Simplify Fractions worksheet with exercises to reduce fractions to their lowest terms.
Worksheet titled "Simplify Fractions" with multiple fraction problems to simplify, including examples like 9/6, 6/9, 10/25, and others, designed for math practice.
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Show Answer Key & Explanations
Step-by-step solution for: Simplify Fractions Worksheet (examples, answers, videos, activities)
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Show Answer Key & Explanations
Step-by-step solution for: Simplify Fractions Worksheet (examples, answers, videos, activities)
Let's simplify each fraction step by step. To simplify a fraction, we divide both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD).
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- GCD of 9 and 6 is 3
- $ \frac{9 ÷ 3}{6 ÷ 3} = \frac{3}{2} $
✔ Answer: $ \frac{3}{2} $
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- GCD of 6 and 9 is 3
- $ \frac{6 ÷ 3}{9 ÷ 3} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
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- GCD of 10 and 25 is 5
- $ \frac{10 ÷ 5}{25 ÷ 5} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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- GCD of 5 and 50 is 5
- $ \frac{5 ÷ 5}{50 ÷ 5} = \frac{1}{10} $
✔ Answer: $ \frac{1}{10} $
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- GCD of 190 and 50 is 10
- $ \frac{190 ÷ 10}{50 ÷ 10} = \frac{19}{5} $
✔ Answer: $ \frac{19}{5} $
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- GCD of 10 and 40 is 10
- $ \frac{10 ÷ 10}{40 ÷ 10} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
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- GCD of 36 and 16 is 4
- $ \frac{36 ÷ 4}{16 ÷ 4} = \frac{9}{4} $
✔ Answer: $ \frac{9}{4} $
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- GCD of 4 and 6 is 2
- $ \frac{4 ÷ 2}{6 ÷ 2} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
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- GCD of 42 and 15 is 3
- $ \frac{42 ÷ 3}{15 ÷ 3} = \frac{14}{5} $
✔ Answer: $ \frac{14}{5} $
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- GCD of 8 and 20 is 4
- $ \frac{8 ÷ 4}{20 ÷ 4} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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- GCD of 4 and 10 is 2
- $ \frac{4 ÷ 2}{10 ÷ 2} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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- GCD of 6 and 15 is 3
- $ \frac{6 ÷ 3}{15 ÷ 3} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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- GCD of 4 and 20 is 4
- $ \frac{4 ÷ 4}{20 ÷ 4} = \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
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- GCD of 20 and 50 is 10
- $ \frac{20 ÷ 10}{50 ÷ 10} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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- GCD of 9 and 12 is 3
- $ \frac{9 ÷ 3}{12 ÷ 3} = \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $
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- GCD of 75 and 20 is 5
- $ \frac{75 ÷ 5}{20 ÷ 5} = \frac{15}{4} $
✔ Answer: $ \frac{15}{4} $
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- GCD of 8 and 10 is 2
- $ \frac{8 ÷ 2}{10 ÷ 2} = \frac{4}{5} $
✔ Answer: $ \frac{4}{5} $
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- GCD of 80 and 30 is 10
- $ \frac{80 ÷ 10}{30 ÷ 10} = \frac{8}{3} $
✔ Answer: $ \frac{8}{3} $
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- GCD of 16 and 10 is 2
- $ \frac{16 ÷ 2}{10 ÷ 2} = \frac{8}{5} $
✔ Answer: $ \frac{8}{5} $
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- GCD of 3 and 15 is 3
- $ \frac{3 ÷ 3}{15 ÷ 3} = \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
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| Fraction | Simplified |
|--------|------------|
| $ \frac{9}{6} $ | $ \frac{3}{2} $ |
| $ \frac{6}{9} $ | $ \frac{2}{3} $ |
| $ \frac{10}{25} $ | $ \frac{2}{5} $ |
| $ \frac{5}{50} $ | $ \frac{1}{10} $ |
| $ \frac{190}{50} $ | $ \frac{19}{5} $ |
| $ \frac{10}{40} $ | $ \frac{1}{4} $ |
| $ \frac{36}{16} $ | $ \frac{9}{4} $ |
| $ \frac{4}{6} $ | $ \frac{2}{3} $ |
| $ \frac{42}{15} $ | $ \frac{14}{5} $ |
| $ \frac{8}{20} $ | $ \frac{2}{5} $ |
| $ \frac{4}{10} $ | $ \frac{2}{5} $ |
| $ \frac{6}{15} $ | $ \frac{2}{5} $ |
| $ \frac{4}{20} $ | $ \frac{1}{5} $ |
| $ \frac{20}{50} $ | $ \frac{2}{5} $ |
| $ \frac{9}{12} $ | $ \frac{3}{4} $ |
| $ \frac{75}{20} $ | $ \frac{15}{4} $ |
| $ \frac{8}{10} $ | $ \frac{4}{5} $ |
| $ \frac{80}{30} $ | $ \frac{8}{3} $ |
| $ \frac{16}{10} $ | $ \frac{8}{5} $ |
| $ \frac{3}{15} $ | $ \frac{1}{5} $ |
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💡 Tip: Always look for the largest number that divides both numerator and denominator evenly — that’s the GCD. If you're unsure, list the factors or use prime factorization.
Let me know if you'd like this as a printable worksheet!
