Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

Let's solve the problem step by step. We need to fill in the missing fractions, decimals, or percents in the table using conversions between these three forms.

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🔁 Conversion Rules:

- Fraction → Decimal: Divide numerator by denominator.
- Decimal → Percent: Multiply by 100 and add %.
- Percent → Decimal: Divide by 100.
- Decimal → Fraction: Write as a fraction over 100 (or appropriate power of 10), then simplify.
- Percent → Fraction: Write over 100 and simplify.
- Fraction → Percent: Convert to decimal first, then multiply by 100.

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We'll go row by row for both tables.

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## ✔ Left Table

| Fraction | Decimal | Percent |
|---------|--------|--------|
| $ \frac{3}{7} $ | ? | ? |
| ? | 0.5 | ? |
| $ \frac{5}{8} $ | ? | ? |
| ? | ? | $ 33\frac{1}{2}\% $ |
| ? | 0.77 | ? |
| ? | ? | $ 88\frac{2}{3}\% $ |
| $ \frac{9}{5} $ | ? | ? |
| $ \frac{6}{15} $ | ? | ? |
| ? | 0.26 | ? |
| ? | ? | 32.5% |
| ? | 0.625 | ? |

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Row 1: $ \frac{3}{7} $

- Decimal: $ 3 \div 7 \approx 0.4286 $
- Percent: $ 0.4286 \times 100 \approx 42.86\% $

✔ So:
Decimal = 0.4286, Percent ≈ 42.86%

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Row 2: Decimal = 0.5

- Fraction: $ 0.5 = \frac{1}{2} $
- Percent: $ 0.5 \times 100 = 50\% $

✔ So:
Fraction = $ \frac{1}{2} $, Percent = 50%

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Row 3: $ \frac{5}{8} $

- Decimal: $ 5 \div 8 = 0.625 $
- Percent: $ 0.625 \times 100 = 62.5\% $

✔ So:
Decimal = 0.625, Percent = 62.5%

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Row 4: Percent = $ 33\frac{1}{2}\% = 33.5\% $

- Decimal: $ 33.5 \div 100 = 0.335 $
- Fraction: $ 0.335 = \frac{335}{1000} = \frac{67}{200} $ (simplify)

✔ So:
Decimal = 0.335, Fraction = $ \frac{67}{200} $

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Row 5: Decimal = 0.77

- Percent: $ 0.77 \times 100 = 77\% $
- Fraction: $ \frac{77}{100} $ (already simplified)

✔ So:
Percent = 77%, Fraction = $ \frac{77}{100} $

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Row 6: Percent = $ 88\frac{2}{3}\% = 88.\overline{6}\% $

- $ 88\frac{2}{3}\% = \frac{266}{3}\% $
- Decimal: $ \frac{266}{3} \div 100 = \frac{266}{300} = \frac{133}{150} \approx 0.8867 $
- Fraction: $ \frac{133}{150} $ (from decimal)

But better: $ 88\frac{2}{3}\% = \frac{266}{3} \div 100 = \frac{266}{300} = \frac{133}{150} $

So:
- Decimal = 0.8867 (approx)
- Fraction = $ \frac{133}{150} $

✔ So:
Decimal ≈ 0.8867, Fraction = $ \frac{133}{150} $

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Row 7: $ \frac{9}{5} $

- Decimal: $ 9 \div 5 = 1.8 $
- Percent: $ 1.8 \times 100 = 180\% $

✔ So:
Decimal = 1.8, Percent = 180%

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Row 8: $ \frac{6}{15} $

- Simplify: $ \frac{6}{15} = \frac{2}{5} $
- Decimal: $ 2 \div 5 = 0.4 $
- Percent: $ 0.4 \times 100 = 40\% $

✔ So:
Decimal = 0.4, Percent = 40%

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Row 9: Decimal = 0.26

- Percent: $ 0.26 \times 100 = 26\% $
- Fraction: $ \frac{26}{100} = \frac{13}{50} $

✔ So:
Percent = 26%, Fraction = $ \frac{13}{50} $

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Row 10: Percent = 32.5%

- Decimal: $ 32.5 \div 100 = 0.325 $
- Fraction: $ \frac{325}{1000} = \frac{13}{40} $

✔ So:
Decimal = 0.325, Fraction = $ \frac{13}{40} $

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Row 11: Decimal = 0.625

- Percent: $ 0.625 \times 100 = 62.5\% $
- Fraction: $ \frac{625}{1000} = \frac{5}{8} $

✔ So:
Percent = 62.5%, Fraction = $ \frac{5}{8} $

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## ✔ Right Table

| Fraction | Decimal | Percent |
|---------|--------|--------|
| $ \frac{9}{17} $ | ? | ? |
| ? | 0.067 | ? |
| ? | ? | 28.8% |
| $ \frac{3}{8} $ | ? | ? |
| ? | 0.925 | ? |
| ? | ? | $ 37\frac{2}{5}\% $ |
| $ \frac{11}{18} $ | ? | ? |
| ? | 0.75 | ? |
| $ \frac{7}{9} $ | ? | ? |
| ? | 0.815 | ? |
| ? | ? | 66.5% |

