Improper Fractions into Percents - Free Printable

To solve the problem of converting improper fractions into percents, we need to follow these steps:

1. Simplify the fraction (if possible).
2. Convert the fraction to a decimal by dividing the numerator by the denominator.
3. Convert the decimal to a percent by multiplying by 100.
4. Round off the result to hundredths (two decimal places).

Let's solve each fraction step by step.

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1. \( \frac{60}{50} \)

- Simplify: \( \frac{60}{50} = \frac{6}{5} \)
- Convert to decimal: \( \frac{6}{5} = 1.2 \)
- Convert to percent: \( 1.2 \times 100 = 120\% \)
- Final answer: \( 120.00\% \)

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2. \( \frac{50}{40} \)

- Simplify: \( \frac{50}{40} = \frac{5}{4} \)
- Convert to decimal: \( \frac{5}{4} = 1.25 \)
- Convert to percent: \( 1.25 \times 100 = 125\% \)
- Final answer: \( 125.00\% \)

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3. \( \frac{45}{40} \)

- Simplify: \( \frac{45}{40} = \frac{9}{8} \)
- Convert to decimal: \( \frac{9}{8} = 1.125 \)
- Convert to percent: \( 1.125 \times 100 = 112.5\% \)
- Final answer: \( 112.50\% \)

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4. \( \frac{12}{10} \)

- Simplify: \( \frac{12}{10} = \frac{6}{5} \)
- Convert to decimal: \( \frac{6}{5} = 1.2 \)
- Convert to percent: \( 1.2 \times 100 = 120\% \)
- Final answer: \( 120.00\% \)

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5. \( \frac{25}{15} \)

- Simplify: \( \frac{25}{15} = \frac{5}{3} \)
- Convert to decimal: \( \frac{5}{3} \approx 1.6667 \)
- Convert to percent: \( 1.6667 \times 100 \approx 166.67\% \)
- Final answer: \( 166.67\% \)

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6. \( \frac{14}{12} \)

- Simplify: \( \frac{14}{12} = \frac{7}{6} \)
- Convert to decimal: \( \frac{7}{6} \approx 1.1667 \)
- Convert to percent: \( 1.1667 \times 100 \approx 116.67\% \)
- Final answer: \( 116.67\% \)

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7. \( \frac{15}{10} \)

- Simplify: \( \frac{15}{10} = \frac{3}{2} \)
- Convert to decimal: \( \frac{3}{2} = 1.5 \)
- Convert to percent: \( 1.5 \times 100 = 150\% \)
- Final answer: \( 150.00\% \)

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8. \( \frac{28}{21} \)

- Simplify: \( \frac{28}{21} = \frac{4}{3} \)
- Convert to decimal: \( \frac{4}{3} \approx 1.3333 \)
- Convert to percent: \( 1.3333 \times 100 \approx 133.33\% \)
- Final answer: \( 133.33\% \)

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9. \( \frac{17}{10} \)

- Simplify: Already in simplest form.
- Convert to decimal: \( \frac{17}{10} = 1.7 \)
- Convert to percent: \( 1.7 \times 100 = 170\% \)
- Final answer: \( 170.00\% \)

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10. \( \frac{6}{5} \)

- Simplify: Already in simplest form.
- Convert to decimal: \( \frac{6}{5} = 1.2 \)
- Convert to percent: \( 1.2 \times 100 = 120\% \)
- Final answer: \( 120.00\% \)

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11. \( \frac{20}{12} \)

- Simplify: \( \frac{20}{12} = \frac{5}{3} \)
- Convert to decimal: \( \frac{5}{3} \approx 1.6667 \)
- Convert to percent: \( 1.6667 \times 100 \approx 166.67\% \)
- Final answer: \( 166.67\% \)

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12. \( \frac{4}{3} \)

- Simplify: Already in simplest form.
- Convert to decimal: \( \frac{4}{3} \approx 1.3333 \)
- Convert to percent: \( 1.3333 \times 100 \approx 133.33\% \)
- Final answer: \( 133.33\% \)

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13. \( \frac{9}{8} \)

- Simplify: Already in simplest form.
- Convert to decimal: \( \frac{9}{8} = 1.125 \)
- Convert to percent: \( 1.125 \times 100 = 112.5\% \)
- Final answer: \( 112.50\% \)

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14. \( \frac{20}{16} \)

- Simplify: \( \frac{20}{16} = \frac{5}{4} \)
- Convert to decimal: \( \frac{5}{4} = 1.25 \)
- Convert to percent: \( 1.25 \times 100 = 125\% \)
- Final answer: \( 125.00\% \)

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15. \( \frac{70}{50} \)

- Simplify: \( \frac{70}{50} = \frac{7}{5} \)
- Convert to decimal: \( \frac{7}{5} = 1.4 \)
- Convert to percent: \( 1.4 \times 100 = 140\% \)
- Final answer: \( 140.00\% \)

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16. \( \frac{9}{2} \)

- Simplify: Already in simplest form.
- Convert to decimal: \( \frac{9}{2} = 4.5 \)
- Convert to percent: \( 4.5 \times 100 = 450\% \)
- Final answer: \( 450.00\% \)

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17. \( \frac{80}{25} \)

- Simplify: \( \frac{80}{25} = \frac{16}{5} \)
- Convert to decimal: \( \frac{16}{5} = 3.2 \)
- Convert to percent: \( 3.2 \times 100 = 320\% \)
- Final answer: \( 320.00\% \)

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18. \( \frac{70}{60} \)

- Simplify: \( \frac{70}{60} = \frac{7}{6} \)
- Convert to decimal: \( \frac{7}{6} \approx 1.1667 \)
- Convert to percent: \( 1.1667 \times 100 \approx 116.67\% \)
- Final answer: \( 116.67\% \)

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19. \( \frac{12}{11} \)

- Simplify: Already in simplest form.
- Convert to decimal: \( \frac{12}{11} \approx 1.0909 \)
- Convert to percent: \( 1.0909 \times 100 \approx 109.09\% \)
- Final answer: \( 109.09\% \)

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20. \( \frac{22}{16} \)

- Simplify: \( \frac{22}{16} = \frac{11}{8} \)
- Convert to decimal: \( \frac{11}{8} = 1.375 \)
- Convert to percent: \( 1.375 \times 100 = 137.5\% \)
- Final answer: \( 137.50\% \)

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Final Answers:

\[
\boxed{
\begin{array}{ccc}
120.00\% & 125.00\% & \\
112.50\% & 120.00\% & 166.67\% \\
116.67\% & 150.00\% & 133.33\% \\
170.00\% & 120.00\% & 166.67\% \\
133.33\% & 112.50\% & 125.00\% \\
140.00\% & 450.00\% & 320.00\% \\
116.67\% & 109.09\% & 137.50\% \\
\end{array}
}
\]