Math worksheet for converting fractions to percentages using the denominator method.

Let's solve each problem step by step using the denominator method to convert fractions to percentages. The goal is to convert each fraction into an equivalent fraction with a denominator of 100, then write that as a percentage.

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🔁 Method:

To convert a fraction to a percent using the denominator method:
1. Multiply both numerator and denominator by a number so that the denominator becomes 100.
2. Then, the numerator becomes the percentage.

We'll go through each one:

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1) $ \frac{1}{2} = \frac{?}{100} = ?\% $

Multiply numerator and denominator by 50:
$$
\frac{1 \times 50}{2 \times 50} = \frac{50}{100} = 50\%
$$

✔ Answer: 50%

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2) $ \frac{3}{10} = \frac{?}{100} = ?\% $

Multiply by 10:
$$
\frac{3 \times 10}{10 \times 10} = \frac{30}{100} = 30\%
$$

✔ Answer: 30%

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3) $ \frac{7}{10} = \frac{?}{100} = ?\% $

Multiply by 10:
$$
\frac{7 \times 10}{10 \times 10} = \frac{70}{100} = 70\%
$$

✔ Answer: 70%

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4) $ \frac{1}{4} = \frac{?}{100} = ?\% $

Multiply by 25:
$$
\frac{1 \times 25}{4 \times 25} = \frac{25}{100} = 25\%
$$

✔ Answer: 25%

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5) $ \frac{1}{5} = \frac{?}{100} = ?\% $

Multiply by 20:
$$
\frac{1 \times 20}{5 \times 20} = \frac{20}{100} = 20\%
$$

✔ Answer: 20%

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6) $ \frac{3}{4} = \frac{?}{100} = ?\% $

Multiply by 25:
$$
\frac{3 \times 25}{4 \times 25} = \frac{75}{100} = 75\%
$$

✔ Answer: 75%

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7) $ \frac{2}{5} = \frac{?}{100} = ?\% $

Multiply by 20:
$$
\frac{2 \times 20}{5 \times 20} = \frac{40}{100} = 40\%
$$

✔ Answer: 40%

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8) $ \frac{9}{10} = \frac{?}{100} = ?\% $

Multiply by 10:
$$
\frac{9 \times 10}{10 \times 10} = \frac{90}{100} = 90\%
$$

✔ Answer: 90%

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9) $ \frac{1}{20} = \frac{?}{100} = ?\% $

Multiply by 5:
$$
\frac{1 \times 5}{20 \times 5} = \frac{5}{100} = 5\%
$$

✔ Answer: 5%

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10) $ \frac{4}{5} = \frac{?}{100} = ?\% $

Multiply by 20:
$$
\frac{4 \times 20}{5 \times 20} = \frac{80}{100} = 80\%
$$

✔ Answer: 80%

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11) $ \frac{7}{20} = \frac{?}{100} = ?\% $

Multiply by 5:
$$
\frac{7 \times 5}{20 \times 5} = \frac{35}{100} = 35\%
$$

✔ Answer: 35%

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12) $ \frac{7}{50} = \frac{?}{100} = ?\% $

Multiply by 2:
$$
\frac{7 \times 2}{50 \times 2} = \frac{14}{100} = 14\%
$$

✔ Answer: 14%

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13) $ \frac{4}{25} = \frac{?}{100} = ?\% $

Multiply by 4:
$$
\frac{4 \times 4}{25 \times 4} = \frac{16}{100} = 16\%
$$

✔ Answer: 16%

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14) $ \frac{9}{20} = \frac{?}{100} = ?\% $

Multiply by 5:
$$
\frac{9 \times 5}{20 \times 5} = \frac{45}{100} = 45\%
$$

✔ Answer: 45%

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15) $ \frac{11}{50} = \frac{?}{100} = ?\% $

Multiply by 2:
$$
\frac{11 \times 2}{50 \times 2} = \frac{22}{100} = 22\%
$$

✔ Answer: 22%

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16) $ \frac{6}{5} = \frac{?}{100} = ?\% $

This is greater than 1. Multiply by 20:
$$
\frac{6 \times 20}{5 \times 20} = \frac{120}{100} = 120\%
$$

✔ Answer: 120%

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17) $ \frac{5}{2} = \frac{?}{100} = ?\% $

Multiply by 50:
$$
\frac{5 \times 50}{2 \times 50} = \frac{250}{100} = 250\%
$$

✔ Answer: 250%

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18) $ \frac{7}{4} = \frac{?}{100} = ?\% $

Multiply by 25:
$$
\frac{7 \times 25}{4 \times 25} = \frac{175}{100} = 175\%
$$

✔ Answer: 175%

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✔ Final Answers:

| Problem | Fraction | Equivalent over 100 | Percent |
|--------|----------|----------------------|---------|
| 1) | $ \frac{1}{2} $ | $ \frac{50}{100} $ | 50% |
| 2) | $ \frac{3}{10} $ | $ \frac{30}{100} $ | 30% |
| 3) | $ \frac{7}{10} $ | $ \frac{70}{100} $ | 70% |
| 4) | $ \frac{1}{4} $ | $ \frac{25}{100} $ | 25% |
| 5) | $ \frac{1}{5} $ | $ \frac{20}{100} $ | 20% |
| 6) | $ \frac{3}{4} $ | $ \frac{75}{100} $ | 75% |
| 7) | $ \frac{2}{5} $ | $ \frac{40}{100} $ | 40% |
| 8) | $ \frac{9}{10} $ | $ \frac{90}{100} $ | 90% |
| 9) | $ \frac{1}{20} $ | $ \frac{5}{100} $ | 5% |
| 10) | $ \frac{4}{5} $ | $ \frac{80}{100} $ | 80% |
| 11) | $ \frac{7}{20} $ | $ \frac{35}{100} $ | 35% |
| 12) | $ \frac{7}{50} $ | $ \frac{14}{100} $ | 14% |
| 13) | $ \frac{4}{25} $ | $ \frac{16}{100} $ | 16% |
| 14) | $ \frac{9}{20} $ | $ \frac{45}{100} $ | 45% |
| 15) | $ \frac{11}{50} $ | $ \frac{22}{100} $ | 22% |
| 16) | $ \frac{6}{5} $ | $ \frac{120}{100} $ | 120% |
| 17) | $ \frac{5}{2} $ | $ \frac{250}{100} $ | 250% |
| 18) | $ \frac{7}{4} $ | $ \frac{175}{100} $ | 175% |

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📝 Summary:

The denominator method involves finding a multiplier that turns the original denominator into 100, then multiplying both numerator and denominator by that number. This gives the percentage directly from the new numerator.

Let me know if you'd like this in printable format or with visual explanations!