Grade 8 Fraction Operations worksheet
from Gradelings · Name: ______________________
How to explain it
- To add or subtract, use a common denominator.
- To multiply, multiply the tops and multiply the bottoms.
- To divide, flip the second fraction and multiply.
Example: 2/3 ÷ 4/5 = ? Flip the second fraction: 5/4. 2/3 × 5/4 = 10/12. Simplify: 5/6. Answer: 5/6
Question 1
Add: 7/9 + 2/4. Type the answer as a fraction in lowest terms.
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23/18
Hint: Use a common denominator of 36: 28/36 + 18/36 = 46/36. Lowest terms: 23/18.
Question 2
Subtract: 6/8 − 4/10. Type the answer in lowest terms.
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7/20
Hint: Common denominator 40: 30/40 − 16/40 = 14/40, which is 7/20 in lowest terms.
Question 3
Multiply: 4/6 × 3/6. Type the answer in lowest terms.
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1/3
Hint: Multiply the numerators and the denominators: 4 × 3 = 12 and 6 × 6 = 36. 12/36 simplifies to 1/3.
Question 4
Divide: 3/8 ÷ 1/5. Type the answer in lowest terms.
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15/8
Hint: Dividing by a fraction means multiplying by its reciprocal: 3/8 × 5/1 = 15/8, which is 15/8.
Question 5
Write 39/6 as a mixed number.
- 5 3/6
- 3 6/6
- 6 3/6
- 7 3/6
6 3/6
Hint: Divide 39 by 6: 6 whole groups with 3 left over. The answer is 6 3/6.
Question 6
1 1/3 + 2 5/6 = ?
- 5 1/6
- 4
- 4 1/6
- 3 2/3
- 4 1/3
4 1/6
Hint: Add the whole numbers (1 + 2) and the fractions (1/3 + 5/6, using a denominator of 6), then carry if the fraction part is 1 or more. Total: 4 1/6.
Question 7
Noah has 16 stickers and gives away 2/4 of them. How many stickers does Noah give away?
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8
Hint: Find one share: 16 ÷ 4 = 4. Then take 2 of them: 2 × 4 = 8.
Question 8
Which fraction is the greatest?
- 1/2
- 2/8
- 2/10
- 4/5
4/5
Hint: Rewrite each over 40: 1/2 = 20/40, 2/8 = 10/40, 2/10 = 8/40, 4/5 = 32/40. The largest numerator wins.
Question 9
Add: 1/2 + 2/6. Type the answer as a fraction in lowest terms.
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5/6
Hint: Use a common denominator of 6: 3/6 + 2/6 = 5/6. Lowest terms: 5/6.
Question 10
Subtract: 4/6 − 1/2. Type the answer in lowest terms.
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1/6
Hint: Common denominator 6: 4/6 − 3/6 = 1/6, which is 1/6 in lowest terms.
Answer key
- 1. 23/18
- 2. 7/20
- 3. 1/3
- 4. 15/8
- 5. 6 3/6
- 6. 4 1/6
- 7. 8
- 8. 4/5
- 9. 5/6
- 10. 1/6
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