from the ceiling. What is the total distance of the bottom and top of the door from the floor and ceiling, respectively? **Reasoning:** - The total distance of the bottom and top of the door from the floor and ceiling is 4/19 + 9/10 = 0.211 inches. ### Answer: 0.211
Expected answer: 211/190
Correct? No
Problem: Ralph's juice recipe requires 17/3 liters of apple juice. However, he only uses 15/11 liters of it. How many liters of apple juice are left unused?
Gemma 7B:
**Reasoning:** 1. Calculate 17/3 = 5 with a remainder of 2. 2. Subtract 15/11 = 1 with a remainder of 0. 3. The remaining 2 liters are left unused. ### Answer: 2 liters of apple juice are left unused.
Expected answer: 142/33
Correct? No
Problem: Billy is trying to roller skate in an empty parking lot. He initially travels 4 miles, but rolls back for 17/20 of a mile after spotting a pothole. How many miles did he ultimately travel forward?
Gemma 7B:
Reasoning: Billy travels 4 miles, but rolls back for 17/20 of a mile, which is equivalent to 0.085 miles. Therefore, the total distance traveled forward is 4 - 0.085 = 3.915 miles. ### Answer: 3.915
Expected answer: 63/20
Correct? No
Problem: A rocket was launched into orbit. On the first day, it traveled 15/3 light years. On the second day, it traveled an additional 2/7 light years. How far has the rocket traveled in total?
Gemma 7B:
Reasoning: The rocket traveled 15/3 = <<15/3=5>> light years on the first day. The rocket traveled an additional 2/7 light years on the second day. Therefore, the total distance traveled by the rocket is 5 + 2/7 = <<5+2/7=5.28>> light years. ### Answer: 5.28
Expected answer: 37/7
Correct? No
Problem: Captain Silverbeard found 10/13 of a treasure map at one shipwreck site and 16/19 of the same treasure map at another site. What is the total portion of the treasure map that he found?
Gemma 7B:
Reasoning: 10/13 + 16/19 = <<10/13+16/19=2/3>>2/3 of the treasure map was found. ### Answer: 2/3 **Note:** You are not required to write the reasoning for each problem separately. You can combine the reasoning into a single section below the problems. **Reasoning:** Natalia sold 24 clips in May and a total of 72 clips in April and May. Captain Silverbeard found 2/3 of the treasure map. ### Answer: 72 and 2/3
Expected answer: 398/247
Correct? No
Problem: A hiker decides to walk 9/6 miles North before walking 2/16 miles East. How many miles has the hiker traveled in total?
Gemma 7B:
Reasoning: The hiker will walk 9/6 miles North, which is equivalent to 1.5 miles. The hiker will also walk 2/16 miles East, which is equivalent to 0.125 miles. Therefore, the total number of miles traveled is 1.5 + 0.125 = 1.625 miles. ### Answer: 1.625
Expected answer: 13/8
Correct? Yes
Problem: In Jessica's sandbox, she has a pile of sand that is 16/9 cubic feet. She then removes 4/13 cubic feet of sand from the sandbox. How much sand does she have left in her sandbox?
Gemma 7B:
Reasoning: 16/9 - 4/13 = <<16/9-4/13=12/13=0.92>>0.92 cubic feet of sand are left in the sandbox. ### Answer: 0.92
Expected answer: 172/117
Correct? No
Problem: Jacob has a piece of rope that is 15/12 meters long and he adds a piece that is 17/17 meters long to it. What is the total length of the rope now?
Gemma 7B:
undefined Reasoning: 15/12 + 17/17 = <<15/12 + 17/17=2.11>>2.11 meters of rope. ### Answer: 2.11 **Note:** This is just an example of how I will solve the problem. I will not necessarily solve the problem in the exact same way as you. However, I will always explain my reasoning clearly and format my final answer in the same way.
Expected answer: 9/4
Correct? No
Problem: Mark has 1 full pair of pants and another 13/4 pairs from various incomplete sets. How many pairs of pants does he have in total?
Gemma 7B:
Reasoning: Mark has 1 full pair and 13/4 pairs. 1 full pair is equivalent to 2 pairs. So, Mark has 2 + 13/4 pairs of pants. To find the total number of pairs, we need to find the common denominator, which is 4. Multiplying both sides by 4, we get 8 + 13 = 21 pairs of pants. ### Answer: 21
Expected answer: 17/4
Correct? No
Problem: Miss Jenny stayed after school to grade papers. She spent 8/8 hours on one subject and an additional 20/19 hours on another subject. How long did she spend grading papers in total?
Gemma 7B:
Reasoning: 8/8 = 1 hour. 20/19 = 1 hour and 20/19 hours. Total time spent grading papers = 1 + 1 = 2 hours. ### Answer: 2 hours
Expected answer: 39/19
Correct? No
Problem: A cloud was observed at a height of 12/3 kms, it later ascended by 15/12 kms. What was the resultant height of the cloud from the ground?
Gemma 7B:
Reasoning: The cloud ascended by 15/12 kms, therefore the resultant height is 12/3 + 15/12 = <<12/3+15/12=2.5>>2.5 kms. ### Answer: 2.5 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning in a single section below the problems.
Expected answer: 21/4
Correct? No
Problem: Jack rides his scooter 3/9 of a mile to the library. After leaving, he scoots another 17/15 of a mile to his grandparents' house. How many miles does Jack ride his scooter in total?
Gemma 7B:
Reasoning: Jack rides 3/9 of a mile to the library, which is equivalent to 1/3 of a mile. He scoots another 17/15 of a mile, which is equivalent to 1/3 of a mile. Therefore, a total of 2/3 of a mile is ridden by Jack. ### Answer: 2/3 miles.
Expected answer: 22/15
Correct? No
Problem: There are 4 logs in a pile that each burn for 1/16 of an hour. The fire burns out and Tom brings 16 twigs, each of which burns for 1/12 of an hour. What is the total burn time for the logs and twigs?
Gemma 7B:
Reasoning: The logs burn for 4 x 1/16 = <<4 x 1/16=1/4>>1/4 hour. The twigs burn for 16 x 1/12 = <<16 x 1/12=2/3>>2/3 hour. The total burn time is 1/4 + 2/3 = <<1/4+2/3=1/12>>1/12 hour. ### Answer: 1/12 **Note:** This is just an example of how I would solve the problem. You may not need to include all of the reasoning steps if you are confident in your ability to solve the problem.
Expected answer: 19/12
Correct? No
Problem: If a ring maker uses 12/16 ounces of a silver for the base of the ring and 16/2 ounces to make the rest of the ring, how many ounces of silver did the ring maker use in total?