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Row 1: $ \frac{9}{17} $

- Decimal: $ 9 \div 17 \approx 0.5294 $
- Percent: $ 0.5294 \times 100 \approx 52.94\% $

✔ So:
Decimal ≈ 0.5294, Percent ≈ 52.94%

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Row 2: Decimal = 0.067

- Percent: $ 0.067 \times 100 = 6.7\% $
- Fraction: $ \frac{67}{1000} $ (since 0.067 = 67/1000)

✔ So:
Percent = 6.7%, Fraction = $ \frac{67}{1000} $

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Row 3: Percent = 28.8%

- Decimal: $ 28.8 \div 100 = 0.288 $
- Fraction: $ \frac{288}{1000} = \frac{36}{125} $

✔ So:
Decimal = 0.288, Fraction = $ \frac{36}{125} $

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Row 4: $ \frac{3}{8} $

- Decimal: $ 3 \div 8 = 0.375 $
- Percent: $ 0.375 \times 100 = 37.5\% $

✔ So:
Decimal = 0.375, Percent = 37.5%

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Row 5: Decimal = 0.925

- Percent: $ 0.925 \times 100 = 92.5\% $
- Fraction: $ \frac{925}{1000} = \frac{37}{40} $

✔ So:
Percent = 92.5%, Fraction = $ \frac{37}{40} $

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Row 6: Percent = $ 37\frac{2}{5}\% = 37.4\% $

- Decimal: $ 37.4 \div 100 = 0.374 $
- Fraction: $ \frac{374}{1000} = \frac{187}{500} $

✔ So:
Decimal = 0.374, Fraction = $ \frac{187}{500} $

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Row 7: $ \frac{11}{18} $

- Decimal: $ 11 \div 18 \approx 0.6111 $
- Percent: $ 0.6111 \times 100 \approx 61.11\% $

✔ So:
Decimal ≈ 0.6111, Percent ≈ 61.11%

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Row 8: Decimal = 0.75

- Percent: $ 0.75 \times 100 = 75\% $
- Fraction: $ \frac{75}{100} = \frac{3}{4} $

✔ So:
Percent = 75%, Fraction = $ \frac{3}{4} $

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Row 9: $ \frac{7}{9} $

- Decimal: $ 7 \div 9 \approx 0.777... = 0.\overline{7} $
- Percent: $ 0.777... \times 100 = 77.\overline{7}\% \approx 77.78\% $

✔ So:
Decimal ≈ 0.7778, Percent ≈ 77.78%

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Row 10: Decimal = 0.815

- Percent: $ 0.815 \times 100 = 81.5\% $
- Fraction: $ \frac{815}{1000} = \frac{163}{200} $

✔ So:
Percent = 81.5%, Fraction = $ \frac{163}{200} $

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Row 11: Percent = 66.5%

- Decimal: $ 66.5 \div 100 = 0.665 $
- Fraction: $ \frac{665}{1000} = \frac{133}{200} $

✔ So:
Decimal = 0.665, Fraction = $ \frac{133}{200} $

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## ✔ Final Answer Table

Left Table:

| Fraction | Decimal | Percent |
|---------------|-------------|----------------|
| $ \frac{3}{7} $ | 0.4286 | 42.86% |
| $ \frac{1}{2} $ | 0.5 | 50% |
| $ \frac{5}{8} $ | 0.625 | 62.5% |
| $ \frac{67}{200} $ | 0.335 | $ 33\frac{1}{2}\% $ |
| $ \frac{77}{100} $ | 0.77 | 77% |
| $ \frac{133}{150} $ | 0.8867 | $ 88\frac{2}{3}\% $ |
| $ \frac{9}{5} $ | 1.8 | 180% |
| $ \frac{2}{5} $ | 0.4 | 40% |
| $ \frac{13}{50} $ | 0.26 | 26% |
| $ \frac{13}{40} $ | 0.325 | 32.5% |
| $ \frac{5}{8} $ | 0.625 | 62.5% |

> Note: Row 11 is same as row 3 — $ \frac{5}{8} $, so it’s consistent.

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Right Table:

| Fraction | Decimal | Percent |
|---------------|-------------|----------------|
| $ \frac{9}{17} $ | 0.5294 | 52.94% |
| $ \frac{67}{1000} $ | 0.067 | 6.7% |
| $ \frac{36}{125} $ | 0.288 | 28.8% |
| $ \frac{3}{8} $ | 0.375 | 37.5% |
| $ \frac{37}{40} $ | 0.925 | 92.5% |
| $ \frac{187}{500} $ | 0.374 | $ 37\frac{2}{5}\% $ |
| $ \frac{11}{18} $ | 0.6111 | 61.11% |
| $ \frac{3}{4} $ | 0.75 | 75% |
| $ \frac{7}{9} $ | 0.7778 | 77.78% |
| $ \frac{163}{200} $ | 0.815 | 81.5% |
| $ \frac{133}{200} $ | 0.665 | 66.5% |

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✔ All values filled in with conversions.

Let me know if you'd like this formatted as a printable table!