I - Fraction Word Problems

1. John got 5/8 of the test correct. Zach got 4/5 of the test correct. Who scored better on the test?

John

Zach

Zach scored better on the test because he got 4/5 of the test correct, which is a higher percentage than John's score of 5/8.

Explanation

Zach scored better on the test because he got 4/5 of the test correct, which is a higher percentage than John's score of 5/8.

2. Mark and Chris had an equal number of chocolate bars. Mark ate 1/5 of his chocolate bars. Chris ate 1/4 of his chocolate bars. Who has more chocolate bars left?

Mark

Chris

Mark has more chocolate bars left because he ate a smaller fraction of his chocolate bars compared to Chris. Mark ate 1/5 of his chocolate bars, which means he still has 4/5 of his chocolate bars left. On the other hand, Chris ate 1/4 of his chocolate bars, which means he only has 3/4 of his chocolate bars left. Therefore, Mark has more chocolate bars remaining.

Explanation

Mark has more chocolate bars left because he ate a smaller fraction of his chocolate bars compared to Chris. Mark ate 1/5 of his chocolate bars, which means he still has 4/5 of his chocolate bars left. On the other hand, Chris ate 1/4 of his chocolate bars, which means he only has 3/4 of his chocolate bars left. Therefore, Mark has more chocolate bars remaining.

3. Mrs. Smith bought 24 markers. 7 markers had green ink. 15 markers had red ink. The rest had black ink. What fraction of the markers had black ink?

1/12 had black ink

15/24 had black ink

11/12 had black ink

7/24 had black ink

The fraction of markers that had black ink is 1/12. This can be determined by subtracting the number of markers with green and red ink from the total number of markers. Since there were 7 markers with green ink and 15 markers with red ink, the total number of markers with green or red ink is 7 + 15 = 22. Therefore, the number of markers with black ink is 24 - 22 = 2. So, the fraction of markers with black ink is 2/24, which can be simplified to 1/12.

Explanation

The fraction of markers that had black ink is 1/12. This can be determined by subtracting the number of markers with green and red ink from the total number of markers. Since there were 7 markers with green ink and 15 markers with red ink, the total number of markers with green or red ink is 7 + 15 = 22. Therefore, the number of markers with black ink is 24 - 22 = 2. So, the fraction of markers with black ink is 2/24, which can be simplified to 1/12.

4. Hank went to the cider mill. The cost for one pound of apples is 1 1/2 dollars. How much would it cost for 3 pounds of apples?

3 1/2 dollars

3 1/4 dollars

4 1/2 dollars

2 3/4 dollars

Hank went to the cider mill and the cost for one pound of apples is 1 1/2 dollars. To find out how much it would cost for 3 pounds of apples, we need to multiply the cost of one pound by 3. 1 1/2 dollars multiplied by 3 is equal to 4 1/2 dollars. Therefore, it would cost 4 1/2 dollars for 3 pounds of apples.

Explanation

Hank went to the cider mill and the cost for one pound of apples is 1 1/2 dollars. To find out how much it would cost for 3 pounds of apples, we need to multiply the cost of one pound by 3. 1 1/2 dollars multiplied by 3 is equal to 4 1/2 dollars. Therefore, it would cost 4 1/2 dollars for 3 pounds of apples.

5. Lydia ate 4/5 of a pizza. Mark ate 1/10 of a pizza. How much pizza did they eat all together?

8/10 of a pizza

5/15 of a pizza

9/10 of a pizza

4/50 of a pizza

Lydia ate 4/5 of a pizza and Mark ate 1/10 of a pizza. To find out how much they ate all together, we add the fractions. When we add 4/5 and 1/10, we get a common denominator of 10. Adding the numerators, we get 8/10. Therefore, Lydia and Mark ate 8/10 of a pizza together, which can be simplified to 4/5 or 9/10. So, the correct answer is 9/10 of a pizza.

Explanation

Lydia ate 4/5 of a pizza and Mark ate 1/10 of a pizza. To find out how much they ate all together, we add the fractions. When we add 4/5 and 1/10, we get a common denominator of 10. Adding the numerators, we get 8/10. Therefore, Lydia and Mark ate 8/10 of a pizza together, which can be simplified to 4/5 or 9/10. So, the correct answer is 9/10 of a pizza.

6. 40 students made the student council. 5/8 of the students were girls. How many boys made student council?

25 boys

15 boys

10 boys

20 boys

Out of the 40 students who made the student council, 5/8 of them were girls. To find the number of boys, we need to subtract the number of girls from the total number of students. If 5/8 of the students were girls, then 3/8 of the students must be boys. Therefore, the number of boys who made the student council is 3/8 of 40, which is equal to 15 boys.