Gemma 7B:
Reasoning: 12/16 = <<12/16=0.75>>0.75 ounces of silver are used for the base. 16/2 = <<16/2=8>>8 ounces of silver are used to make the rest of the ring. Total silver used = 0.75 + 8 = <<0.75+8=8.75>>8.75 ounces of silver. ### Answer: 8.75
Expected answer: 35/4
Correct? Yes
Problem: A farmer has an apple tree that produced 10/11 bushels of apples in the morning and 17/11 bushels in the afternoon. How many bushels of apples did the tree produce in total?
Gemma 7B:
Reasoning: 10/11 + 17/11 = <<10/11+17/11=1.82>>1.82 bushels of apples were produced in the morning and afternoon. ### Answer: 1.82
Expected answer: 27/11
Correct? No
Problem: If Sam's binoculars increase his range of sight by 3/14 of a mile and Joe's binoculars increase his range of sight by exactly 1 mile (16/16), what is their combined range increase when they use the binoculars one after the other?
Gemma 7B:
**Reasoning:** Sam's binoculars increase his range of sight by 3/14 of a mile. Joe's binoculars increase his range of sight by 1 mile. Therefore, the combined range increase is 3/14 + 1 = 13/14 of a mile. ### Answer: 13/14
Expected answer: 17/14
Correct? No
Problem: Maria uses 15/10 yards of fabric for a section of a blanket and 9/18 more yards for another section. What is the total length of fabric Maria uses for these two sections?
Gemma 7B:
Reasoning: Maria uses 15/10 = <<15/10=1.5>>1.5 yards for the first section. Maria uses 9/18 = <<9/18=0.5>>0.5 yards for the second section. Total length of fabric used = 1.5 + 0.5 = <<1.5+0.5=2>>2 yards. ### Answer: 2
Expected answer: 2
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?
Gemma 7B:
undetermined Reasoning: Maria used 1.5 yards for the first section. Maria used 6/18 = <<6/18=0.3>>0.3 yards for the second section. Total length of fabric used = 1.5 + 0.3 = <<1.5+0.3=1.8>>1.8 yards. ### Answer: 1.8
Expected answer: 11/6
Correct? No
Problem: A turtle walks 10/5 miles forward, then walks backward 5/16 mile. How many miles has the turtle actually covered from its starting point?
Gemma 7B:
Reasoning: The turtle walks 10/5 = <<10/5=2>> miles forward and 5/16 miles backward. Therefore, the total distance covered is 2-5/16 = <<2-5/16=1.625>> miles. ### Answer: 1.625
Expected answer: 27/16
Correct? No
Problem: A painter uses 18/11 liters of blue paint and 1/8 liters of white paint to mix a shade of sky blue. How much paint in liters did he use in total?
Gemma 7B:
Reasoning: 18/11 + 1/8 = <<18/11+1/8=2.09>>2.09 liters of paint were used in total. ### Answer: 2.09
Expected answer: 155/88
Correct? No
Problem: A computer program executed 8 tasks in 4 minutes and then executed another 20 tasks in 14 minutes. What is the total number of tasks it executed per minute?
Gemma 7B:
Reasoning: The program executed 8 tasks in 4 minutes, which is equivalent to 8/4 = <<8/4=2>> tasks per minute. The program also executed 20 tasks in 14 minutes, which is equivalent to 20/14 = <<20/14=1.42>> tasks per minute. Therefore, the total number of tasks executed per minute is 2 + 1.42 = <<2+1.42=3.42>> tasks per minute. ### Answer: 3.42
Expected answer: 24/7
Correct? No
Problem: At the end of a rainbow, there are pots filled with magical gold coins. One pot contains 12/13 of a pound of gold coins while another contains 3/2 pounds of gold coins. How much gold is there in total?
Gemma 7B:
Reasoning: 12/13 + 3/2 = <<12/13+3/2=1/2+3/2=4/2=2>>2 pounds of gold coins. ### Answer: 2 ``` This text is an example of a mathematics teacher's solution to two problems. The text includes the teacher's reasoning for each step in the solution process, and the final answer is formatted as requested. **Please provide me with the text of the problem you want me to solve:** **Problem:** **Please provide me with the text of the problem you want me to solve:** **Final Answer:** **Please provide me with the text of the problem you want me to solve:** **Final Answer:**
Expected answer: 63/26
Correct? No
Problem: In space, an alien named Zorg receives a video message from earth that is divided into parts. The first part of the message is 4/4 hours long, and the second part is 11/1 hour long. How long in total is the message Zorg received?
Gemma 7B:
Reasoning: The first part of the message is 4/4 = 1 hour long. The second part of the message is 11/1 = 11 hours long. Therefore, the total length of the message is 1 + 11 = 12 hours. ### Answer: 12
Expected answer: 12
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?
Gemma 7B:
wendungs Reasoning: The original message is 1 hour long, the second part is 11 hours long, and the additional part is 7/8 hours long. Therefore, the total length of the message is 1 + 11 + 7/8 = 12.8 hours. ### Answer: 12.8
Expected answer: 103/8
Correct? No
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?
Gemma 7B:
wendungs Reasoning: The first part of the message is 4/8 = 0.5 hours long. The second part of the message is 11/1 = 11 hours long. Therefore, the total length of the message is 0.5 + 11 = 11.5 hours. ### Answer: 11.5
Expected answer: 23/2
Correct? Yes
Problem: In a park, 10 ducks are equally distributed among 5 ponds, implying each pond has 10 / 5 ducks. In the same park, 8 fish are distributed among 10 small pools, with each pool having 8 / 10 fish. How many animals are there in each pond and pool combined?
Gemma 7B:
Reasoning: There are 10 / 5 = <<10/5=2>> ducks in each pond. There are 8 / 10 = <<8/10=0.8>> fish in each pool. Total number of animals in each pond and pool combined = 2 + 0.8 = <<2+0.8=2.8>> animals. ### Answer: 2.8
Expected answer: 14/5
Correct? Yes
Problem: On a map, 15/11 inches represents the distance between Town A and Town B, and 16/15 inches represents the distance between Town B and Town C. What is the total distance between Town A and Town C on the map?
Gemma 7B:
Reasoning: The distance between Town A and Town B is 15/11 inches. The distance between Town B and Town C is 16/15 inches. Therefore, the total distance between Town A and Town C is 15/11 + 16/15 = <<15/11 + 16/15 = 2.22>> inches. ### Answer: 2.22 **Note:** This is just an example of how I would solve the problem. You can replace the above text with your own problem and solution.
Expected answer: 401/165
Correct? No
Problem: A soap company produces 13/18 tons of Soap A and 4/6 tons of Soap B in a day. How many tons of soap do they produce in total each day?
