Sure! Let’s solve the “Converting Fractions (A)” worksheet step by step.
The goal is to convert each given
fraction into its equivalent:
-
Decimal
-
Percent
-
Ratio (using part-to-whole form, e.g., 1:2 for ½)
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Key Conversions:
-
Fraction → Decimal: Divide numerator by denominator.
-
Decimal → Percent: Multiply decimal by 100 and add “%”.
-
Fraction → Ratio: Write as “numerator : denominator” (part-to-whole).
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Let’s go row by row:
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1. Fraction: ½
- Decimal: 1 ÷ 2 =
0.5
- Percent: 0.5 × 100 =
50%
- Ratio:
1:2
---
2. Fraction: ⁹⁄₁₀
- Decimal: 9 ÷ 10 =
0.9
- Percent: 0.9 × 100 =
90%
- Ratio:
9:10
---
3. Fraction: ³⁄₁₀
- Decimal: 3 ÷ 10 =
0.3
- Percent: 0.3 × 100 =
30%
- Ratio:
3:10
---
4. Fraction: ⁴⁄₅
- Decimal: 4 ÷ 5 =
0.8
- Percent: 0.8 × 100 =
80%
- Ratio:
4:5
---
5. Fraction: ¾
- Decimal: 3 ÷ 4 =
0.75
- Percent: 0.75 × 100 =
75%
- Ratio:
3:4
---
6. Fraction: ¹³⁄₂₀
- Decimal: 13 ÷ 20 =
0.65
- Percent: 0.65 × 100 =
65%
- Ratio:
13:20
---
7. Fraction: ⁵⁄₈
- Decimal: 5 ÷ 8 =
0.625
- Percent: 0.625 × 100 =
62.5%
- Ratio:
5:8
---
8. Fraction: ²⁄₅
- Decimal: 2 ÷ 5 =
0.4
- Percent: 0.4 × 100 =
40%
- Ratio:
2:5
---
9. Fraction: ³⁄₈
- Decimal: 3 ÷ 8 =
0.375
- Percent: 0.375 × 100 =
37.5%
- Ratio:
3:8
---
10. Fraction: ¼
- Decimal: 1 ÷ 4 =
0.25
- Percent: 0.25 × 100 =
25%
- Ratio:
1:4
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✔ Final Answer Table:
| # | Fraction | Decimal | Percent | Ratio |
|---|----------|---------|---------|---------|
| 1 | ½ | 0.5 | 50% | 1:2 |
| 2 | ⁹⁄₁₀ | 0.9 | 90% | 9:10 |
| 3 | ³⁄₁₀ | 0.3 | 30% | 3:10 |
| 4 | ⁴⁄₅ | 0.8 | 80% | 4:5 |
| 5 | ¾ | 0.75 | 75% | 3:4 |
| 6 | ¹³⁄₂₀ | 0.65 | 65% | 13:20 |
| 7 | ⁵⁄₈ | 0.625 | 62.5% | 5:8 |
| 8 | ²⁄₅ | 0.4 | 40% | 2:5 |
| 9 | ³⁄₈ | 0.375 | 37.5% | 3:8 |
|10 | ¼ | 0.25 | 25% | 1:4 |
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✔ All values are filled in correctly using part-to-whole ratios as instructed.
Let me know if you’d like this as a printable version or need help with more worksheets!
Parent Tip: Review the logic above to help your child master the concept of fractions and percentages worksheet.
