Free educational worksheet for converting fractions to percentages.

Problem: Convert each fraction into a percentage.

#### Instructions:
1. Divide the numerator by the denominator.
2. Multiply the result by 100 to convert it into a percentage.

#### Solution:

We will solve each fraction step by step using the given instructions.

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1. \( \frac{1}{3} \)

- Step 1: Divide the numerator by the denominator: \( \frac{1}{3} = 0.3333\ldots \)
- Step 2: Multiply by 100: \( 0.3333\ldots \times 100 = 33.33\% \)
- Answer: \( 33.33\% \)

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2. \( \frac{20}{34} \)

- Step 1: Divide the numerator by the denominator: \( \frac{20}{34} \approx 0.5882 \)
- Step 2: Multiply by 100: \( 0.5882 \times 100 = 58.82\% \)
- Answer: \( 58.82\% \)

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3. \( \frac{16}{40} \)

- Step 1: Divide the numerator by the denominator: \( \frac{16}{40} = 0.4 \)
- Step 2: Multiply by 100: \( 0.4 \times 100 = 40\% \)
- Answer: \( 40\% \)

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4. \( \frac{17}{41} \)

- Step 1: Divide the numerator by the denominator: \( \frac{17}{41} \approx 0.4146 \)
- Step 2: Multiply by 100: \( 0.4146 \times 100 = 41.46\% \)
- Answer: \( 41.46\% \)

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5. \( \frac{14}{28} \)

- Step 1: Divide the numerator by the denominator: \( \frac{14}{28} = 0.5 \)
- Step 2: Multiply by 100: \( 0.5 \times 100 = 50\% \)
- Answer: \( 50\% \)

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6. \( \frac{39}{43} \)

- Step 1: Divide the numerator by the denominator: \( \frac{39}{43} \approx 0.9070 \)
- Step 2: Multiply by 100: \( 0.9070 \times 100 = 90.70\% \)
- Answer: \( 90.70\% \)

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7. \( \frac{24}{26} \)

- Step 1: Divide the numerator by the denominator: \( \frac{24}{26} \approx 0.9231 \)
- Step 2: Multiply by 100: \( 0.9231 \times 100 = 92.31\% \)
- Answer: \( 92.31\% \)

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8. \( \frac{27}{33} \)

- Step 1: Divide the numerator by the denominator: \( \frac{27}{33} \approx 0.8182 \)
- Step 2: Multiply by 100: \( 0.8182 \times 100 = 81.82\% \)
- Answer: \( 81.82\% \)

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9. \( \frac{47}{51} \)

- Step 1: Divide the numerator by the denominator: \( \frac{47}{51} \approx 0.9216 \)
- Step 2: Multiply by 100: \( 0.9216 \times 100 = 92.16\% \)
- Answer: \( 92.16\% \)

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10. \( \frac{1}{32} \)

- Step 1: Divide the numerator by the denominator: \( \frac{1}{32} = 0.03125 \)
- Step 2: Multiply by 100: \( 0.03125 \times 100 = 3.125\% \)
- Answer: \( 3.125\% \)

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11. \( \frac{25}{51} \)

- Step 1: Divide the numerator by the denominator: \( \frac{25}{51} \approx 0.4902 \)
- Step 2: Multiply by 100: \( 0.4902 \times 100 = 49.02\% \)
- Answer: \( 49.02\% \)

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12. \( \frac{6}{25} \)

- Step 1: Divide the numerator by the denominator: \( \frac{6}{25} = 0.24 \)
- Step 2: Multiply by 100: \( 0.24 \times 100 = 24\% \)
- Answer: \( 24\% \)

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13. \( \frac{17}{57} \)

- Step 1: Divide the numerator by the denominator: \( \frac{17}{57} \approx 0.2982 \)
- Step 2: Multiply by 100: \( 0.2982 \times 100 = 29.82\% \)
- Answer: \( 29.82\% \)

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14. \( \frac{1}{5} \)

- Step 1: Divide the numerator by the denominator: \( \frac{1}{5} = 0.2 \)
- Step 2: Multiply by 100: \( 0.2 \times 100 = 20\% \)
- Answer: \( 20\% \)

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

- Step 1: Divide the numerator by the denominator: \( \frac{10}{12} \approx 0.8333 \)
- Step 2: Multiply by 100: \( 0.8333 \times 100 = 83.33\% \)
- Answer: \( 83.33\% \)

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16. \( \frac{4}{44} \)

- Step 1: Divide the numerator by the denominator: \( \frac{4}{44} \approx 0.0909 \)
- Step 2: Multiply by 100: \( 0.0909 \times 100 = 9.09\% \)
- Answer: \( 9.09\% \)

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17. \( \frac{7}{12} \)