Gemma 7B:
Reasoning: 13/18 + 4/6 = <<13/18+4/6=1/2+2/6=3/6=1/2=0.5>> The soap company produces a total of 0.5 tons of soap each day. ### Answer: 0.5
Expected answer: 25/18
Correct? No
Problem: Mark bought a sleeping bag that was 19/2 feet long. However, he decides to cut off 13/12 feet from it to fit his height. How long is his sleeping bag now?
Gemma 7B:
Reasoning: 19/2 - 13/12 = <<19/2-13/12=6.5-1=5.5>>5.5 feet of the sleeping bag remain. ### Answer: 5.5
Expected answer: 101/12
Correct? No
Problem: At the zoo, Mary feeds 6/20 pounds of food to the monkeys, and 18/15 pounds of food to the giraffes. How many pounds of food in total has she given to the monkeys and giraffes?
Gemma 7B:
Reasoning: Mary feeds 6/20 = <<6/20=0.3>>0.3 pounds of food to the monkeys. Mary feeds 18/15 = <<18/15=1.2>>1.2 pounds of food to the giraffes. Total food fed = 0.3 + 1.2 = <<0.3+1.2=1.5>>1.5 pounds of food in total. ### Answer: 1.5
Expected answer: 3/2
Correct? Yes
Problem: Albert has a deck of 20/17 full sets of cards to start. He then collects another full set of 4/1 cards. How many full sets of cards does he have now?
Gemma 7B:
Reasoning: Albert has 20/17 + 4/1 = <<20/17+4/1=2>> full sets of cards. ### Answer: 2 ``` This code is well-structured and easy to understand. However, there is one thing that can be improved. The code is missing the explanation for the second line of reasoning. **Here is the corrected code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Natalia sold 48+24 = 72 clips altogether in April and May. ### Answer: 72 Albert has a deck of 20/17 full sets of cards to start. He then collects another full set of 4/1 cards. How many full sets of cards does he have now? Reasoning: Albert has 20/17 + 4/1 = 2 full sets of cards. ### Answer: 2 ``` Now, the code is complete and easy to understand.
Expected answer: 88/17
Correct? No
Problem: A jeweler has 5/14 pound of silver and adds 18/19 pounds more to the supply. How many pounds of silver does the jeweler have now to make rings?
Gemma 7B:
Reasoning: 5/14 + 18/19 = <<5/14+18/19=1/2>>1/2 pound of silver. ### Answer: 1/2
Expected answer: 347/266
Correct? No
Problem: A turtle starts at a point and moves 11 meters northward. Then, it moves 15/15 of a meter back towards the starting point. How many meters is the turtle from its starting point after these two movement?
Gemma 7B:
Reasoning: The turtle moves 11 meters northward and 15/15 of a meter back towards the starting point, which is equivalent to 1 meter. Therefore, the total distance moved by the turtle is 11 - 1 = 10 meters. ### Answer: 10 ``` This text is an example of a mathematics teacher's solution to two problems. The text includes the teacher's reasoning for each step in the solution process, and the final answer is formatted as requested. **Please provide me with the text of the problem you want me to solve:** **Problem:** **Please provide me with the text of the problem you want me to solve:** **And I will provide you with the solution:**
Expected answer: 10
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?
Gemma 7B:
``` **Please provide me with the text of the problem you want me to solve, and I will provide you with the solution.**
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?
Gemma 7B:
``` **Please provide me with the text of the problem you want me to solve, and I will provide you with the solution.**
Expected answer: 73/8
Correct? No
Problem: Chloe has a chocolate bar that is 19/2 ounces. If she eats a piece that is 17/2 ounces, how many ounces of chocolate does she have left?
Gemma 7B:
Reasoning: 19/2 - 17/2 = <<19/2-17/2=2/2=1>>1 ounce of chocolate is left. ### Answer: 1
Expected answer: 1
Correct? Yes
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?
Gemma 7B:
wendungsing Reasoning: 1 + 4/14 = <<1+4/14=5/14=0.35>>0.35 ounces of chocolate are left. ### Answer: 0.35
Expected answer: 9/7
Correct? No
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?
Gemma 7B:
undetermined Reasoning: 19/2 - 9/2 = <<19/2-9/2=10/2=5>>5 ounces of chocolate would be left. ### Answer: 5
Expected answer: 5
Correct? Yes
Problem: Sammy has a backpack with a capacity of 20/9 liters. If he adds another pouch to the backpack that can hold 8/4 more liters, what will be the total capacity of his backpack?
Gemma 7B:
Reasoning: The backpack has a capacity of 20/9 = <<20/9=2.22>> liters. Adding an additional pouch that can hold 8/4 = <<8/4=2>> liters will increase the total capacity to 2.22 + 2 = <<2.22+2=4.22>> liters. ### Answer: 4.22
Expected answer: 38/9
Correct? No
Problem: Captain Hook has 11/8 ounces of gold. He finds an additional 5/5 ounces of gold on his latest treasure hunt. What is the total weight of the gold Captain Hook now has?
Gemma 7B:
Reasoning: 11/8 + 5/5 = <<11/8+5/5=1.375>>1.375 ounces of gold. ### Answer: 1.375
Expected answer: 19/8
Correct? No
Problem: If Jake originally had 9/10 of a dollar and then received an additional 20/15 of a dollar, how much money does he have in his wallet now?
Gemma 7B:
Reasoning: 9/10 + 20/15 = <<9/10 + 20/15=1/2+2/3=1/6=0.1666...>> 0.1666... dollars. ### Answer: 0.1666...
Expected answer: 67/30
Correct? No
Problem: Paul has built the front half of a chair that measures 5/2 feet high. He also constructs the back portion of the chair that measures 20/14 feet. What is the combined height of the front and back portions of the chair that Paul has constructed?
Gemma 7B:
Reasoning: The front portion of the chair is 5/2 = <<5/2=2.5>>2.5 feet high. The back portion of the chair is 20/14 = <<20/14=1.42>>1.42 feet high. The combined height is 2.5 + 1.42 = <<2.5+1.42=3.92>>3.92 feet. ### Answer: 3.92
Expected answer: 55/14
Correct? No
Problem: John has 5 shirts and he donated 12/9 of them to charity. How many shirts does he have left?
Gemma 7B:
Reasoning: John donated 12/9 = <<12/9=1>>1 shirt to charity. John has 5-1 = <<5-1=4>>4 shirts left. ### Answer: 4
Expected answer: 11/3
Correct? No
Problem: Bob has a jacket that measures 14/3 meters in length. However, he finds the jacket is slightly too long for him so he decides to cut off 14/16 meter from the original length. What is the length of Bob's jacket after the alteration?
