Math worksheet for converting fractions to decimals, percents, and ratios.

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 part : whole, so for a fraction like $ \frac{a}{b} $, the ratio is $ a:b $.

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Now, let’s go through each row:

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1. $ \frac{1}{2} $

- Decimal: $ 1 \div 2 = 0.5 $
- Percent: $ 0.5 \times 100 = 50\% $
- Ratio: $ 1:2 $

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

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2. $ \frac{9}{10} $

- Decimal: $ 9 \div 10 = 0.9 $
- Percent: $ 0.9 \times 100 = 90\% $
- Ratio: $ 9:10 $

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

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3. $ \frac{3}{10} $

- Decimal: $ 3 \div 10 = 0.3 $
- Percent: $ 0.3 \times 100 = 30\% $
- Ratio: $ 3:10 $

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

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4. $ \frac{4}{5} $

- Decimal: $ 4 \div 5 = 0.8 $
- Percent: $ 0.8 \times 100 = 80\% $
- Ratio: $ 4:5 $

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

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5. $ \frac{3}{4} $

- Decimal: $ 3 \div 4 = 0.75 $
- Percent: $ 0.75 \times 100 = 75\% $
- Ratio: $ 3:4 $

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

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6. $ \frac{13}{20} $

- Decimal: $ 13 \div 20 = 0.65 $
- Percent: $ 0.65 \times 100 = 65\% $
- Ratio: $ 13:20 $

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

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7. $ \frac{5}{8} $

- Decimal: $ 5 \div 8 = 0.625 $
- Percent: $ 0.625 \times 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 \div 5 = 0.4 $
- Percent: $ 0.4 \times 100 = 40\% $
- Ratio: $ 2:5 $

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

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9. $ \frac{3}{8} $

- Decimal: $ 3 \div 8 = 0.375 $
- Percent: $ 0.375 \times 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 \div 4 = 0.25 $
- Percent: $ 0.25 \times 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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This completes all conversions! Let me know if you'd like a printable version or explanation of any specific conversion.