Math: Can You Solve The Fraction Word Problem?

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 fraction compared to John's 5/8.

Explanation

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

2. 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

To find the fraction of markers with black ink, you need to determine how many markers had black ink out of the total number of markers, which is 24 in this case.

You know that 7 markers had green ink and 15 had red ink, so to find the number with black ink:

Total markers - (Markers with green ink + Markers with red ink) = Markers with black ink

24 - (7 + 15) = 24 - 22 = 2 markers had black ink.

So, 2 out of the 24 markers had black ink. To express this as a fraction, you can write it as 2/24, which can be simplified to 1/12. Therefore, 1/12 of the markers had black ink.

Explanation

To find the fraction of markers with black ink, you need to determine how many markers had black ink out of the total number of markers, which is 24 in this case.

You know that 7 markers had green ink and 15 had red ink, so to find the number with black ink:

Total markers - (Markers with green ink + Markers with red ink) = Markers with black ink

24 - (7 + 15) = 24 - 22 = 2 markers had black ink.

So, 2 out of the 24 markers had black ink. To express this as a fraction, you can write it as 2/24, which can be simplified to 1/12. Therefore, 1/12 of the markers had black ink.

3. 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 pizza they ate all together, we need to add their individual portions. When we add 4/5 and 1/10, we get a common denominator of 10. So, 4/5 can be written as 8/10. Adding 8/10 and 1/10 gives us 9/10. Therefore, Lydia and Mark ate a total of 9/10 of a pizza all together.

Explanation

Lydia ate 4/5 of a pizza and Mark ate 1/10 of a pizza. To find out how much pizza they ate all together, we need to add their individual portions. When we add 4/5 and 1/10, we get a common denominator of 10. So, 4/5 can be written as 8/10. Adding 8/10 and 1/10 gives us 9/10. Therefore, Lydia and Mark ate a total of 9/10 of a pizza all together.

4. 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. When we subtract 2 1/2 hours from 3 1/4 hours, we get 3/4 hour. 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. When we subtract 2 1/2 hours from 3 1/4 hours, we get 3/4 hour. Therefore, Mary took 3/4 hour longer than Holly to complete the race.

5. 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, while Chris ate 1/4 of his chocolate bars. Since 1/5 is smaller than 1/4, Mark has more chocolate bars left.

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, while Chris ate 1/4 of his chocolate bars. Since 1/5 is smaller than 1/4, Mark has more chocolate bars left.

6. 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

1/6 of her money

Explanation

7. 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 wants to buy 3 pounds of apples. The cost for one pound of apples is 1 1/2 dollars. To find the total cost, we need to multiply the cost of one pound by the number of pounds. 1 1/2 dollars multiplied by 3 gives us 4 1/2 dollars, which is the total cost for 3 pounds of apples. Therefore, the answer is 4 1/2 dollars.

Explanation

Hank went to the cider mill and wants to buy 3 pounds of apples. The cost for one pound of apples is 1 1/2 dollars. To find the total cost, we need to multiply the cost of one pound by the number of pounds. 1 1/2 dollars multiplied by 3 gives us 4 1/2 dollars, which is the total cost for 3 pounds of apples. Therefore, the answer is 4 1/2 dollars.

8. 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

If 5/8 of the students were girls, then 3/8 of the students must be boys. Since the total number of students in the student council is 40, we can calculate the number of boys by multiplying 3/8 by 40. This gives us (3/8) * 40 = 15 boys. Therefore, the correct answer is 15 boys.

Explanation

If 5/8 of the students were girls, then 3/8 of the students must be boys. Since the total number of students in the student council is 40, we can calculate the number of boys by multiplying 3/8 by 40. This gives us (3/8) * 40 = 15 boys. Therefore, the correct answer is 15 boys.

9. 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 the fraction of tape left, we need to subtract the fractions used from the whole roll of tape. 1/4 + 1/8 = 3/8 of the tape was used. Therefore, the fraction of tape left is 1 - 3/8 = 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 the fraction of tape left, we need to subtract the fractions used from the whole roll of tape. 1/4 + 1/8 = 3/8 of the tape was used. Therefore, the fraction of tape left is 1 - 3/8 = 5/8 meter.

10. 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 of the brownies to her neighbor, the total fraction of brownies taken is 1/12 + 7/12 = 8/12. To find the fraction of brownies left, we subtract this fraction from 1 (whole pan). 1 - 8/12 = 4/12. Simplifying this fraction, we get 1/3. Therefore, 1/3 pan of brownies were left.

Explanation

After Mrs. Estes ate 1/12 of the brownies and gave 7/12 of the brownies to her neighbor, the total fraction of brownies taken is 1/12 + 7/12 = 8/12. To find the fraction of brownies left, we subtract this fraction from 1 (whole pan). 1 - 8/12 = 4/12. Simplifying this fraction, we get 1/3. Therefore, 1/3 pan of brownies were left.