Let's solve the
"Convert Decimal to Fraction Sheet 1" step by step.
🔧 Rules from the worksheet:
- Convert decimals to fractions.
- Keep the denominator as a
power of 10 (e.g., 10, 100, 1000).
- Do
not simplify the fraction.
- If the decimal is greater than 1, write it as a
mixed number.
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We’ll go through each problem one by one.
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✔ Step-by-step Conversion:
>
Key idea:
> The number of decimal places determines the power of 10 in the denominator:
> - 1 decimal place → denominator = 10
> - 2 decimal places → denominator = 100
> - 3 decimal places → denominator = 1000
> - etc.
---
#### 1) 0.7
→ 1 decimal place → denominator = 10
=
7/10
#### 2) 0.3
→ 1 decimal place → denominator = 10
=
3/10
#### 3) 0.65
→ 2 decimal places → denominator = 100
=
65/100
#### 4) 0.24
→ 2 decimal places → denominator = 100
=
24/100
#### 5) 0.71
→ 2 decimal places → denominator = 100
=
71/100
#### 6) 0.1
→ 1 decimal place → denominator = 10
=
1/10
#### 7) 0.03
→ 2 decimal places → denominator = 100
=
3/100
#### 8) 0.127
→ 3 decimal places → denominator = 1000
=
127/1000
#### 9) 0.91
→ 2 decimal places → denominator = 100
=
91/100
#### 10) 0.714
→ 3 decimal places → denominator = 1000
=
714/1000
#### 11) 0.66
→ 2 decimal places → denominator = 100
=
66/100
#### 12) 0.107
→ 3 decimal places → denominator = 1000
=
107/1000
#### 13) 1.7
→ Whole number + decimal: 1 + 0.7
0.7 = 7/10 → so mixed number:
1 7/10
#### 14) 3.8
→ 3 + 0.8 = 3 + 8/10 →
3 8/10
#### 15) 14.9
→ 14 + 0.9 = 14 + 9/10 →
14 9/10
#### 16) 5.75
→ 5 + 0.75 = 5 + 75/100 →
5 75/100
#### 17) 7.94
→ 7 + 0.94 = 7 + 94/100 →
7 94/100
#### 18) 41.5
→ 41 + 0.5 = 41 + 5/10 →
41 5/10
#### 19) 8.09
→ 8 + 0.09 = 8 + 9/100 →
8 9/100
#### 20) 0.072
→ 3 decimal places → denominator = 1000
=
72/1000
#### 21) 0.394
→ 3 decimal places → denominator = 1000
=
394/1000
#### 22) 9.27
→ 9 + 0.27 = 9 + 27/100 →
9 27/100
#### 23) 1.98
→ 1 + 0.98 = 1 + 98/100 →
1 98/100
#### 24) 0.802
→ 3 decimal places → denominator = 1000
=
802/1000
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1) 0.7 | 7/10 |
| 2) 0.3 | 3/10 |
| 3) 0.65 | 65/100 |
| 4) 0.24 | 24/100 |
| 5) 0.71 | 71/100 |
| 6) 0.1 | 1/10 |
| 7) 0.03 | 3/100 |
| 8) 0.127 | 127/1000 |
| 9) 0.91 | 91/100 |
| 10) 0.714 | 714/1000 |
| 11) 0.66 | 66/100 |
| 12) 0.107 | 107/1000 |
| 13) 1.7 | 1 7/10 |
| 14) 3.8 | 3 8/10 |
| 15) 14.9 | 14 9/10 |
| 16) 5.75 | 5 75/100 |
| 17) 7.94 | 7 94/100 |
| 18) 41.5 | 41 5/10 |
| 19) 8.09 | 8 9/100 |
| 20) 0.072 | 72/1000 |
| 21) 0.394 | 394/1000 |
| 22) 9.27 | 9 27/100 |
| 23) 1.98 | 1 98/100 |
| 24) 0.802 | 802/1000 |
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📝 Summary:
You simply count the decimal places and use that to determine the denominator (10, 100, 1000). For numbers greater than 1, split into whole and decimal parts and write as a mixed number.
✔ All answers are in the required form —
no simplification needed, denominators are powers of 10.
Let me know if you'd like this printed or formatted for a worksheet!
Parent Tip: Review the logic above to help your child master the concept of changing repeating decimals to fractions worksheet.