Let's solve each decimal-to-fraction conversion step by step. The general method is:
1. Write the decimal as a fraction with the denominator as a power of 10 (based on the number of decimal places).
2. Simplify the fraction to its lowest terms.
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Converting Decimals to Fractions
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1. 0.75
- 0.75 = 75/100
- Simplify: Divide numerator and denominator by 25 → 3/4
✔ Answer: 3/4
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2. 0.5
- 0.5 = 5/10
- Simplify: Divide by 5 → 1/2
✔ Answer: 1/2
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3. 0.1
- 0.1 = 1/10
✔ Answer: 1/10
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4. 0.9
- 0.9 = 9/10
✔ Answer: 9/10
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5. 0.35
- 0.35 = 35/100
- Simplify: Divide by 5 → 7/20
✔ Answer: 7/20
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6. 0.125
- 0.125 = 125/1000
- Simplify: Divide by 125 → 1/8
✔ Answer: 1/8
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7. 0.6
- 0.6 = 6/10
- Simplify: Divide by 2 → 3/5
✔ Answer: 3/5
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8. 0.625
- 0.625 = 625/1000
- Simplify: Divide by 125 → 5/8
✔ Answer: 5/8
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9. 0.3
- 0.3 = 3/10
✔ Answer: 3/10
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10. 0.85
- 0.85 = 85/100
- Simplify: Divide by 5 → 17/20
✔ Answer: 17/20
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11. 0.45
- 0.45 = 45/100
- Simplify: Divide by 5 → 9/20
✔ Answer: 9/20
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12. 0.375
- 0.375 = 375/1000
- Simplify: Divide by 125 → 3/8
✔ Answer: 3/8
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13. 0.4
- 0.4 = 4/10
- Simplify: Divide by 2 → 2/5
✔ Answer: 2/5
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14. 0.7
- 0.7 = 7/10
✔ Answer: 7/10
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15. 0.25
- 0.25 = 25/100
- Simplify: Divide by 25 → 1/4
✔ Answer: 1/4
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16. 0.8
- 0.8 = 8/10
- Simplify: Divide by 2 → 4/5
✔ Answer: 4/5
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17. 0.15
- 0.15 = 15/100
- Simplify: Divide by 5 → 3/20
✔ Answer: 3/20
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18. 0.65
- 0.65 = 65/100
- Simplify: Divide by 5 → 13/20
✔ Answer: 13/20
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19. 0.2
- 0.2 = 2/10
- Simplify: Divide by 2 → 1/5
✔ Answer: 1/5
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20. 0.55
- 0.55 = 55/100
- Simplify: Divide by 5 → 11/20
✔ Answer: 11/20
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✔ Final Answers:
| Decimal | Fraction |
|--------|----------|
| 0.75 | 3/4 |
| 0.5 | 1/2 |
| 0.1 | 1/10 |
| 0.9 | 9/10 |
| 0.35 | 7/20 |
| 0.125 | 1/8 |
| 0.6 | 3/5 |
| 0.625 | 5/8 |
| 0.3 | 3/10 |
| 0.85 | 17/20 |
| 0.45 | 9/20 |
| 0.375 | 3/8 |
| 0.4 | 2/5 |
| 0.7 | 7/10 |
| 0.25 | 1/4 |
| 0.8 | 4/5 |
| 0.15 | 3/20 |
| 0.65 | 13/20 |
| 0.2 | 1/5 |
| 0.55 | 11/20 |
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Parent Tip: Review the logic above to help your child master the concept of converting decimals to fractions worksheet.