Let's solve each problem by converting the given decimals to fractions. 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 if possible.
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Step-by-step solutions:
####
1. 0.7
- = 7/10 → already simplified
✔ 7/10
####
2. 0.78
- = 78/100 → simplify by dividing numerator and denominator by 2
→ 39/50
✔ 39/50
####
3. 0.57
- = 57/100 → cannot be simplified further
✔ 57/100
####
4. 0.9
- = 9/10 → already simplified
✔ 9/10
####
5. 0.76
- = 76/100 → divide by 4 → 19/25
✔ 19/25
####
6. 0.85
- = 85/100 → divide by 5 → 17/20
✔ 17/20
####
7. 0.48
- = 48/100 → divide by 4 → 12/25
✔ 12/25
####
8. 0.77
- = 77/100 → cannot be simplified
✔ 77/100
####
9. 0.53
- = 53/100 → prime, can't simplify
✔ 53/100
####
10. 0.37
- = 37/100 → prime, can't simplify
✔ 37/100
####
11. 0.5
- = 5/10 → simplify → 1/2
✔ 1/2
####
12. 0.42
- = 42/100 → divide by 2 → 21/50
✔ 21/50
####
13. 0.36
- = 36/100 → divide by 4 → 9/25
✔ 9/25
####
14. 0.38
- = 38/100 → divide by 2 → 19/50
✔ 19/50
####
15. 0.7
- Same as #1 → 7/10
✔ 7/10
####
16. 0.36
- Same as #13 → 9/25
✔ 9/25
####
17. 0.57
- Same as #3 → 57/100
✔ 57/100
####
18. 0.1
- = 1/10 → already simplified
✔ 1/10
####
19. 0.46
- = 46/100 → divide by 2 → 23/50
✔ 23/50
####
20. 0.16
- = 16/100 → divide by 4 → 4/25
✔ 4/25
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✔ Final Answers:
| # | Decimal | Fraction |
|---|--------|---------|
| 1 | 0.7 | 7/10 |
| 2 | 0.78 | 39/50 |
| 3 | 0.57 | 57/100 |
| 4 | 0.9 | 9/10 |
| 5 | 0.76 | 19/25 |
| 6 | 0.85 | 17/20 |
| 7 | 0.48 | 12/25 |
| 8 | 0.77 | 77/100 |
| 9 | 0.53 | 53/100 |
|10 | 0.37 | 37/100 |
|11 | 0.5 | 1/2 |
|12 | 0.42 | 21/50 |
|13 | 0.36 | 9/25 |
|14 | 0.38 | 19/50 |
|15 | 0.7 | 7/10 |
|16 | 0.36 | 9/25 |
|17 | 0.57 | 57/100 |
|18 | 0.1 | 1/10 |
|19 | 0.46 | 23/50 |
|20 | 0.16 | 4/25 |
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🔍 Tips:
- For decimals ending in one digit: denominator is 10.
- Two digits: denominator is 100.
- Always check for simplification using GCD (greatest common divisor).
Let me know if you'd like this in printable format or need help understanding any step!
Parent Tip: Review the logic above to help your child master the concept of turning fractions into decimals worksheet.