SAT Math - How to find a fraction from a percentage

Write as a fraction: 22%

4/9

2/3

4/7

11/50

11/100

Explanation

22% = 22/100

Divide everything by 2:

22/100 = 11/50

11 is a prime number, so this is as reduced as this fraction can get.

Turn the following percentage into a fraction:

$\frac{13}{20}$

$\frac{17}{20}$

$\frac{3}{4}$

$\frac{3}{5}$

Explanation

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$65%\rightarrow \frac{65}{100}$

From here, simplify the fraction as necessary:

$\frac{65}{100}\div \frac{5}{5}=\frac{13}{20}$

Write 7.5% as a fraction.

$\frac{7}{5}$

$\frac{14}{100}$

$\frac{3}{40}$

$\frac{15}{2000}$

$\frac{7.5}{10}$

Explanation

First convert the percentage to a decimal:

7.5% = .075

Then turn this into a fraction:

.075 = 75/1000

Simplify by dividing the numerator and denominator by 25:

75/1000 = 3/40

Turn the following percentage into a fraction:

$\frac{11}{50}$

$\frac{13}{20}$

$\frac{6}{25}$

$\frac{9}{20}$

Explanation

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$22%\rightarrow \frac{22}{100}$

From here, simplify the fraction as necessary:

$\frac{22}{100}\div \frac{2}{2}=\frac{11}{50}$

Turn the following percentage into a fraction:

$\frac{23}{50}$

$\frac{12}{25}$

$\frac{27}{50}$

$\frac{13}{25}$

Explanation

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$46%\rightarrow \frac{46}{100}$

From here, simplify the fraction as necessary:

$\frac{46}{100}\div \frac{2}{2}=\frac{23}{50}$

Turn the following percentage into a fraction:

$\frac{11}{20}$

$\frac{3}{5}$

$\frac{13}{50}$

$\frac{11}{25}$

Explanation

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$55%\rightarrow \frac{55}{100}$

From here, simplify the fraction as necessary:

$\frac{55}{100}\div \frac{5}{5}=\frac{11}{20}$

Turn the following percentage into a fraction:

$\frac{18}{25}$

$\frac{17}{25}$

$\frac{16}{25}$

$\frac{19}{20}$

Explanation

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$72%\rightarrow \frac{72}{100}$

From here, simplify the fraction as necessary:

$\frac{72}{100}\div \frac{2}{2}=\frac{36}{50}\div \frac{2}{2}=\frac{18}{25}$

Turn the following percentage into a fraction:

$\frac{22}{25}$

$\frac{23}{25}$

$\frac{21}{25}$

$\frac{24}{25}$

Explanation

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$88%\rightarrow \frac{88}{100}$

From here, simplify the fraction as necessary:

$\frac{88}{100}\div \frac{4}{4}=\frac{22}{25}$

Turn the following percentage into a fraction:

$\frac{11}{25}$

$\frac{12}{25}$

$\frac{11}{50}$

$\frac{11}{20}$

Explanation

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$44%\rightarrow \frac{44}{100}$

From here, simplify the fraction as necessary:

$\frac{44}{100}\div \frac{4}{4}=\frac{11}{25}$

Turn the following percentage into a fraction:

$\frac{3}{20}$

$\frac{1}{5}$

$\frac{7}{10}$

$\frac{9}{20}$

Explanation

Since a percentage is a "part of 100" to turn it into a fraction we take the original number in the percent and place it over 100:

$15%\rightarrow \frac{15}{100}$

From here, simplify the fraction as necessary:

$\frac{15}{100}\div \frac{5}{5}=\frac{3}{20}$

How to find a fraction from a percentage

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