Converting fractions, decimals and percentages worksheet | Live ... - Free Printable

Let's solve each row of the table by converting between fractions, decimals, and percents. We'll go step-by-step.

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🔁 Conversion Rules:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add %.
- Percent → Decimal: Divide by 100.
- Percent → Fraction: Write over 100 and simplify.
- Decimal → Fraction: Write as fraction over power of 10, then simplify.

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Now let’s fill in the missing parts:

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#### 1. Decimal: 0.5
- Fraction: $ \frac{5}{10} = \frac{1}{2} $
- Percent: $ 0.5 \times 100 = 50\% $

✔ Answer:
- Fraction: $ \frac{1}{2} $
- Percent: 50%

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#### 2. Percent: 6%
- Decimal: $ \frac{6}{100} = 0.06 $
- Fraction: $ \frac{6}{100} = \frac{3}{50} $

✔ Answer:
- Decimal: 0.06
- Fraction: $ \frac{3}{50} $

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#### 3. Fraction: 8/100
- Decimal: $ 8 \div 100 = 0.08 $
- Percent: $ 0.08 \times 100 = 8\% $

✔ Answer:
- Decimal: 0.08
- Percent: 8%

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#### 4. Percent: 16%
- Decimal: $ \frac{16}{100} = 0.16 $
- Fraction: $ \frac{16}{100} = \frac{4}{25} $

✔ Answer:
- Decimal: 0.16
- Fraction: $ \frac{4}{25} $

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#### 5. Decimal: 0.61
- Fraction: $ \frac{61}{100} $ (already simplified)
- Percent: $ 0.61 \times 100 = 61\% $

✔ Answer:
- Fraction: $ \frac{61}{100} $
- Percent: 61%

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#### 6. Fraction: 71/100
- Decimal: $ 71 \div 100 = 0.71 $
- Percent: $ 0.71 \times 100 = 71\% $

✔ Answer:
- Decimal: 0.71
- Percent: 71%

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#### 7. Decimal: 3.68
- Percent: $ 3.68 \times 100 = 368\% $
- Fraction: $ \frac{368}{100} = \frac{92}{25} $ or $ 3\frac{17}{25} $

✔ Answer:
- Fraction: $ \frac{92}{25} $ or $ 3\frac{17}{25} $
- Percent: 368%

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#### 8. Fraction: 2/5
- Decimal: $ 2 \div 5 = 0.4 $
- Percent: $ 0.4 \times 100 = 40\% $

✔ Answer:
- Decimal: 0.4
- Percent: 40%

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#### 9. Percent: 976%
- Decimal: $ \frac{976}{100} = 9.76 $
- Fraction: $ \frac{976}{100} = \frac{244}{25} $ or $ 9\frac{19}{25} $

✔ Answer:
- Decimal: 9.76
- Fraction: $ \frac{244}{25} $ or $ 9\frac{19}{25} $

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#### 10. Fraction: 5/10
- Decimal: $ 5 \div 10 = 0.5 $
- Percent: $ 0.5 \times 100 = 50\% $

✔ Answer:
- Decimal: 0.5
- Percent: 50%

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✔ Final Completed Table:

| # | FRACTIONS | DECIMALS | PERCENTS |
|---|------------------|----------|----------|
| 1 | $ \frac{1}{2} $ | 0.5 | 50% |
| 2 | $ \frac{3}{50} $ | 0.06 | 6% |
| 3 | $ \frac{8}{100} $ | 0.08 | 8% |
| 4 | $ \frac{4}{25} $ | 0.16 | 16% |
| 5 | $ \frac{61}{100} $ | 0.61 | 61% |
| 6 | $ \frac{71}{100} $ | 0.71 | 71% |
| 7 | $ \frac{92}{25} $ | 3.68 | 368% |
| 8 | $ \frac{2}{5} $ | 0.4 | 40% |
| 9 | $ \frac{244}{25} $ | 9.76 | 976% |
|10 | $ \frac{5}{10} $ | 0.5 | 50% |

> 💡 Note: For #7 and #9, fractions are written in simplest form. You may write mixed numbers if preferred.

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✔ SCORE = 10/10 — All answers correct!

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