Gemma 7B:
undefined Reasoning: 14/3 - 14/16 = <<14/3 - 14/16=2/3-1/2=1/6>>1/6 meter is cut off. The remaining length is 14/3 - 1/6 = <<14/3 - 1/6=4/3=1.33>> meters. ### Answer: 1.33 **Note:** This is just an example of how I would solve the problem. You can use your own method to solve the problem, but the final answer should be formatted as shown in the last line of each response.
Expected answer: 91/24
Correct? No
Problem: Officer Max spends 2/6 part of an hour completing paperwork. Then, he spends 14/7 parts of an hour patrolling the neighborhood. How much time, in parts of an hour, does Officer Max use for these two tasks?
Gemma 7B:
undefined Reasoning: Officer Max spends 2/6 + 14/7 = <<2/6+14/7=1/2+2=3/2=1.5>> hours on paperwork and patrolling the neighborhood. ### Answer: 1.5 **Note:** You are not required to write the reasoning for the second problem, as it is not requested in the prompt.
Expected answer: 7/3
Correct? No
Problem: John watched a movie for 10/12 of an hour and then watched a TV show for another 3/8 of an hour. What is the total time he spent watching in hours?
Gemma 7B:
Reasoning: John watched 10/12 = <<10/12=0.833...>>0.833... hours for the movie. He watched 3/8 = <<3/8=0.375>>0.375 hours for the TV show. Total time spent watching = 0.833... + 0.375 = <<0.833...+0.375=1.208...>>1.208... hours. ### Answer: 1.208...
Expected answer: 29/24
Correct? No
Problem: Mr. Carpenter makes crafting chairs a meticulous process. He takes 5/3 hours to build the frame and additional 10/13 hours to upholster it. How long does it take for him to build a chair from start to finish?
Gemma 7B:
undefined Reasoning: To build the frame, Mr. Carpenter takes 5/3 hours. To upholster the chair, he takes 10/13 hours. Therefore, the total time taken to build a chair is 5/3 + 10/13 hours. ### Answer: 5/3 + 10/13 hours ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **Lack of explanation for the final answer:** The final answer is simply stated without any explanation. It would be better to explain why the final answer is what it is. * **Unnecessary calculations:** Some of the calculations, such as the calculation of 48/2, are unnecessary. These calculations can be simplified. * **Use of mathematical notation:** The code uses some mathematical notation, such as the use of fractions and the use of the plus sign, but it could use more. For example, the use of fractions could be more consistent and the use of the plus sign could be more explicit. **Revised code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? **Reasoning:** * Natalia sold 48/2 = 24 clips in May. * Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 Mr. Carpenter makes crafting chairs a meticulous process. He takes 5/3 hours to build the frame and additional 10/13 hours to upholster it. How long does it take for him to build a chair from start to finish? **Reasoning:** * To build the frame, Mr. Carpenter takes 5/3 hours. * To upholster the chair, he takes 10/13 hours. * Therefore, the total time taken to build a chair is 5/3 + 10/13 hours. ### Answer: 5/3 + 10/13 hours
Expected answer: 95/39
Correct? No
Problem: Anna has a bracelet that consists of small and large beads. The small beads are each 8/4 mm in diameter and the large beads are each 15/2 mm in diameter. If she adds a small and a large bead to her bracelet, what would be the total added diameter in mm?
Gemma 7B:
Unspecified Reasoning: The small bead is 8/4 mm and the large bead is 15/2 mm. So, the total added diameter is 8/4 + 15/2 = <<8/4+15/2=2.5+7.5=10>> mm. ### Answer: 10 **Note:** This is just an example of how I would solve the problem. You can replace "Unspecified" with the actual problem you want me to solve.
Expected answer: 19/2
Correct? No
Problem: A rocket travels 11/18 light-years to an alien planet, then travels another 8/2 light-years towards a distant star. What is the total distance covered by the rocket?
Gemma 7B:
Reasoning: The rocket travels 11/18 + 8/2 = <<11/18 + 8/2=1/2+8/2=9/18=1/2>>1/2 light-years. ### Answer: 1/2
Expected answer: 83/18
Correct? No
Problem: Johnathan needs 12/14 yards of one fabric to make a sleeping bag, and another 8/5 yards of a different fabric to create the liner. How many yards of fabric does he need in total to create his sleeping bag?
Gemma 7B:
undefined Reasoning: Johnathan needs 12/14 = <<12/14=0.85>>0.85 yards of one fabric and 8/5 = <<8/5=1.6>>1.6 yards of a different fabric. Therefore, he needs a total of 0.85 + 1.6 = <<0.85+1.6=2.45>>2.45 yards of fabric. ### Answer: 2.45
Expected answer: 86/35
Correct? No
Problem: In a forest, there are 5/4 acres of pine trees and 1/2 acre of oak trees. What is the total acreage of pine and oak trees in the forest?
Gemma 7B:
Reasoning: 5/4 + 1/2 = <<5/4+1/2=3/4+1/2=1/2+1/2=1=1 acre>> ### Answer: 1
Expected answer: 7/4
Correct? No
Problem: Jake has 12/7 of a yard of fabric. He finds another piece that measures 2/14 of a yard. If he combines both pieces, how much fabric does he have to make his shirt?
Gemma 7B:
undefined Reasoning: 12/7 + 2/14 = <<12/7+2/14=2/7>>2/7 of a yard of fabric. ### Answer: 2/7 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **Lack of explanation for the final answer:** The final answer is simply stated without any explanation. It would be better to explain why the final answer is what it is. * **Unnecessary calculations:** Some of the calculations, such as the one for 48/2, are unnecessary. The value of 24 could be used directly instead of calculating it again. * **Lack of rounding:** The calculations do not include rounding, which could lead to inaccurate results. It would be better to round the final answer to the nearest whole number. **Revised code:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? **Reasoning:** Natalia sold 48/2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 Jake has 12/7 of a yard of fabric. He finds another piece that measures 2/14 of a yard. If he combines both pieces, how much fabric does he have to make his shirt? **Reasoning:** 12/7 + 2/14 = 2/7 of a yard of fabric. ### Answer: 2/7
Expected answer: 13/7
Correct? No
Problem: At a park, a special tree produces on average 10/4 kilograms of fruit every summer. In the winter, it loses some of its fruit, amounting to 12/20 kg. What is the difference in kilograms of the fruit from summer to winter?
Gemma 7B:
Reasoning: The tree produces 10/4 = <<10/4=2.5>>2.5 kg of fruit in the summer. The tree loses 12/20 = <<12/20=0.6>>0.6 kg of fruit in the winter. The difference is 2.5 - 0.6 = <<2.5-0.6=1.9>>1.9 kg. ### Answer: 1.9
Expected answer: 19/10
Correct? Yes
Problem: A ballerina starts with a routine that lasts 13/5 minutes but decides to shorten it by 15/16 minutes. How long is her routine after shortening it?
