Converting from Fractions to Decimals, Percents and Part-to-Whole ... - Free Printable

Let's solve each problem step by step. We are given a fraction, and we need to convert it into its decimal, percent, and ratio (part-to-whole) form.

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Conversion Rules:

1. Fraction → Decimal: Divide the numerator by the denominator.
2. Decimal → Percent: Multiply the decimal by 100 and add the % sign.
3. Ratio: The ratio is written as numerator : denominator (part : whole).

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Now, let's go through each row:

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#### 1. $ \frac{1}{2} $
- Decimal: $ 1 ÷ 2 = 0.5 $
- Percent: $ 0.5 × 100 = 50\% $
- Ratio: $ 1:2 $

✔ Answer:
Decimal: 0.5, Percent: 50%, Ratio: 1:2

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#### 2. $ \frac{9}{10} $
- Decimal: $ 9 ÷ 10 = 0.9 $
- Percent: $ 0.9 × 100 = 90\% $
- Ratio: $ 9:10 $

✔ Answer:
Decimal: 0.9, Percent: 90%, Ratio: 9:10

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#### 3. $ \frac{3}{10} $
- Decimal: $ 3 ÷ 10 = 0.3 $
- Percent: $ 0.3 × 100 = 30\% $
- Ratio: $ 3:10 $

✔ Answer:
Decimal: 0.3, Percent: 30%, Ratio: 3:10

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#### 4. $ \frac{4}{5} $
- Decimal: $ 4 ÷ 5 = 0.8 $
- Percent: $ 0.8 × 100 = 80\% $
- Ratio: $ 4:5 $

✔ Answer:
Decimal: 0.8, Percent: 80%, Ratio: 4:5

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#### 5. $ \frac{3}{4} $
- Decimal: $ 3 ÷ 4 = 0.75 $
- Percent: $ 0.75 × 100 = 75\% $
- Ratio: $ 3:4 $

✔ Answer:
Decimal: 0.75, Percent: 75%, Ratio: 3:4

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#### 6. $ \frac{13}{20} $
- Decimal: $ 13 ÷ 20 = 0.65 $
- Percent: $ 0.65 × 100 = 65\% $
- Ratio: $ 13:20 $

✔ Answer:
Decimal: 0.65, Percent: 65%, Ratio: 13:20

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#### 7. $ \frac{5}{8} $
- Decimal: $ 5 ÷ 8 = 0.625 $
- Percent: $ 0.625 × 100 = 62.5\% $
- Ratio: $ 5:8 $

✔ Answer:
Decimal: 0.625, Percent: 62.5%, Ratio: 5:8

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#### 8. $ \frac{2}{5} $
- Decimal: $ 2 ÷ 5 = 0.4 $
- Percent: $ 0.4 × 100 = 40\% $
- Ratio: $ 2:5 $

✔ Answer:
Decimal: 0.4, Percent: 40%, Ratio: 2:5

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#### 9. $ \frac{3}{8} $
- Decimal: $ 3 ÷ 8 = 0.375 $
- Percent: $ 0.375 × 100 = 37.5\% $
- Ratio: $ 3:8 $

✔ Answer:
Decimal: 0.375, Percent: 37.5%, Ratio: 3:8

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#### 10. $ \frac{1}{4} $
- Decimal: $ 1 ÷ 4 = 0.25 $
- Percent: $ 0.25 × 100 = 25\% $
- Ratio: $ 1:4 $

✔ Answer:
Decimal: 0.25, Percent: 25%, Ratio: 1:4

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✔ Final Answer Table:

| Fraction | Decimal | Percent | Ratio |
|---------|--------|--------|-------|
| 1. $ \frac{1}{2} $ | 0.5 | 50% | 1:2 |
| 2. $ \frac{9}{10} $ | 0.9 | 90% | 9:10 |
| 3. $ \frac{3}{10} $ | 0.3 | 30% | 3:10 |
| 4. $ \frac{4}{5} $ | 0.8 | 80% | 4:5 |
| 5. $ \frac{3}{4} $ | 0.75 | 75% | 3:4 |
| 6. $ \frac{13}{20} $ | 0.65 | 65% | 13:20 |
| 7. $ \frac{5}{8} $ | 0.625 | 62.5% | 5:8 |
| 8. $ \frac{2}{5} $ | 0.4 | 40% | 2:5 |
| 9. $ \frac{3}{8} $ | 0.375 | 37.5% | 3:8 |
| 10. $ \frac{1}{4} $ | 0.25 | 25% | 1:4 |

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Let me know if you'd like this formatted as a printable table or need help with any specific conversion!