Convert Percent to Fraction - Free Printable

To convert a percentage to a fraction, you follow these steps:
1. Write the percentage number as the numerator (top number).
2. Write 100 as the denominator (bottom number).
3. Simplify the fraction by dividing both numbers by their greatest common divisor until they cannot be divided any further.
4. If the result is greater than 1 (like 120%), leave it as an improper fraction (e.g., $\frac{6}{5}$) rather than a mixed number, as per the instructions.

Here are the solutions for each problem on the sheet:

2) $40\% = \frac{40}{100}$. Divide top and bottom by 20.
Answer: $\frac{2}{5}$

3) $14\% = \frac{14}{100}$. Divide top and bottom by 2.
Answer: $\frac{7}{50}$

4) $25\% = \frac{25}{100}$. Divide top and bottom by 25.
Answer: $\frac{1}{4}$

5) $30\% = \frac{30}{100}$. Divide top and bottom by 10.
Answer: $\frac{3}{10}$

6) $37\% = \frac{37}{100}$. 37 is a prime number and doesn't divide into 100.
Answer: $\frac{37}{100}$

7) $66\% = \frac{66}{100}$. Divide top and bottom by 2.
Answer: $\frac{33}{50}$

8) $82\% = \frac{82}{100}$. Divide top and bottom by 2.
Answer: $\frac{41}{50}$

9) $50\% = \frac{50}{100}$. Divide top and bottom by 50.
Answer: $\frac{1}{2}$

10) $26\% = \frac{26}{100}$. Divide top and bottom by 2.
Answer: $\frac{13}{50}$

11) $75\% = \frac{75}{100}$. Divide top and bottom by 25.
Answer: $\frac{3}{4}$

12) $24\% = \frac{24}{100}$. Divide top and bottom by 4.
Answer: $\frac{6}{25}$

13) $70\% = \frac{70}{100}$. Divide top and bottom by 10.
Answer: $\frac{7}{10}$

14) $89\% = \frac{89}{100}$. 89 is a prime number.
Answer: $\frac{89}{100}$

15) $74\% = \frac{74}{100}$. Divide top and bottom by 2.
Answer: $\frac{37}{50}$

16) $120\% = \frac{120}{100}$. Divide top and bottom by 20.
Answer: $\frac{6}{5}$

17) $55\% = \frac{55}{100}$. Divide top and bottom by 5.
Answer: $\frac{11}{20}$

18) $142\% = \frac{142}{100}$. Divide top and bottom by 2.
Answer: $\frac{71}{50}$

19) $150\% = \frac{150}{100}$. Divide top and bottom by 50.
Answer: $\frac{3}{2}$

20) $54\% = \frac{54}{100}$. Divide top and bottom by 2.
Answer: $\frac{27}{50}$

21) $34\% = \frac{34}{100}$. Divide top and bottom by 2.
Answer: $\frac{17}{50}$

22) $27\% = \frac{27}{100}$. They share no common factors.
Answer: $\frac{27}{100}$

23) $135\% = \frac{135}{100}$. Divide top and bottom by 5.
Answer: $\frac{27}{20}$

24) $72\% = \frac{72}{100}$. Divide top and bottom by 4.
Answer: $\frac{18}{25}$

25) $81\% = \frac{81}{100}$. They share no common factors.
Answer: $\frac{81}{100}$

26) $178\% = \frac{178}{100}$. Divide top and bottom by 2.
Answer: $\frac{89}{50}$

27) $310\% = \frac{310}{100}$. Divide top and bottom by 10.
Answer: $\frac{31}{10}$

28) $275\% = \frac{275}{100}$. Divide top and bottom by 25.
Answer: $\frac{11}{4}$

29) $180\% = \frac{180}{100}$. Divide top and bottom by 20.
Answer: $\frac{9}{5}$

30) $56\% = \frac{56}{100}$. Divide top and bottom by 4.
Answer: $\frac{14}{25}$

31) $17\% = \frac{17}{100}$. 17 is a prime number.
Answer: $\frac{17}{100}$

32) $420\% = \frac{420}{100}$. Divide top and bottom by 20.
Answer: $\frac{21}{5}$

33) $36\% = \frac{36}{100}$. Divide top and bottom by 4.
Answer: $\frac{9}{25}$

34) $164\% = \frac{164}{100}$. Divide top and bottom by 4.
Answer: $\frac{41}{25}$

35) $118\% = \frac{118}{100}$. Divide top and bottom by 2.
Answer: $\frac{59}{50}$

Final Answer:
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) $\frac{59}{50}$