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1. $ \frac{9}{6} $
- GCD of 9 and 6 is 3
- $ \frac{9 ÷ 3}{6 ÷ 3} = \frac{3}{2} $
✔ Answer: $ \frac{3}{2} $
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2. $ \frac{6}{9} $
- GCD of 6 and 9 is 3
- $ \frac{6 ÷ 3}{9 ÷ 3} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
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3. $ \frac{10}{25} $
- GCD of 10 and 25 is 5
- $ \frac{10 ÷ 5}{25 ÷ 5} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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4. $ \frac{5}{50} $
- GCD of 5 and 50 is 5
- $ \frac{5 ÷ 5}{50 ÷ 5} = \frac{1}{10} $
✔ Answer: $ \frac{1}{10} $
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5. $ \frac{190}{50} $
- GCD of 190 and 50 is 10
- $ \frac{190 ÷ 10}{50 ÷ 10} = \frac{19}{5} $
✔ Answer: $ \frac{19}{5} $
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6. $ \frac{10}{40} $
- GCD of 10 and 40 is 10
- $ \frac{10 ÷ 10}{40 ÷ 10} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
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7. $ \frac{36}{16} $
- GCD of 36 and 16 is 4
- $ \frac{36 ÷ 4}{16 ÷ 4} = \frac{9}{4} $
✔ Answer: $ \frac{9}{4} $
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8. $ \frac{4}{6} $
- GCD of 4 and 6 is 2
- $ \frac{4 ÷ 2}{6 ÷ 2} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
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9. $ \frac{42}{15} $
- GCD of 42 and 15 is 3
- $ \frac{42 ÷ 3}{15 ÷ 3} = \frac{14}{5} $
✔ Answer: $ \frac{14}{5} $
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10. $ \frac{8}{20} $
- GCD of 8 and 20 is 4
- $ \frac{8 ÷ 4}{20 ÷ 4} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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11. $ \frac{4}{10} $
- GCD of 4 and 10 is 2
- $ \frac{4 ÷ 2}{10 ÷ 2} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
---
12. $ \frac{6}{15} $
- GCD of 6 and 15 is 3
- $ \frac{6 ÷ 3}{15 ÷ 3} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
---
13. $ \frac{4}{20} $
- GCD of 4 and 20 is 4
- $ \frac{4 ÷ 4}{20 ÷ 4} = \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
---
14. $ \frac{20}{50} $
- GCD of 20 and 50 is 10
- $ \frac{20 ÷ 10}{50 ÷ 10} = \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
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15. $ \frac{9}{12} $
- GCD of 9 and 12 is 3
- $ \frac{9 ÷ 3}{12 ÷ 3} = \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $
---
16. $ \frac{75}{20} $
- GCD of 75 and 20 is 5
- $ \frac{75 ÷ 5}{20 ÷ 5} = \frac{15}{4} $
✔ Answer: $ \frac{15}{4} $
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17. $ \frac{8}{10} $
- GCD of 8 and 10 is 2
- $ \frac{8 ÷ 2}{10 ÷ 2} = \frac{4}{5} $
✔ Answer: $ \frac{4}{5} $
---
18. $ \frac{80}{30} $
- GCD of 80 and 30 is 10
- $ \frac{80 ÷ 10}{30 ÷ 10} = \frac{8}{3} $
✔ Answer: $ \frac{8}{3} $
---
19. $ \frac{16}{10} $
- GCD of 16 and 10 is 2
- $ \frac{16 ÷ 2}{10 ÷ 2} = \frac{8}{5} $
✔ Answer: $ \frac{8}{5} $
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20. $ \frac{3}{15} $
- GCD of 3 and 15 is 3
- $ \frac{3 ÷ 3}{15 ÷ 3} = \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
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✔ Final Answers:
| Fraction | Simplified |
|--------|------------|
| $ \frac{9}{6} $ | $ \frac{3}{2} $ |
| $ \frac{6}{9} $ | $ \frac{2}{3} $ |
| $ \frac{10}{25} $ | $ \frac{2}{5} $ |
| $ \frac{5}{50} $ | $ \frac{1}{10} $ |
| $ \frac{190}{50} $ | $ \frac{19}{5} $ |
| $ \frac{10}{40} $ | $ \frac{1}{4} $ |
| $ \frac{36}{16} $ | $ \frac{9}{4} $ |
| $ \frac{4}{6} $ | $ \frac{2}{3} $ |
| $ \frac{42}{15} $ | $ \frac{14}{5} $ |
| $ \frac{8}{20} $ | $ \frac{2}{5} $ |
| $ \frac{4}{10} $ | $ \frac{2}{5} $ |
| $ \frac{6}{15} $ | $ \frac{2}{5} $ |
| $ \frac{4}{20} $ | $ \frac{1}{5} $ |
| $ \frac{20}{50} $ | $ \frac{2}{5} $ |
| $ \frac{9}{12} $ | $ \frac{3}{4} $ |
| $ \frac{75}{20} $ | $ \frac{15}{4} $ |
| $ \frac{8}{10} $ | $ \frac{4}{5} $ |
| $ \frac{80}{30} $ | $ \frac{8}{3} $ |
| $ \frac{16}{10} $ | $ \frac{8}{5} $ |
| $ \frac{3}{15} $ | $ \frac{1}{5} $ |
---
💡 Tip: Always look for the largest number that divides both numerator and denominator evenly — that’s the GCD. If you're unsure, list the factors or use prime factorization.
Let me know if you'd like this as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of simplifying fraction worksheet.
