Converting fractions, decimals and percentages | Renee - 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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Row 1:

- Decimal: 0.5
- Convert to fraction:
$ 0.5 = \frac{5}{10} = \frac{1}{2} $
- Convert to percent:
$ 0.5 \times 100 = 50\% $

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

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Row 2:

- Percent: 6%
- Convert to decimal:
$ 6\% = \frac{6}{100} = 0.06 $
- Convert to fraction:
$ \frac{6}{100} = \frac{3}{50} $

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

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Row 3:

- Fraction: $ \frac{8}{100} $
- Simplify: $ \frac{8}{100} = \frac{2}{25} $
- Convert to decimal:
$ \frac{8}{100} = 0.08 $
- Convert to percent:
$ 0.08 \times 100 = 8\% $

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

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Row 4:

- Percent: 16%
- Convert to decimal:
$ 16\% = \frac{16}{100} = 0.16 $
- Convert to fraction:
$ \frac{16}{100} = \frac{4}{25} $

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

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Row 5:

- Decimal: 0.61
- Convert to percent:
$ 0.61 \times 100 = 61\% $
- Convert to fraction:
$ 0.61 = \frac{61}{100} $ (already in simplest form)

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

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Row 6:

- Fraction: $ \frac{71}{100} $
- Convert to decimal:
$ \frac{71}{100} = 0.71 $
- Convert to percent:
$ 0.71 \times 100 = 71\% $

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

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Row 7:

- Decimal: 3.68
- Convert to percent:
$ 3.68 \times 100 = 368\% $
- Convert to fraction:
$ 3.68 = \frac{368}{100} = \frac{92}{25} $ (simplify: divide numerator and denominator by 4)

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

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Row 8:

- Fraction: $ \frac{2}{5} $
- Convert to decimal:
$ \frac{2}{5} = 0.4 $
- Convert to percent:
$ 0.4 \times 100 = 40\% $

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

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Row 9:

- Percent: 976%
- Convert to decimal:
$ 976\% = \frac{976}{100} = 9.76 $
- Convert to fraction:
$ 9.76 = \frac{976}{100} = \frac{244}{25} $ (divide numerator and denominator by 4)

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

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Row 10:

- Fraction: $ \frac{5}{10} $
- Simplify: $ \frac{5}{10} = \frac{1}{2} $
- Convert to decimal:
$ \frac{5}{10} = 0.5 $
- Convert to 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% |

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🔍 Summary of Conversions:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100.
- Percent → Decimal: Divide by 100.
- Fraction → Percent: Convert to decimal first, then multiply by 100.

All answers are correct and fully simplified.

✔ Score: 10/10 (Perfect!)