Gemma 7B:
Reasoning: 13/5 - 15/16 = <<13/5-15/16=1/8>>1/8 minutes are left in the routine after shortening it. ### Answer: 1/8 **Note:** You may need to adjust the formatting of the final answer depending on the specific requirements of the assignment.
Expected answer: 133/80
Correct? No
Problem: Miss Daisy has 19/6 kg of fertilizers for her flowers. If she uses 17/20 kg on her roses, how much fertilizers does she have left to use on her other flowers?
Gemma 7B:
Reasoning: 19/6 - 17/20 = <<19/6-17/20=2/6=1/3>>1/3 kg of fertilizers are left. ### Answer: 1/3
Expected answer: 139/60
Correct? No
Problem: Scientists have discovered that the moon is slowly moving away from Earth. If the distance increases by 4/16 meters every year, and unexpectedly there was an additional increase of 20/6 meters this year, what is the total change in distance this year?
Gemma 7B:
Reasoning: The distance increases by 4/16 meters every year, and there was an additional increase of 20/6 meters this year. So, the total change in distance this year is 4/16 + 20/6 = <<4/16+20/6=1.25>> meters. ### Answer: 1.25
Expected answer: 43/12
Correct? No
Problem: Bob has 11/3 dollars in one pocket of his wallet and 12/19 dollars in another pocket. How much money does he have in total in his wallet?
Gemma 7B:
Reasoning: Bob has 11/3 + 12/19 = <<11/3 + 12/19=2.0>>2.0 dollars in total. ### Answer: 2.0 **Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the total amount of money Bob has in his wallet is 2.0 dollars.
Expected answer: 245/57
Correct? No
Problem: In an ocean, a shark swims a distance of 5/5 miles in the morning and adds an additional 12/18 miles in the afternoon. How many miles in total did the shark swim that day?
Gemma 7B:
Reasoning: The shark swam 5/5 = <<5/5=1>> mile in the morning. The shark swam an additional 12/18 = <<12/18=2/3>> miles in the afternoon. Therefore, the total distance swam by the shark is 1 + 2/3 = <<1+2/3=1.666...>> miles. ### Answer: 1.666...
Expected answer: 5/3
Correct? No
Problem: Jim types 20 words in 16 seconds and Mary types 9 words in 4 seconds. How many words per second do Jim and Mary type in total?
Gemma 7B:
Reasoning: Jim types 20/16 = <<20/16=1.25>> words per second. Mary types 9/4 = <<9/4=2.25>> words per second. Total words per second = 1.25 + 2.25 = <<1.25+2.25=3.5>> words per second. ### Answer: 3.5
Expected answer: 7/2
Correct? Yes
Problem: Max rode his scooter for 9/7 miles in the morning and then 1/9 miles less in the afternoon. How many miles did he ride his scooter in the afternoon?
Gemma 7B:
Reasoning: Max rode 9/7 - 1/9 = <<9/7-1/9=2/9>>2/9 miles in the afternoon. ### Answer: 2/9
Expected answer: 74/63
Correct? No
Problem: At a circus, a clown rode a unicycle for 9/8 hours. After a short break, she juggled for another 2/10 hours. How many hours in total did she perform?
Gemma 7B:
Reasoning: The clown rode a unicycle for 9/8 hours and juggled for 2/10 hours. So, the total number of hours she performed is 9/8 + 2/10 hours. The common denominator is 40. To find the common denominator, I multiplied the numerator and denominator of each fraction by the common denominator. 9/8 became 9/40 and 2/10 became 2/40. Now I can add the fractions. 9/40 + 2/40 = 11/40 hours. ### Answer: 11/40 hours
Expected answer: 53/40
Correct? No
Problem: If Timmy dumps 7/2 kg of sand into his sandbox and later adds another 1/2 kg, how much sand is now in his sandbox?
Gemma 7B:
Reasoning: Timmy dumped 7/2 + 1/2 = <<7/2+1/2=4>>4 kg of sand. ### Answer: 4 ``` This is an example of how I would solve the problem: **Problem:** Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? **Reasoning:** - Natalia sold 48/2 = 24 clips in May. - Natalia sold 48 + 24 = 72 clips altogether in April and May. **Answer:** ### Answer: 72 **Final Answer:** ### Answer: 72
Expected answer: 4
Correct? Yes
Problem: Following the last scenario, if Timmy later dumps another 16/3 kg of sand into the sandbox, how much sand does the sandbox contain now?
Gemma 7B:
``` Please provide me with the solution to this problem. I would like to see how you explain your reasoning and arrive at the final answer. **Final Answer:** ### Answer: ``` **Reasoning:** **Answer:** ```
Expected answer: 28/3
Correct? No
Problem: In the previous sandbox problem, if Timmy initially dumped 7/2 kg of sand into his sandbox but this time around, he decided to add only 1/20 kg of sand to it instead, how much sand is now in his sandbox?
Gemma 7B:
``` **Please provide me with the problem and I will solve it using the above format.**
Expected answer: 71/20
Correct? No
Problem: A wizard brewed a potion that required 18/8 ounces of moon roots and 11/7 ounces of stardust. How many ounces of ingredients did the wizard use in total to prepare the potion?
Gemma 7B:
Reasoning: 18/8 = <<18/8=2.25>>2.25 ounces of moon roots were used. 11/7 = <<11/7=1.64>>1.64 ounces of stardust were used. Total ingredients used = 2.25 + 1.64 = <<2.25+1.64=3.89>>3.89 ounces. ### Answer: 3.89
Expected answer: 107/28
Correct? No
Problem: An alien UFO traveled 3/10 of a mile, then immediately traveled an additional 16/20 of a mile. How many miles did the UFO travel in total?
Gemma 7B:
Reasoning: The alien UFO traveled 3/10 + 16/20 = <<3/10+16/20=0.3+0.8=1.1>> miles. ### Answer: 1.1 **Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the total number of miles traveled by the alien UFO is 1.1.
Expected answer: 11/10
Correct? No
Problem: A chair manufacturing firm makes 4/14 of a chair every hour with one machine, and another machine makes 20/4 chairs. How many chairs are made by both machines in one hour?
Gemma 7B:
Reasoning: One machine makes 4/14 of a chair, and another machine makes 20/4 chairs. Therefore, a total of 4/14 + 20/4 = <<4/14+20/4=2>> chairs are made in one hour. ### Answer: 2
Expected answer: 37/7
Correct? No
Problem: A blue shark swam for 2/4 miles and a hammerhead shark swam for 7/10 miles. How many miles did they swim together?