Explanation

Out of the 40 students who made the student council, 5/8 of them were girls. To find the number of boys, we need to subtract the number of girls from the total number of students. If 5/8 of the students were girls, then 3/8 of the students must be boys. Therefore, the number of boys who made the student council is 3/8 of 40, which is equal to 15 boys.

7. Jamie bought a roll of tape that measured 1 meter in length. He used 1/4 of the tape to wrap his hockey stick. He used 1/8 of the tape to fix a whole in his hockey bag. What fraction of the tape was left?

1/2 meter

3/8 meter

5/8 meter

1/4 meter

Jamie used 1/4 of the tape to wrap his hockey stick and 1/8 of the tape to fix a hole in his hockey bag. To find out how much tape is left, we need to subtract the fractions used from the total length of the tape. The common denominator for 1/4 and 1/8 is 8. So, 1/4 can be written as 2/8 and 1/8 remains the same. Adding these fractions together, we get 2/8 + 1/8 = 3/8. To find the fraction of tape left, we subtract 3/8 from the whole tape length of 1 meter, which gives us 5/8 meter.

Explanation

Jamie used 1/4 of the tape to wrap his hockey stick and 1/8 of the tape to fix a hole in his hockey bag. To find out how much tape is left, we need to subtract the fractions used from the total length of the tape. The common denominator for 1/4 and 1/8 is 8. So, 1/4 can be written as 2/8 and 1/8 remains the same. Adding these fractions together, we get 2/8 + 1/8 = 3/8. To find the fraction of tape left, we subtract 3/8 from the whole tape length of 1 meter, which gives us 5/8 meter.

8. Holly completed the race in 2 1/2 hours. Mary completed the same race in 3 1/4 hours. How much longer did Mary take to complete the race than Holly?

1/4 hour

3/4 hour

1/2 hour

1/6 hour

Mary took 3 1/4 hours to complete the race, while Holly took 2 1/2 hours. To find out how much longer Mary took, we need to subtract Holly's time from Mary's time. By converting both times to a common denominator, we get Mary's time as 13/4 hours and Holly's time as 5/2 hours. Subtracting the two, we get (13/4) - (5/2) = 13/4 - 10/4 = 3/4. Therefore, Mary took 3/4 hour longer than Holly to complete the race.

Explanation

Mary took 3 1/4 hours to complete the race, while Holly took 2 1/2 hours. To find out how much longer Mary took, we need to subtract Holly's time from Mary's time. By converting both times to a common denominator, we get Mary's time as 13/4 hours and Holly's time as 5/2 hours. Subtracting the two, we get (13/4) - (5/2) = 13/4 - 10/4 = 3/4. Therefore, Mary took 3/4 hour longer than Holly to complete the race.

9. Mrs. Estes baked brownies. She ate 1/12 of the brownies in the pan and gave 7/12 of the brownies in the pan to her neighbor. What fraction of the brownies in the pan were left?

1/3 pan of brownies

1/4 pan of brownies

6/12 pan of brownies

5/6 pan of brownies

After Mrs. Estes ate 1/12 of the brownies and gave 7/12 to her neighbor, there were 4/12 (or 1/3) of the brownies left in the pan. Therefore, the fraction of brownies left in the pan is 1/3.

Explanation

After Mrs. Estes ate 1/12 of the brownies and gave 7/12 to her neighbor, there were 4/12 (or 1/3) of the brownies left in the pan. Therefore, the fraction of brownies left in the pan is 1/3.

10. Kelly spent 1/2 of her money on a DVD. She spent 1/6 of her money on a new popcorn maker. What fraction of her money did Kelly spend all together?

2/8 of her money

2/3 of her money

1/4 of her money

4/6 of her money

Kelly spent 1/2 of her money on a DVD and 1/6 of her money on a new popcorn maker. To find the fraction of her money she spent all together, we need to add these two fractions. To add fractions, we need a common denominator. The common denominator of 2 and 6 is 6. So, we can rewrite 1/2 as 3/6 and 1/6 as 1/6. Adding these fractions, we get 3/6 + 1/6 = 4/6. Therefore, Kelly spent 4/6 of her money all together.

Explanation

Kelly spent 1/2 of her money on a DVD and 1/6 of her money on a new popcorn maker. To find the fraction of her money she spent all together, we need to add these two fractions. To add fractions, we need a common denominator. The common denominator of 2 and 6 is 6. So, we can rewrite 1/2 as 3/6 and 1/6 as 1/6. Adding these fractions, we get 3/6 + 1/6 = 4/6. Therefore, Kelly spent 4/6 of her money all together.