- Step 1: Divide the numerator by the denominator: \( \frac{7}{12} \approx 0.5833 \)
- Step 2: Multiply by 100: \( 0.5833 \times 100 = 58.33\% \)
- Answer: \( 58.33\% \)

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18. \( \frac{27}{32} \)

- Step 1: Divide the numerator by the denominator: \( \frac{27}{32} \approx 0.8438 \)
- Step 2: Multiply by 100: \( 0.8438 \times 100 = 84.38\% \)
- Answer: \( 84.38\% \)

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19. \( \frac{29}{58} \)

- Step 1: Divide the numerator by the denominator: \( \frac{29}{58} = 0.5 \)
- Step 2: Multiply by 100: \( 0.5 \times 100 = 50\% \)
- Answer: \( 50\% \)

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20. \( \frac{39}{50} \)

- Step 1: Divide the numerator by the denominator: \( \frac{39}{50} = 0.78 \)
- Step 2: Multiply by 100: \( 0.78 \times 100 = 78\% \)
- Answer: \( 78\% \)

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21. \( \frac{3}{10} \)

- Step 1: Divide the numerator by the denominator: \( \frac{3}{10} = 0.3 \)
- Step 2: Multiply by 100: \( 0.3 \times 100 = 30\% \)
- Answer: \( 30\% \)

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22. \( \frac{4}{15} \)

- Step 1: Divide the numerator by the denominator: \( \frac{4}{15} \approx 0.2667 \)
- Step 2: Multiply by 100: \( 0.2667 \times 100 = 26.67\% \)
- Answer: \( 26.67\% \)

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23. \( \frac{39}{52} \)

- Step 1: Divide the numerator by the denominator: \( \frac{39}{52} = 0.75 \)
- Step 2: Multiply by 100: \( 0.75 \times 100 = 75\% \)
- Answer: \( 75\% \)

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24. \( \frac{30}{35} \)

- Step 1: Divide the numerator by the denominator: \( \frac{30}{35} \approx 0.8571 \)
- Step 2: Multiply by 100: \( 0.8571 \times 100 = 85.71\% \)
- Answer: \( 85.71\% \)

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25. \( \frac{4}{5} \)

- Step 1: Divide the numerator by the denominator: \( \frac{4}{5} = 0.8 \)
- Step 2: Multiply by 100: \( 0.8 \times 100 = 80\% \)
- Answer: \( 80\% \)

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26. \( \frac{31}{33} \)

- Step 1: Divide the numerator by the denominator: \( \frac{31}{33} \approx 0.9394 \)
- Step 2: Multiply by 100: \( 0.9394 \times 100 = 93.94\% \)
- Answer: \( 93.94\% \)

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27. \( \frac{30}{40} \)

- Step 1: Divide the numerator by the denominator: \( \frac{30}{40} = 0.75 \)
- Step 2: Multiply by 100: \( 0.75 \times 100 = 75\% \)
- Answer: \( 75\% \)

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28. \( \frac{14}{18} \)

- Step 1: Divide the numerator by the denominator: \( \frac{14}{18} \approx 0.7778 \)
- Step 2: Multiply by 100: \( 0.7778 \times 100 = 77.78\% \)
- Answer: \( 77.78\% \)

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29. \( \frac{36}{46} \)

- Step 1: Divide the numerator by the denominator: \( \frac{36}{46} \approx 0.7826 \)
- Step 2: Multiply by 100: \( 0.7826 \times 100 = 78.26\% \)
- Answer: \( 78.26\% \)

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30. \( \frac{35}{42} \)

- Step 1: Divide the numerator by the denominator: \( \frac{35}{42} \approx 0.8333 \)
- Step 2: Multiply by 100: \( 0.8333 \times 100 = 83.33\% \)
- Answer: \( 83.33\% \)

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Final Answers:

\[
\boxed{
\begin{array}{lll}
1) & 33.33\% & 2) & 58.82\% & 3) & 40\% \\
4) & 41.46\% & 5) & 50\% & 6) & 90.70\% \\
7) & 92.31\% & 8) & 81.82\% & 9) & 92.16\% \\
10) & 3.125\% & 11) & 49.02\% & 12) & 24\% \\
13) & 29.82\% & 14) & 20\% & 15) & 83.33\% \\
16) & 9.09\% & 17) & 58.33\% & 18) & 84.38\% \\
19) & 50\% & 20) & 78\% & 21) & 30\% \\
22) & 26.67\% & 23) & 75\% & 24) & 85.71\% \\
25) & 80\% & 26) & 93.94\% & 27) & 75\% \\
28) & 77.78\% & 29) & 78.26\% & 30) & 83.33\% \\
\end{array}
}
\]