Fraction Problems With Answers
Practice fraction problems with answers, including simplifying, equivalent fractions, operations, and word problems.
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Simplifying Problems
| # | Problem |
|---|---|
| 1 | Simplify 8/12. |
| 2 | Simplify 14/21. |
| 3 | Simplify 18/30. |
| 4 | Simplify 27/36. |
| 5 | Simplify 35/50. |
Equivalent Fraction Problems
| # | Problem |
|---|---|
| 6 | Write an equivalent fraction for 3/4 using denominator 8. |
| 7 | Write an equivalent fraction for 2/5 using denominator 20. |
| 8 | Write an equivalent fraction for 5/6 using denominator 18. |
| 9 | Write an equivalent fraction for 7/10 using denominator 100. |
| 10 | Write an equivalent fraction for 4/9 using denominator 27. |
Operations
| # | Problem |
|---|---|
| 11 | 1/3 + 1/6 |
| 12 | 2/5 + 3/10 |
| 13 | 5/8 - 1/4 |
| 14 | 3/4 x 2/5 |
| 15 | 4/9 / 2/3 |
Word Problems
| # | Problem |
|---|---|
| 16 | Mia reads 1/4 of a book on Monday and 1/4 on Tuesday. What fraction did she read? |
| 17 | A recipe uses 2/3 cup of oats. Half the recipe uses how much oats? |
| 18 | A ribbon is 5/6 meter long. If 1/3 meter is cut off, how much remains? |
| 19 | A class finished 3/5 of a project. What equivalent fraction has denominator 20? |
| 20 | A runner completes 7/8 mile, then 1/8 more. How far did the runner go? |
Answer Key
| # | Answer |
|---|---|
| 1 | 2/3 |
| 2 | 2/3 |
| 3 | 3/5 |
| 4 | 3/4 |
| 5 | 7/10 |
| 6 | 6/8 |
| 7 | 8/20 |
| 8 | 15/18 |
| 9 | 70/100 |
| 10 | 12/27 |
| 11 | 1/2 |
| 12 | 7/10 |
| 13 | 3/8 |
| 14 | 3/10 |
| 15 | 2/3 |
| 16 | 1/2 |
| 17 | 1/3 cup |
| 18 | 1/2 meter |
| 19 | 12/20 |
| 20 | 1 mile |
Step-by-Step Solutions
Problem 12: 2/5 = 4/10, and 4/10 + 3/10 = 7/10.
Problem 15: Divide by multiplying by the reciprocal: 4/9 / 2/3 = 4/9 x 3/2 = 12/18 = 2/3.
Problem 18: 5/6 - 1/3 = 5/6 - 2/6 = 3/6 = 1/2.