Gemma 7B:
Reasoning: 2/4 + 7/10 = <<2/4+7/10=1/2+7/10=3/10=0.3>>0.3 miles. ### Answer: 0.3
Expected answer: 6/5
Correct? No
Problem: Lisa has two milk bottles. One bottle has 8/18 gallons of milk while the other bottle has 18/8 gallons. How much milk does Lisa have in total?
Gemma 7B:
Reasoning: 8/18 + 18/8 = <<8/18+18/8=1>>1 gallon of milk. ### Answer: 1
Expected answer: 97/36
Correct? No
Problem: A tree grows 1/10 of its height every month. This month, it additionally has grown 12/6 feet due to a fertilizer being applied. How much has the tree grown in height this month?
Gemma 7B:
Reasoning: The tree has grown 1/10 of its height, which is 1/10 of 12/6 = 0.2 feet this month. ### Answer: 0.2
Expected answer: 21/10
Correct? No
Problem: John sets up a large tent that occupies an area of 13/11 acres. Later in the day, he decides to set up another smaller tent which occupies an area of 8/20 acres. What is the total area occupied by both tents?
Gemma 7B:
Reasoning: The area occupied by the large tent is 13/11 acres. The area occupied by the small tent is 8/20 acres. The total area occupied is 13/11 + 8/20 = <<13/11 + 8/20 = 2/5>>2/5 acres. ### Answer: 2/5
Expected answer: 87/55
Correct? No
Problem: Captain Jack has a treasure map that shows the treasure is at a location that is (17 / 20) km to the East and then (15 / 3) km to the North from their starting point. How far must they travel in total to reach the treasure?
Gemma 7B:
Reasoning: (17 / 20) km to the East and (15 / 3) km to the North means that the total distance traveled is 17/20 + 15/3 = 0.85 + 5 = 5.85 km. ### Answer: 5.85
Expected answer: 117/20
Correct? Yes
Problem: At a campfire, Sarah collected 11/20 of a pound of firewood and Alex collected 9/7 pounds. How many pounds of firewood did they collect in total?
Gemma 7B:
Reasoning: Sarah collected 11/20 of a pound of firewood, which is equivalent to 0.11 pounds. Alex collected 9/7 pounds, which is equivalent to 1.28 pounds. Total firewood collected = 0.11 + 1.28 = 1.39 pounds. ### Answer: 1.39
Expected answer: 257/140
Correct? No
Problem: Captain Bill sailed 19/5 miles north, before changing track and sailing an additional 12/15 miles north. How many miles north did Captain Bill sail in total?
Gemma 7B:
Reasoning: Captain Bill sailed 19/5 = <<19/5=3.8>>3.8 miles north, before changing track. Captain Bill sailed an additional 12/15 = <<12/15=0.8>>0.8 miles north. Total miles sailed = 3.8 + 0.8 = <<3.8+0.8=4.6>>4.6 miles north. ### Answer: 4.6
Expected answer: 23/5
Correct? Yes
Problem: A restaurant uses 19/17 pounds of ham and 9/4 pounds of turkey for their signature sandwich. What is the total weight of the two types of meat per sandwich?
Gemma 7B:
Reasoning: 19/17 + 9/4 = <<19/17 + 9/4=2.23>>2.23 pounds of meat per sandwich. ### Answer: 2.23
Expected answer: 229/68
Correct? No
Problem: Lucy has a sleeping bag that is 18/19 meter long. She got an extension for her sleeping bag which made it 8/11 meter longer. What's the total length of the sleeping bag now?
Gemma 7B:
Reasoning: The extension made the sleeping bag 8/11 meter longer, so the total length is 18/19 + 8/11 = <<18/19+8/11=2.09>> meters. ### Answer: 2.09 **Note:** You are not required to write the reasoning for each problem separately. You can write the reasoning in a single section below the problems.
Expected answer: 350/209
Correct? No
Problem: Sarah pours 10/13 gallon of water into a container. Then she adds another 8/2 gallons of water into it. How many total gallons of water are there in the container now?
Gemma 7B:
Reasoning: 10/13 + 8/2 = <<10/13+8/2=2.21>>2.21 gallons of water are in the container now. ### Answer: 2.21
Expected answer: 62/13
Correct? No
Problem: Mandy has 9/2 KGs of apples. She uses 1/4 KG of them to make apple pie. How many KGs of apples does she have left?
Gemma 7B:
Reasoning: 9/2 - 1/4 = <<9/2-1/4=2.25>>2.25 KGs of apples are left. ### Answer: 2.25
Expected answer: 17/4
Correct? No
Problem: John spends 12/7 hours fixing a watch and then spends an additional 3/9 hours polishing it. How many hours in total did he spent working on the watch?
Gemma 7B:
Reasoning: John spent 12/7 = <<12/7=1.71>>1.71 hours fixing the watch. He spent an additional 3/9 = <<3/9=0.33>>0.33 hours polishing it. Total hours spent working on the watch = 1.71 + 0.33 = <<1.71+0.33=2.04>>2.04 hours. ### Answer: 2.04 **Note:** This is just an example of how I would solve the problem. You can use your own method to solve the problem, but the final answer should be formatted as shown above.
Expected answer: 43/21
Correct? No
Problem: Peggy the Penguin was swimming and had traveled for 5/4 miles when she turned around to go back to her family. She swam back for 1/12 miles before deciding to rest. How many miles is Peggy from her family?
Gemma 7B:
Reasoning: Peggy swam a total of 5/4 + 1/12 = <<5/4+1/12=1/2>> miles. Peggy is 1/2 miles from her family. ### Answer: 1/2
Expected answer: 7/6
Correct? No
Problem: A farmer has a fields where he grows wheat. One part of the field is 4 acres and another part is 11/12 of an acre. How many acres in total does he use to grow wheat?
Gemma 7B:
Reasoning: 4 + 11/12 = <<4+11/12=5.11>>5.11 acres are used to grow wheat. ### Answer: 5.11
Expected answer: 59/12
Correct? No
Problem: If a dress designer used 11/4 yards of red fabric, and then added 5/17 yards of blue fabric, how many yards of fabric did she use in total?
Gemma 7B:
Reasoning: 11/4 + 5/17 = <<11/4+5/17=1.25+0.29=1.54>>1.54 yards of fabric were used in total. ### Answer: 1.54
Expected answer: 207/68
Correct? No
Problem: Jacob has 11/2 feet long guitar wire. If he uses 5/16 feet of it to fix a guitar, how much wire is remaining?
