Worksheet for converting percentages to fractions, including examples and practice problems.

To solve the problem of converting percentages to fractions, we follow these steps:

1. Write the percentage as a fraction with a denominator of 100.
2. Simplify the fraction if possible.
3. Leave the answer as an improper fraction if it is greater than 1.

Let's go through each percentage step by step.

Step-by-Step Solutions

#### 1) \( 12\% \)
\[ 12\% = \frac{12}{100} = \frac{3}{25} \]

#### 2) \( 40\% \)
\[ 40\% = \frac{40}{100} = \frac{2}{5} \]

#### 3) \( 14\% \)
\[ 14\% = \frac{14}{100} = \frac{7}{50} \]

#### 4) \( 25\% \)
\[ 25\% = \frac{25}{100} = \frac{1}{4} \]

#### 5) \( 30\% \)
\[ 30\% = \frac{30}{100} = \frac{3}{10} \]

#### 6) \( 37\% \)
\[ 37\% = \frac{37}{100} \] (already in simplest form)

#### 7) \( 66\% \)
\[ 66\% = \frac{66}{100} = \frac{33}{50} \]

#### 8) \( 82\% \)
\[ 82\% = \frac{82}{100} = \frac{41}{50} \]

#### 9) \( 50\% \)
\[ 50\% = \frac{50}{100} = \frac{1}{2} \]

#### 10) \( 26\% \)
\[ 26\% = \frac{26}{100} = \frac{13}{50} \]

#### 11) \( 75\% \)
\[ 75\% = \frac{75}{100} = \frac{3}{4} \]

#### 12) \( 24\% \)
\[ 24\% = \frac{24}{100} = \frac{6}{25} \]

#### 13) \( 70\% \)
\[ 70\% = \frac{70}{100} = \frac{7}{10} \]

#### 14) \( 89\% \)
\[ 89\% = \frac{89}{100} \] (already in simplest form)

#### 15) \( 74\% \)
\[ 74\% = \frac{74}{100} = \frac{37}{50} \]

#### 16) \( 120\% \)
\[ 120\% = \frac{120}{100} = \frac{6}{5} \]

#### 17) \( 55\% \)
\[ 55\% = \frac{55}{100} = \frac{11}{20} \]

#### 18) \( 142\% \)
\[ 142\% = \frac{142}{100} = \frac{71}{50} \]

#### 19) \( 150\% \)
\[ 150\% = \frac{150}{100} = \frac{3}{2} \]

#### 20) \( 54\% \)
\[ 54\% = \frac{54}{100} = \frac{27}{50} \]

#### 21) \( 34\% \)
\[ 34\% = \frac{34}{100} = \frac{17}{50} \]

#### 22) \( 27\% \)
\[ 27\% = \frac{27}{100} \] (already in simplest form)

#### 23) \( 135\% \)
\[ 135\% = \frac{135}{100} = \frac{27}{20} \]

#### 24) \( 72\% \)
\[ 72\% = \frac{72}{100} = \frac{18}{25} \]

#### 25) \( 81\% \)
\[ 81\% = \frac{81}{100} \] (already in simplest form)

#### 26) \( 178\% \)
\[ 178\% = \frac{178}{100} = \frac{89}{50} \]

#### 27) \( 310\% \)
\[ 310\% = \frac{310}{100} = \frac{31}{10} \]

#### 28) \( 275\% \)
\[ 275\% = \frac{275}{100} = \frac{11}{4} \]

#### 29) \( 180\% \)
\[ 180\% = \frac{180}{100} = \frac{9}{5} \]

#### 30) \( 56\% \)
\[ 56\% = \frac{56}{100} = \frac{14}{25} \]

#### 31) \( 17\% \)
\[ 17\% = \frac{17}{100} \] (already in simplest form)

#### 32) \( 420\% \)
\[ 420\% = \frac{420}{100} = \frac{21}{5} \]

#### 33) \( 36\% \)
\[ 36\% = \frac{36}{100} = \frac{9}{25} \]

#### 34) \( 164\% \)
\[ 164\% = \frac{164}{100} = \frac{41}{25} \]

#### 35) \( 118\% \)
\[ 118\% = \frac{118}{100} = \frac{59}{50} \]

Final Answer

\[
\boxed{
\begin{array}{lll}
1) & \frac{3}{25} & \\
2) & \frac{2}{5} & \\
3) & \frac{7}{50} & \\
4) & \frac{1}{4} & \\
5) & \frac{3}{10} & \\
6) & \frac{37}{100} & \\
7) & \frac{33}{50} & \\
8) & \frac{41}{50} & \\
9) & \frac{1}{2} & \\
10) & \frac{13}{50} & \\
11) & \frac{3}{4} & \\
12) & \frac{6}{25} & \\
13) & \frac{7}{10} & \\
14) & \frac{89}{100} & \\
15) & \frac{37}{50} & \\
16) & \frac{6}{5} & \\
17) & \frac{11}{20} & \\
18) & \frac{71}{50} & \\
19) & \frac{3}{2} & \\
20) & \frac{27}{50} & \\
21) & \frac{17}{50} & \\
22) & \frac{27}{100} & \\
23) & \frac{27}{20} & \\
24) & \frac{18}{25} & \\
25) & \frac{81}{100} & \\
26) & \frac{89}{50} & \\
27) & \frac{31}{10} & \\
28) & \frac{11}{4} & \\
29) & \frac{9}{5} & \\
30) & \frac{14}{25} & \\
31) & \frac{17}{100} & \\
32) & \frac{21}{5} & \\
33) & \frac{9}{25} & \\
34) & \frac{41}{25} & \\
35) & \frac{59}{50} & \\
\end{array}
}
\]