Let's solve each problem on the
"Convert decimals to fractions" worksheet step by step. The goal is to convert each decimal into a fraction and simplify it if possible.
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🔢 How to Convert Decimals to Fractions:
1. Write the decimal as a fraction with the denominator being a power of 10 (based on the number of decimal places).
2. Simplify the fraction by dividing numerator and denominator by their greatest common divisor (GCD).
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✔ Now, let's go through each one:
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1. 0.48
- 0.48 = 48/100
- Simplify: GCD of 48 and 100 is 4 → 48 ÷ 4 = 12, 100 ÷ 4 = 25
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Answer: 12/25
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2. 0.2
- 0.2 = 2/10
- Simplify: GCD of 2 and 10 is 2 → 2 ÷ 2 = 1, 10 ÷ 2 = 5
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Answer: 1/5
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3. 0.44
- 0.44 = 44/100
- GCD of 44 and 100 is 4 → 44 ÷ 4 = 11, 100 ÷ 4 = 25
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Answer: 11/25
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4. 0.15
- 0.15 = 15/100
- GCD of 15 and 100 is 5 → 15 ÷ 5 = 3, 100 ÷ 5 = 20
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Answer: 3/20
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5. 0.26
- 0.26 = 26/100
- GCD of 26 and 100 is 2 → 26 ÷ 2 = 13, 100 ÷ 2 = 50
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Answer: 13/50
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6. 0.8
- 0.8 = 8/10
- GCD of 8 and 10 is 2 → 8 ÷ 2 = 4, 10 ÷ 2 = 5
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Answer: 4/5
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7. 0.02
- 0.02 = 2/100
- GCD of 2 and 100 is 2 → 2 ÷ 2 = 1, 100 ÷ 2 = 50
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Answer: 1/50
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8. 0.28
- 0.28 = 28/100
- GCD of 28 and 100 is 4 → 28 ÷ 4 = 7, 100 ÷ 4 = 25
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Answer: 7/25
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9. 0.8
- Same as #6 → 0.8 = 8/10 =
4/5
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10. 0.25
- 0.25 = 25/100
- GCD of 25 and 100 is 25 → 25 ÷ 25 = 1, 100 ÷ 25 = 4
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Answer: 1/4
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11. 0.5
- 0.5 = 5/10
- GCD of 5 and 10 is 5 → 5 ÷ 5 = 1, 10 ÷ 5 = 2
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Answer: 1/2
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12. 0.55
- 0.55 = 55/100
- GCD of 55 and 100 is 5 → 55 ÷ 5 = 11, 100 ÷ 5 = 20
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Answer: 11/20
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13. 0.6
- 0.6 = 6/10
- GCD of 6 and 10 is 2 → 6 ÷ 2 = 3, 10 ÷ 2 = 5
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Answer: 3/5
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14. 0.64
- 0.64 = 64/100
- GCD of 64 and 100 is 4 → 64 ÷ 4 = 16, 100 ÷ 4 = 25
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Answer: 16/25
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15. 0.75
- 0.75 = 75/100
- GCD of 75 and 100 is 25 → 75 ÷ 25 = 3, 100 ÷ 25 = 4
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Answer: 3/4
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16. 0.58
- 0.58 = 58/100
- GCD of 58 and 100 is 2 → 58 ÷ 2 = 29, 100 ÷ 2 = 50
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Answer: 29/50
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✔ Final Answers:
| Problem | Answer |
|--------|------------|
| 1 | 12/25 |
| 2 | 1/5 |
| 3 | 11/25 |
| 4 | 3/20 |
| 5 | 13/50 |
| 6 | 4/5 |
| 7 | 1/50 |
| 8 | 7/25 |
| 9 | 4/5 |
| 10 | 1/4 |
| 11 | 1/2 |
| 12 | 11/20 |
| 13 | 3/5 |
| 14 | 16/25 |
| 15 | 3/4 |
| 16 | 29/50 |
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✔ Tip: Always check if the fraction can be simplified by finding the GCD of numerator and denominator.
Let me know if you'd like this in printable format or with visual explanations!
Parent Tip: Review the logic above to help your child master the concept of working with fractions to decimals worksheet.