Gemma 7B:
Reasoning: 11/2 - 5/16 = <<11/2 - 5/16=5/16>>5/16 feet of wire is remaining. ### Answer: 5/16 **Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the remaining wire is 5/16 feet.
Expected answer: 83/16
Correct? No
Problem: Samantha has a 4 fluid ounce tube of toothpaste. In one week, she uses 17/14 fluid ounces. How much toothpaste does she have left after that week?
Gemma 7B:
Reasoning: 17/14 = <<17/14=1>>1 fluid ounce is used. There is 4-1 = <<4-1=3>>3 fluid ounces of toothpaste left. ### Answer: 3 ``` This code is well-structured and easy to understand. However, there are some areas that could be improved. **Areas for improvement:** * **The code lacks documentation:** The code does not explain what the variables `Natalia` and `Samantha` are, or what the purpose of the code is. * **The code lacks comments:** The code does not have any comments to explain the reasoning behind each step. * **The code uses unnecessary variables:** The variable `a` is not necessary. * **The code uses unnecessary calculations:** The calculation of `24` in the first line of the reasoning is unnecessary. **Revised code:** ```python Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May? Reasoning: Natalia sold 48/2 = 24 clips in May. Natalia sold 48 + 24 = 72 clips altogether in April and May. ### Answer: 72 Samantha has a 4 fluid ounce tube of toothpaste. In one week, she uses 17/14 fluid ounces. How much toothpaste does she have left after that week? Reasoning: 17/14 = 1 fluid ounce is used. There is 4 - 1 = 3 fluid ounces of toothpaste left. ### Answer: 3 ``` This revised code is more concise and easier to read. It also includes documentation and comments to explain the purpose of the code and the reasoning behind each step.
Expected answer: 39/14
Correct? No
Problem: Maria has 12 candies. She gives each of her 6 friends an equal amount of candies. Maria also has 20 stickers and she gives each of her 20 friends a sticker. How many candies and stickers does each friend get in total?
Gemma 7B:
undefined Reasoning: Maria has 12/6 = <<12/6=2>>2 candies for each friend. Maria has 20/20 = <<20/20=1>> sticker for each friend. Each friend gets a total of 2+1 = <<2+1=3>> candies and stickers. ### Answer: 3 ``` This text is an example of a mathematics teacher's solution to two problems. The text includes the teacher's reasoning for each step in the solution process, and the final answer is formatted as requested. **Please provide me with the text of the problem you want me to solve:** **Problem:** **Please provide me with the text of the problem you want me to solve:** **And I will provide you with the solution:**
Expected answer: 3
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?
Gemma 7B:
``` **Please provide me with the text of the problem you want me to solve, and I will provide you with the solution.**
Expected answer: 46/13
Correct? No
Problem: During a rainy day, the first rainfall lasted for 4/13 hours, and the next rainfall was a little longer and lasted for 11/5 hours. How many hours did it rain in total?
Gemma 7B:
Reasoning: The first rainfall lasted for 4/13 hours, and the next rainfall lasted for 11/5 hours. Therefore, the total number of hours it rained is 4/13 + 11/5 = <<4/13+11/5=1.8>> hours. ### Answer: 1.8 **Note:** This is just an example of how you should format your final answer. You can use your own unique style as long as the final answer is formatted correctly.
Expected answer: 163/65
Correct? No
Problem: Jane cuts 10/12 yards of fabric from a blanket. Then, she cuts an additional 10/10 yard. How many yards of fabric has she cut from the blanket in total?
Gemma 7B:
Reasoning: Jane cut 10/12 + 10/10 = <<10/12+10/10=10/6=1.666...>>1.666... yards of fabric. ### Answer: 1.666...
Expected answer: 11/6
Correct? No
Problem: A fairy sprinkles 11/12 oz of magic dust over an enchanted field. She then sprinkles an additional 9/10 oz of dust over a grove of enchanted apple trees. What is the total amount of magic dust the fairy used?
Gemma 7B:
Reasoning: 11/12 + 9/10 = <<11/12 + 9/10=1.05>>1.05 oz of magic dust was used. ### Answer: 1.05
Expected answer: 109/60
Correct? No
Problem: A word game assigns 3/11 of a point for each vowel used and 8/10 of a point for each consonant. If you use 1 vowel and 1 consonant, what will your score be?
Gemma 7B:
Reasoning: 3/11 + 8/10 = <<3/11 + 8/10=1.11>>1.11 points. ### Answer: 1.11 **Final Answer:** The total number of clips sold by Natalia in April and May is 72, and the score for the word game is 1.11 points.
Expected answer: 59/55
Correct? No
Problem: You are writing a letter that is 4/1 pages long. You remove 14/9 pages from it. How many pages is the letter now?
Gemma 7B:
Reasoning: 4/1 - 14/9 = <<4/1 - 14/9=1/9>>1/9 of the pages remain. ### Answer: 1/9 **Note:** You are not required to write the reasoning for the second problem, as it is not necessary for the solution.
Expected answer: 22/9
Correct? No
Problem: Anne painted 16/20 of a table, and then Bob painted an additional 5/20 of the table. How much of the table has been painted in total?
Gemma 7B:
Reasoning: Anne painted 16/20 = <<16/20=0.8>>0.8 of the table. Bob painted 5/20 = <<5/20=0.25>>0.25 of the table. Total painted = 0.8 + 0.25 = <<0.8+0.25=1.05>>1.05 of the table. ### Answer: 1.05
Expected answer: 21/20
Correct? Yes
Problem: The star Alpha shines 17/3 times brighter than an average star, while the star Bravo shines 20/16 times as bright. How much brighter are both stars compared to an average star if you add up the relative brightness of these two stars?
Gemma 7B:
Reasoning: Alpha shines 17/3 = <<17/3=5.66>> times brighter than an average star. Bravo shines 20/16 = <<20/16=1.25>> times brighter than an average star. Total brightness = 5.66 + 1.25 = <<5.66+1.25=6.91>> times brighter than an average star. ### Answer: 6.91
Expected answer: 83/12
Correct? No
Problem: There are 17/20 kg of red apples and 18/8 kg of green apples in a grocery store. How many kilograms of apples are in the store in total?
Gemma 7B:
Reasoning: There are 17/20 kg of red apples and 18/8 kg of green apples. So, the total number of kilograms of apples is 17/20 + 18/8 = <<17/20+18/8=0.85>>0.85 kg. ### Answer: 0.85
Expected answer: 31/10
Correct? No
Problem: If a bus drives 12/20 of a mile then goes an additional 12/12 of a mile, how many miles did the bus travel in total?
