Practice Problems: Fractions

Welcome back to our series on fractions! In this article, we’ve got a selection of practice problems broken down by difficulty levels—easy, medium, and hard. This will not only help you reinforce what you’ve learned so far but also allow you to evaluate your understanding of fractions comprehensively. Let’s dive into the problems and get that fraction practice!

Easy Problems

Problem 1

What is 1/2 + 1/3?

Problem 2

Subtract: 3/4 - 1/4.

Problem 3

Multiply: 2/3 × 3/5.

Problem 4

Divide: 4/5 ÷ 1/2.

Problem 5

Convert the following to a fraction: 0.75.

Problem 6

Add the fractions: 1/8 + 1/8.

Problem 7

What is 2/3 - 1/6?

Problem 8

Calculate the following: 5/6 × 2.

Problem 9

Find the sum: 3/5 + 2/5.

Problem 10

What is 7/8 - 3/8?

Medium Problems

Problem 11

What is 3/4 + 1/2? Provide your answer in simplest form.

Problem 12

Subtract the fractions: 5/6 - 2/3.

Problem 13

Multiply: 1/2 × 4/7. Simplify your answer.

Problem 14

Divide: 9/10 ÷ 3/5.

Problem 15

Add: 1/3 + 3/4. Express your answer as a mixed number if necessary.

Problem 16

Subtract: 2/5 - 1/10.

Problem 17

Multiply: 3/8 × 2/3.

Problem 18

What is 7/12 + 1/4? Simplify your answer.

Problem 19

Calculate the difference: 5/9 - 1/3.

Problem 20

Divide: 8/15 ÷ 4/5. What do you get?

Hard Problems

Problem 21

If 5/6 of a pizza is left and you eat 1/3 of what is left, how much pizza will you have eaten?

Problem 22

A recipe requires 2/5 cup of sugar. If you want to make 3 times the recipe, how much sugar will you need?

Problem 23

Add: 4/7 + 5/14 + 1/2. Ensure your answer is in simplest form.

Problem 24

A class has 2/3 of a bag of flour. If they use 1/4 of that for a cake, how much flour is left?

Problem 25

Triple the fraction: 3/5. What is the result?

Problem 26

Subtract: 1 - 3/8 and express your answer as a fraction.

Problem 27

Multiply: 11/12 × 3/4. What is the simplest form?

Problem 28

If you have 7/10 of a cup of oil and you use 1/5 of it, how much oil do you have left?

Problem 29

Divide 1 3/4 by 2. Express your answer as a mixed number.

Problem 30

A ribbon is 3/4 of a yard long. If you cut off 1/3 of it, how much ribbon remains?

Solutions

Easy Solutions

1. 1/2 + 1/3 = 5/6
2. 3/4 - 1/4 = 1/2
3. 2/3 × 3/5 = 2/5
4. 4/5 ÷ 1/2 = 8/5 or 1 3/5
5. 0.75 = 3/4
6. 1/8 + 1/8 = 1/4
7. 2/3 - 1/6 = 1/2
8. 5/6 × 2 = 5/3 or 1 2/3
9. 3/5 + 2/5 = 1
10. 7/8 - 3/8 = 1/2

Medium Solutions

11. 3/4 + 1/2 = 5/4 or 1 1/4
12. 5/6 - 2/3 = 1/6
13. 1/2 × 4/7 = 2/7
14. 9/10 ÷ 3/5 = 3/2 or 1 1/2
15. 1/3 + 3/4 = 13/12 or 1 1/12
16. 2/5 - 1/10 = 3/10
17. 3/8 × 2/3 = 1/4
18. 7/12 + 1/4 = 11/12
19. 5/9 - 1/3 = 2/9
20. 8/15 ÷ 4/5 = 2/3

Hard Solutions

21. You will have eaten 5/18 of the pizza.
22. You will need 6/5 or 1 1/5 cups of sugar.
23. 4/7 + 5/14 + 1/2 = 16/14 or 8/7 or 1 1/7
24. There will be 1/2 of a bag of flour left.
25. The result is 9/5 or 1 4/5.
26. 1 - 3/8 = 5/8
27. 11/12 × 3/4 = 11/16
28. You have 1/2 cup of oil left.
29. The answer is 7/8.
30. You will have 1/2 yard of ribbon remaining.

This collection of problems should give you plenty of practice in working with fractions. Each solution provides a way to verify your understanding and approach towards fractions. Happy practicing, and stay tuned for more fun with fractions in our next article!