Convert percentages to fractions worksheet with examples and practice problems.

Let's solve the problem step by step.

We are asked to convert percentages to fractions by:

1. Writing the percentage over 100 (i.e., $\frac{\text{percentage}}{100}$).
2. Simplifying the fraction to its simplest form.
3. Leaving it as an improper fraction if it's greater than 1.

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🔢 Step-by-step Examples:

#### Example: 12%
$$
12\% = \frac{12}{100} = \frac{3}{25} \quad \text{(divided numerator and denominator by 4)}
$$

#### Example: 40%
$$
40\% = \frac{40}{100} = \frac{2}{5} \quad \text{(divided by 20)}
$$

Now let’s go through all the problems.

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✔ Answers:

1) $12\% = \frac{12}{100} = \frac{3}{25}$
2) $40\% = \frac{40}{100} = \frac{2}{5}$
3) $14\% = \frac{14}{100} = \frac{7}{50}$
4) $25\% = \frac{25}{100} = \frac{1}{4}$
5) $30\% = \frac{30}{100} = \frac{3}{10}$
6) $37\% = \frac{37}{100}$ → already simplified
7) $66\% = \frac{66}{100} = \frac{33}{50}$
8) $82\% = \frac{82}{100} = \frac{41}{50}$
9) $50\% = \frac{50}{100} = \frac{1}{2}$
10) $26\% = \frac{26}{100} = \frac{13}{50}$
11) $75\% = \frac{75}{100} = \frac{3}{4}$
12) $24\% = \frac{24}{100} = \frac{6}{25}$
13) $70\% = \frac{70}{100} = \frac{7}{10}$
14) $89\% = \frac{89}{100}$ → already simplified
15) $74\% = \frac{74}{100} = \frac{37}{50}$
16) $120\% = \frac{120}{100} = \frac{6}{5}$
17) $55\% = \frac{55}{100} = \frac{11}{20}$
18) $142\% = \frac{142}{100} = \frac{71}{50}$
19) $150\% = \frac{150}{100} = \frac{3}{2}$
20) $54\% = \frac{54}{100} = \frac{27}{50}$
21) $34\% = \frac{34}{100} = \frac{17}{50}$
22) $27\% = \frac{27}{100}$ → already simplified
23) $135\% = \frac{135}{100} = \frac{27}{20}$
24) $72\% = \frac{72}{100} = \frac{18}{25}$
25) $81\% = \frac{81}{100}$ → already simplified
26) $178\% = \frac{178}{100} = \frac{89}{50}$
27) $310\% = \frac{310}{100} = \frac{31}{10}$
28) $275\% = \frac{275}{100} = \frac{11}{4}$
29) $180\% = \frac{180}{100} = \frac{9}{5}$
30) $56\% = \frac{56}{100} = \frac{14}{25}$
31) $17\% = \frac{17}{100}$ → already simplified
32) $420\% = \frac{420}{100} = \frac{21}{5}$
33) $36\% = \frac{36}{100} = \frac{9}{25}$
34) $164\% = \frac{164}{100} = \frac{41}{25}$
35) $118\% = \frac{118}{100} = \frac{59}{50}$

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✔ Final Answer List:

| Problem | Fraction |
|--------|----------|
| 1) | $\frac{3}{25}$ |
| 2) | $\frac{2}{5}$ |
| 3) | $\frac{7}{50}$ |
| 4) | $\frac{1}{4}$ |
| 5) | $\frac{3}{10}$ |
| 6) | $\frac{37}{100}$ |
| 7) | $\frac{33}{50}$ |
| 8) | $\frac{41}{50}$ |
| 9) | $\frac{1}{2}$ |
| 10) | $\frac{13}{50}$ |
| 11) | $\frac{3}{4}$ |
| 12) | $\frac{6}{25}$ |
| 13) | $\frac{7}{10}$ |
| 14) | $\frac{89}{100}$ |
| 15) | $\frac{37}{50}$ |
| 16) | $\frac{6}{5}$ |
| 17) | $\frac{11}{20}$ |
| 18) | $\frac{71}{50}$ |
| 19) | $\frac{3}{2}$ |
| 20) | $\frac{27}{50}$ |
| 21) | $\frac{17}{50}$ |
| 22) | $\frac{27}{100}$ |
| 23) | $\frac{27}{20}$ |
| 24) | $\frac{18}{25}$ |
| 25) | $\frac{81}{100}$ |
| 26) | $\frac{89}{50}$ |
| 27) | $\frac{31}{10}$ |
| 28) | $\frac{11}{4}$ |
| 29) | $\frac{9}{5}$ |
| 30) | $\frac{14}{25}$ |
| 31) | $\frac{17}{100}$ |
| 32) | $\frac{21}{5}$ |
| 33) | $\frac{9}{25}$ |
| 34) | $\frac{41}{25}$ |
| 35) | $\frac{59}{50}$ |

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📌 Summary:

- To convert a percent to a fraction: write it over 100.
- Then simplify by dividing numerator and denominator by their greatest common divisor (GCD).
- For percentages > 100%, the result is an improper fraction — leave it as such.

✔ All answers are in simplest form, and improper fractions are kept as they are.

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