Convert percentages to fractions worksheet for math practice.

To convert percentages to fractions, follow these steps:

1. Write the percentage as a fraction with a denominator of 100: Replace the percentage symbol (%) with a fraction over 100.
2. Simplify the fraction: Reduce the fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Let's solve each problem step by step.

---

1. 40%

- Write as a fraction: \( 40\% = \frac{40}{100} \)
- Simplify: The GCD of 40 and 100 is 20.
\[
\frac{40}{100} = \frac{40 \div 20}{100 \div 20} = \frac{2}{5}
\]
- Final answer: \( \frac{2}{5} \)

---

2. 38%

- Write as a fraction: \( 38\% = \frac{38}{100} \)
- Simplify: The GCD of 38 and 100 is 2.
\[
\frac{38}{100} = \frac{38 \div 2}{100 \div 2} = \frac{19}{50}
\]
- Final answer: \( \frac{19}{50} \)

---

3. 55%

- Write as a fraction: \( 55\% = \frac{55}{100} \)
- Simplify: The GCD of 55 and 100 is 5.
\[
\frac{55}{100} = \frac{55 \div 5}{100 \div 5} = \frac{11}{20}
\]
- Final answer: \( \frac{11}{20} \)

---

4. 63%

- Write as a fraction: \( 63\% = \frac{63}{100} \)
- Simplify: The GCD of 63 and 100 is 1 (they are coprime).
\[
\frac{63}{100} \text{ is already in simplest form.}
\]
- Final answer: \( \frac{63}{100} \)

---

5. 27%

- Write as a fraction: \( 27\% = \frac{27}{100} \)
- Simplify: The GCD of 27 and 100 is 1 (they are coprime).
\[
\frac{27}{100} \text{ is already in simplest form.}
\]
- Final answer: \( \frac{27}{100} \)

---

6. 64%

- Write as a fraction: \( 64\% = \frac{64}{100} \)
- Simplify: The GCD of 64 and 100 is 4.
\[
\frac{64}{100} = \frac{64 \div 4}{100 \div 4} = \frac{16}{25}
\]
- Final answer: \( \frac{16}{25} \)

---

7. 54%

- Write as a fraction: \( 54\% = \frac{54}{100} \)
- Simplify: The GCD of 54 and 100 is 2.
\[
\frac{54}{100} = \frac{54 \div 2}{100 \div 2} = \frac{27}{50}
\]
- Final answer: \( \frac{27}{50} \)

---

8. 34%

- Write as a fraction: \( 34\% = \frac{34}{100} \)
- Simplify: The GCD of 34 and 100 is 2.
\[
\frac{34}{100} = \frac{34 \div 2}{100 \div 2} = \frac{17}{50}
\]
- Final answer: \( \frac{17}{50} \)

---

9. 75%

- Write as a fraction: \( 75\% = \frac{75}{100} \)
- Simplify: The GCD of 75 and 100 is 25.
\[
\frac{75}{100} = \frac{75 \div 25}{100 \div 25} = \frac{3}{4}
\]
- Final answer: \( \frac{3}{4} \)

---

10. 42%

- Write as a fraction: \( 42\% = \frac{42}{100} \)
- Simplify: The GCD of 42 and 100 is 2.
\[
\frac{42}{100} = \frac{42 \div 2}{100 \div 2} = \frac{21}{50}
\]
- Final answer: \( \frac{21}{50} \)

---

11. 83%

- Write as a fraction: \( 83\% = \frac{83}{100} \)
- Simplify: The GCD of 83 and 100 is 1 (they are coprime).
\[
\frac{83}{100} \text{ is already in simplest form.}
\]
- Final answer: \( \frac{83}{100} \)

---

12. 25%

- Write as a fraction: \( 25\% = \frac{25}{100} \)
- Simplify: The GCD of 25 and 100 is 25.
\[
\frac{25}{100} = \frac{25 \div 25}{100 \div 25} = \frac{1}{4}
\]
- Final answer: \( \frac{1}{4} \)

---

13. 6%

- Write as a fraction: \( 6\% = \frac{6}{100} \)
- Simplify: The GCD of 6 and 100 is 2.
\[
\frac{6}{100} = \frac{6 \div 2}{100 \div 2} = \frac{3}{50}
\]
- Final answer: \( \frac{3}{50} \)

---

14. 91%

- Write as a fraction: \( 91\% = \frac{91}{100} \)
- Simplify: The GCD of 91 and 100 is 1 (they are coprime).
\[
\frac{91}{100} \text{ is already in simplest form.}
\]
- Final answer: \( \frac{91}{100} \)

---

15. 24%

- Write as a fraction: \( 24\% = \frac{24}{100} \)
- Simplify: The GCD of 24 and 100 is 4.
\[
\frac{24}{100} = \frac{24 \div 4}{100 \div 4} = \frac{6}{25}
\]
- Final answer: \( \frac{6}{25} \)

---

16. 80%

- Write as a fraction: \( 80\% = \frac{80}{100} \)
- Simplify: The GCD of 80 and 100 is 20.
\[
\frac{80}{100} = \frac{80 \div 20}{100 \div 20} = \frac{4}{5}
\]
- Final answer: \( \frac{4}{5} \)

---

17. 7%

- Write as a fraction: \( 7\% = \frac{7}{100} \)
- Simplify: The GCD of 7 and 100 is 1 (they are coprime).
\[
\frac{7}{100} \text{ is already in simplest form.}
\]
- Final answer: \( \frac{7}{100} \)

---

18. 90%

- Write as a fraction: \( 90\% = \frac{90}{100} \)
- Simplify: The GCD of 90 and 100 is 10.
\[
\frac{90}{100} = \frac{90 \div 10}{100 \div 10} = \frac{9}{10}
\]
- Final answer: \( \frac{9}{10} \)

---

19. 22%

- Write as a fraction: \( 22\% = \frac{22}{100} \)
- Simplify: The GCD of 22 and 100 is 2.
\[
\frac{22}{100} = \frac{22 \div 2}{100 \div 2} = \frac{11}{50}
\]
- Final answer: \( \frac{11}{50} \)

---

20. 85%

- Write as a fraction: \( 85\% = \frac{85}{100} \)
- Simplify: The GCD of 85 and 100 is 5.
\[
\frac{85}{100} = \frac{85 \div 5}{100 \div 5} = \frac{17}{20}
\]
- Final answer: \( \frac{17}{20} \)

---

Final Answers:

\[
\boxed{
\begin{array}{ll}
40\% = \frac{2}{5} & 38\% = \frac{19}{50} \\
55\% = \frac{11}{20} & 63\% = \frac{63}{100} \\
27\% = \frac{27}{100} & 64\% = \frac{16}{25} \\
54\% = \frac{27}{50} & 34\% = \frac{17}{50} \\
75\% = \frac{3}{4} & 42\% = \frac{21}{50} \\
83\% = \frac{83}{100} & 25\% = \frac{1}{4} \\
6\% = \frac{3}{50} & 91\% = \frac{91}{100} \\
24\% = \frac{6}{25} & 80\% = \frac{4}{5} \\
7\% = \frac{7}{100} & 90\% = \frac{9}{10} \\
22\% = \frac{11}{50} & 85\% = \frac{17}{20}
\end{array}
}
\]