Sure! Let’s solve the worksheet
“Converting Decimals to Fractions (A)” step by step.
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🔢 General Rule:
To convert a decimal to a fraction:
1.
Write the decimal as a fraction over 1 (e.g., 0.75 = 0.75/1).
2.
Multiply numerator and denominator by 10, 100, 1000, etc., depending on how many decimal places there are, to make the numerator a whole number.
3.
Simplify the fraction to lowest terms by dividing numerator and denominator by their greatest common divisor (GCD).
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Let’s go row by row:
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✔ Row 1:
0.75 → ?
- 0.75 = 75/100
- Simplify: divide numerator and denominator by 25 →
3/4
0.5 → ?
- 0.5 = 5/10
- Simplify: divide by 5 →
1/2
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✔ Row 2:
0.1 → ?
- 0.1 = 1/10 → already simplified →
1/10
0.9 → ?
- 0.9 = 9/10 → already simplified →
9/10
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✔ Row 3:
0.35 → ?
- 0.35 = 35/100
- Simplify: divide by 5 →
7/20
0.125 → ?
- 0.125 = 125/1000
- Simplify: divide by 125 →
1/8
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✔ Row 4:
0.6 → ?
- 0.6 = 6/10
- Simplify: divide by 2 →
3/5
0.625 → ?
- 0.625 = 625/1000
- Simplify: divide by 125 →
5/8
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✔ Row 5:
0.3 → ?
- 0.3 = 3/10 → already simplified →
3/10
0.85 → ?
- 0.85 = 85/100
- Simplify: divide by 5 →
17/20
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✔ Row 6:
0.45 → ?
- 0.45 = 45/100
- Simplify: divide by 5 →
9/20
0.375 → ?
- 0.375 = 375/1000
- Simplify: divide by 125 →
3/8
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✔ Row 7:
0.4 → ?
- 0.4 = 4/10
- Simplify: divide by 2 →
2/5
0.7 → ?
- 0.7 = 7/10 → already simplified →
7/10
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✔ Row 8:
0.25 → ?
- 0.25 = 25/100
- Simplify: divide by 25 →
1/4
0.8 → ?
- 0.8 = 8/10
- Simplify: divide by 2 →
4/5
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✔ Row 9:
0.15 → ?
- 0.15 = 15/100
- Simplify: divide by 5 →
3/20
0.65 → ?
- 0.65 = 65/100
- Simplify: divide by 5 →
13/20
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✔ Row 10:
0.2 → ?
- 0.2 = 2/10
- Simplify: divide by 2 →
1/5
0.55 → ?
- 0.55 = 55/100
- Simplify: divide by 5 →
11/20
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## 📝 Final Answer Sheet:
```
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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✔ All fractions are in
lowest terms.
Let me know if you’d like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of changing decimals to fractions worksheet.