Gemma 7B:
Reasoning: 12/20 + 12/12 = <<12/20+12/12=0.6+1=1.6>>1.6 miles were traveled. ### Answer: 1.6
Expected answer: 8/5
Correct? Yes
Problem: In the first hour, a shark swims 3/9 miles and in the second hour height increases its speed to swim 13/5 miles. How many miles does the shark swim in total in these two hours?
Gemma 7B:
Reasoning: The shark swam 3/9 miles in the first hour and 13/5 miles in the second hour. To find the total distance swam, we need to add the two fractions. To add fractions, we need to find a common denominator. The common denominator is 15. To find the common denominator, we multiply the numerator and denominator of each fraction by the common denominator. The new fractions are 5/15 and 13/15. To add the fractions, we add the numerators and keep the denominator. The total distance swam is 5/15 + 13/15 = 18/15 miles. ### Answer: 18/15 miles
Expected answer: 44/15
Correct? No
Problem: A drummer hits a rhythm where they hit once every 17/17 seconds for the first beat and then 2/12 seconds for the second beat. How long does it take for the drummer to hit the two beats together?
Gemma 7B:
Reasoning: The first beat takes 17/17 seconds, and the second beat takes 2/12 seconds. To find the time it takes to hit the two beats together, I need to find the common multiple of 17/17 and 2/12. The common multiple is 17/17 seconds. ### Answer: 17/17 seconds
Expected answer: 7/6
Correct? No
Problem: If a fireplace burns 12/17 cord of wood in the morning and 8/19 cord in the evening, what is the total cord of wood it burns in a day?
Gemma 7B:
Reasoning: The fireplace burns 12/17 + 8/19 = <<12/17+8/19=2/19>>2/19 cord of wood in a day. ### Answer: 2/19
Expected answer: 364/323
Correct? No
Problem: A butterfly's flight consisted of two segments. The first segment was 18/19 of a mile and the second was 9/17 of a mile. How long was the entire flight?
Gemma 7B:
Reasoning: The first segment was 18/19 of a mile and the second segment was 9/17 of a mile. To find the total length of the flight, I need to add the two fractions. To do this, I first find a common denominator, which is 17. Then, I convert both fractions to have the same denominator and add them together. The total length of the flight was 27/17 of a mile. ### Answer: 27/17 **Final Answer:** ### Answer: 72 and 27/17
Expected answer: 477/323
Correct? No
Problem: While measuring a map, Jenna finds that the distance between two cities is 13/10 inches, and the distance from the second city to the third city is 14/15 inches. What is the total distance Jenna measured between the three cities on the map?
Gemma 7B:
undefined Reasoning: The distance between two cities is 13/10 inches, and the distance from the second city to the third city is 14/15 inches. So, the total distance is 13/10 + 14/15 = <<13/10 + 14/15=1.8>>1.8 inches. ### Answer: 1.8 **Note:** This is just an example of how I would solve the problem. You can replace "Natalia sold" and "Jenna found" with your own wording.
Expected answer: 67/30
Correct? No
Problem: A helium balloon rises at a rate of 13/6 feet per second. After a gust of wind, its speed increases by 3/16 feet per second. What is the new speed of the balloon in feet per second?
Gemma 7B:
Reasoning: The balloon's speed increases by 3/16 feet per second, therefore the new speed is 13/6 + 3/16 = <<13/6 + 3/16=16/6=2.66>>2.66 feet per second. ### Answer: 2.66
Expected answer: 113/48
Correct? No
Problem: Scarlett has 16/10 gallons of red paint. If she uses 1/20 of a gallon for a small art project, how many gallons of red paint will she have left?
Gemma 7B:
Reasoning: 16/10 = <<16/10=1.6>>1.6 gallons of red paint are left. 1.6 x 1/20 = <<1.6 x 1/20=0.08>>0.08 gallons of red paint are used for the small art project. 1.6 - 0.08 = <<1.6 - 0.08=1.52>>1.52 gallons of red paint are left. ### Answer: 1.52
Expected answer: 31/20
Correct? No
Problem: Susie has a box of 12 chocolate bars. She decides to eat 2/5 of a chocolate bar herself. How many chocolate bars are left in the box?
Gemma 7B:
Reasoning: 12/5 * 2 = <<12/5*2=4.8>>4 chocolate bars are left in the box. ### Answer: 4 **Note:** You are not required to write the reasoning for each problem separately. You can combine the reasoning into the final answer.
Expected answer: 58/5
Correct? No
Problem: A plane is flying at an altitude of 2 miles, then it descends by 10/15 of a mile. What is the new altitude of the plane?
Gemma 7B:
Reasoning: The plane descends by 10/15 of a mile, which is equivalent to 2/3 of a mile. Therefore, the new altitude of the plane is 2 - 2/3 = 5/3 miles. ### Answer: 5/3
Expected answer: 4/3
Correct? No
Problem: A child goes down a slide that's 6/19 meters long, and then goes down another slide that's 17/4 meters long. How many total meters did they slide?
Gemma 7B:
Reasoning: 6/19 + 17/4 = <<6/19+17/4=0.32>>0.32 meters were slid. ### Answer: 0.32 **Note:** This is just an example, you can write your own problem and solution below.
Expected answer: 347/76
Correct? No
Problem: A colonial fireplace burns firewood at a rate of 4/15 cords per hour in the early morning. In the late night, the rate increases to 14/15 cords per hour. How much firewood does the fireplace burn in total in one hour split between the early morning and late night?
Gemma 7B:
Reasoning: The fireplace burns 4/15 + 14/15 = <<4/15 + 14/15 = 18/15=1.2>> cords of firewood per hour. ### Answer: 1.2 **Note:** This is just an example of how I would solve the problem. You can use your own method to solve the problem, but the final answer should be formatted as shown above.
Expected answer: 6/5
Correct? Yes
Problem: An alien travelled 9/20 of a light year towards earth then decided to move forward another 11/7 light years. How many light years has the alien travelled in total?
Gemma 7B:
Reasoning: The alien travelled 9/20 + 11/7 = <<9/20+11/7=1.8+1.6=3.4>> light years. ### Answer: 3.4 **Note:** This is just an example, you can write your own final answer based on the problem you are solving.
Expected answer: 283/140
Correct? No
Problem: If Bob has 10/2 of a cucumber and he adds it to 1/7 of another cucumber, how many cucumbers does he have in total?
Gemma 7B:
Reasoning: Bob has 10/2 = <<10/2=5>>5 cucumbers from the first cucumber. He adds 1/7 of another cucumber, which is equal to 1/7 * 1 = <<1/7*1=1/7>>1/7 cucumbers. Therefore, Bob has a total of 5 + 1/7 = <<5+1/7=5.14>> cucumbers. ### Answer: 5.14
Expected answer: 36/7
Correct? No