Decimals to Percents & Fractions conversion worksheet with example and blank rows for practice.

It looks like you've uploaded a worksheet titled "Decimals to Percents & Fractions Sheet 2". The task is to convert each given decimal into its equivalent percent and fraction.

Let me solve each row step by step and explain the process.

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🔁 Conversion Rules:

1. Decimal → Percent: Multiply by 100 and add the % sign.
- Example: $ 0.25 = 0.25 \times 100 = 25\% $

2. Decimal → Fraction: Write the decimal as a fraction over 1, then multiply numerator and denominator by 10^n (where n is the number of decimal places), and simplify.
- Example: $ 0.25 = \frac{25}{100} = \frac{1}{4} $

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Now let’s go through each decimal:

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1. 0.25

- Percent: $ 0.25 \times 100 = 25\% $
- Fraction: $ \frac{25}{100} = \frac{1}{4} $
✔ Answer: 25%, $ \frac{1}{4} $

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2. 5.9

- Percent: $ 5.9 \times 100 = 590\% $
- Fraction: $ \frac{59}{10} $ (since 5.9 = 59/10)
✔ Answer: 590%, $ \frac{59}{10} $

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3. 0.28

- Percent: $ 0.28 \times 100 = 28\% $
- Fraction: $ \frac{28}{100} = \frac{7}{25} $
✔ Answer: 28%, $ \frac{7}{25} $

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4. 0.84

- Percent: $ 0.84 \times 100 = 84\% $
- Fraction: $ \frac{84}{100} = \frac{21}{25} $
✔ Answer: 84%, $ \frac{21}{25} $

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5. 0.76

- Percent: $ 0.76 \times 100 = 76\% $
- Fraction: $ \frac{76}{100} = \frac{19}{25} $
✔ Answer: 76%, $ \frac{19}{25} $

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6. 0.3

- Percent: $ 0.3 \times 100 = 30\% $
- Fraction: $ \frac{3}{10} $
✔ Answer: 30%, $ \frac{3}{10} $

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7. 0.09

- Percent: $ 0.09 \times 100 = 9\% $
- Fraction: $ \frac{9}{100} $
✔ Answer: 9%, $ \frac{9}{100} $

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8. 5.175

- Percent: $ 5.175 \times 100 = 517.5\% $
- Fraction: $ \frac{5175}{1000} = \frac{207}{40} $ (simplified by dividing numerator and denominator by 25)
✔ Answer: 517.5%, $ \frac{207}{40} $

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9. 1.4

- Percent: $ 1.4 \times 100 = 140\% $
- Fraction: $ \frac{14}{10} = \frac{7}{5} $
✔ Answer: 140%, $ \frac{7}{5} $

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10. 0.27

- Percent: $ 0.27 \times 100 = 27\% $
- Fraction: $ \frac{27}{100} $
✔ Answer: 27%, $ \frac{27}{100} $

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11. 0.15

- Percent: $ 0.15 \times 100 = 15\% $
- Fraction: $ \frac{15}{100} = \frac{3}{20} $
✔ Answer: 15%, $ \frac{3}{20} $

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12. 0.008

- Percent: $ 0.008 \times 100 = 0.8\% $
- Fraction: $ \frac{8}{1000} = \frac{1}{125} $
✔ Answer: 0.8%, $ \frac{1}{125} $

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13. 0.825

- Percent: $ 0.825 \times 100 = 82.5\% $
- Fraction: $ \frac{825}{1000} = \frac{33}{40} $
✔ Answer: 82.5%, $ \frac{33}{40} $

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14. 1.75

- Percent: $ 1.75 \times 100 = 175\% $
- Fraction: $ \frac{175}{100} = \frac{7}{4} $
✔ Answer: 175%, $ \frac{7}{4} $

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15. 1.14

- Percent: $ 1.14 \times 100 = 114\% $
- Fraction: $ \frac{114}{100} = \frac{57}{50} $
✔ Answer: 114%, $ \frac{57}{50} $

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16. 0.72

- Percent: $ 0.72 \times 100 = 72\% $
- Fraction: $ \frac{72}{100} = \frac{18}{25} $
✔ Answer: 72%, $ \frac{18}{25} $

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17. 0.01

- Percent: $ 0.01 \times 100 = 1\% $
- Fraction: $ \frac{1}{100} $
✔ Answer: 1%, $ \frac{1}{100} $

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✔ Final Answer Table:

| DECIMAL | PERCENT | FRACTION |
|--------|--------|----------|
| 0.25 | 25% | $ \frac{1}{4} $ |
| 5.9 | 590% | $ \frac{59}{10} $ |
| 0.28 | 28% | $ \frac{7}{25} $ |
| 0.84 | 84% | $ \frac{21}{25} $ |
| 0.76 | 76% | $ \frac{19}{25} $ |
| 0.3 | 30% | $ \frac{3}{10} $ |
| 0.09 | 9% | $ \frac{9}{100} $ |
| 5.175 | 517.5% | $ \frac{207}{40} $ |
| 1.4 | 140% | $ \frac{7}{5} $ |
| 0.27 | 27% | $ \frac{27}{100} $ |
| 0.15 | 15% | $ \frac{3}{20} $ |
| 0.008 | 0.8% | $ \frac{1}{125} $ |
| 0.825 | 82.5% | $ \frac{33}{40} $ |
| 1.75 | 175% | $ \frac{7}{4} $ |
| 1.14 | 114% | $ \frac{57}{50} $ |
| 0.72 | 72% | $ \frac{18}{25} $ |
| 0.01 | 1% | $ \frac{1}{100} $ |

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