Fractions Practice | Name Date Score |
WORKED EXAMPLE Add 1/4 + 2/3 1. Find a common denominator. The least common multiple of 4 and 3 is 12. 2. Rewrite each fraction: 1/4 = 3/12 and 2/3 = 8/12. 3. Add the numerators and keep the denominator: 3/12 + 8/12 = 11/12. 4. Check that the answer is in simplest form: 11/12 cannot be reduced. |
A Simplify each fraction.
1. Simplify 6/8 | 2. Simplify 10/25 | 3. Simplify 12/18 | 4. Simplify 20/32 |
B Add. Write answers in simplest form.
5. 1/4 + 2/4 = | 6. 1/3 + 1/6 = | 7. 2/5 + 1/2 = | 8. 3/4 + 5/6 = |
C Subtract. Write answers in simplest form.
9. 5/6 − 1/6 = | 10. 3/4 − 1/3 = | 11. 7/8 − 1/2 = | 12. 9/10 − 2/5 = |
D Multiply. Write answers in simplest form.
13. 1/2 × 3/4 = | 14. 2/3 × 3/5 = | 15. 4 × 5/8 = | 16. 5/6 × 3/10 = |
E Divide. Write answers in simplest form.
17. 1/2 ÷ 1/4 = | 18. 2/3 ÷ 4/9 = | 19. 5/8 ÷ 2 = | 20. 3/5 ÷ 1/10 = |
F Word problems. Show your work.
21. A recipe uses 3/4 cup of flour for one batch. How many cups of flour are needed for 3 batches?
22. A runner ran 2/3 of a mile on Monday and 3/4 of a mile on Tuesday. How far did the runner go in all?
Answer Key
Fractions Practice. Answers are in simplest form; improper fractions are written as mixed numbers.
# | PROBLEM | WORK | ANSWER |
|---|---|---|---|
A. Simplify each fraction | |||
1 | Simplify 6/8 | Divide both by 2: 6÷2 = 3, 8÷2 = 4 | 3/4 |
2 | Simplify 10/25 | Divide both by 5: 10÷5 = 2, 25÷5 = 5 | 2/5 |
3 | Simplify 12/18 | Divide both by 6: 12÷6 = 2, 18÷6 = 3 | 2/3 |
4 | Simplify 20/32 | Divide both by 4: 20÷4 = 5, 32÷4 = 8 | 5/8 |
B. Add | |||
5 | 1/4 + 2/4 | 1/4 + 2/4 = 3/4 | 3/4 |
6 | 1/3 + 1/6 | 2/6 + 1/6 = 3/6 = 1/2 | 1/2 |
7 | 2/5 + 1/2 | 4/10 + 5/10 = 9/10 | 9/10 |
8 | 3/4 + 5/6 | 9/12 + 10/12 = 19/12 = 1 7/12 | 1 7/12 |
C. Subtract | |||
9 | 5/6 − 1/6 | 5/6 − 1/6 = 4/6 = 2/3 | 2/3 |
10 | 3/4 − 1/3 | 9/12 − 4/12 = 5/12 | 5/12 |
11 | 7/8 − 1/2 | 7/8 − 4/8 = 3/8 | 3/8 |
12 | 9/10 − 2/5 | 9/10 − 4/10 = 5/10 = 1/2 | 1/2 |
D. Multiply | |||
13 | 1/2 × 3/4 | (1×3) / (2×4) = 3/8 | 3/8 |
14 | 2/3 × 3/5 | (2×3) / (3×5) = 6/15 = 2/5 | 2/5 |
15 | 4 × 5/8 | (4×5) / (1×8) = 20/8 = 2 1/2 | 2 1/2 |
16 | 5/6 × 3/10 | (5×3) / (6×10) = 15/60 = 1/4 | 1/4 |
E. Divide | |||
17 | 1/2 ÷ 1/4 | 1/2 × 4/1 = 4/2 = 2 | 2 |
18 | 2/3 ÷ 4/9 | 2/3 × 9/4 = 18/12 = 1 1/2 | 1 1/2 |
19 | 5/8 ÷ 2 | 5/8 × 1/2 = 5/16 | 5/16 |
20 | 3/5 ÷ 1/10 | 3/5 × 10/1 = 30/5 = 6 | 6 |
F. Word problems | |||
21 | 3 × 3/4 cup | (3×3) / (1×4) = 9/4 = 2 1/4 | 2 1/4 cups |
22 | 2/3 mile + 3/4 mile | 8/12 + 9/12 = 17/12 = 1 5/12 | 1 5/12 miles |