How to find a fraction from a percentage

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Algebra › How to find a fraction from a percentage

Questions 1 - 10

1

Convert the percent into a fraction:

$\frac{21}{50}$

$\frac{42}{100}$

$\frac{11}{25}$

$\frac{12}{50}$

Explanation

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

$42%=\frac{42}{100}$

Then simplify as needed:

$\frac{42}{100}\div \frac{2}{2}=\frac{21}{50}$

For this question the final answer will be 21/50

2

Find the fractional equivalent of the following percent:

$\frac{31}{50}$

$\frac{8}{25}$

$\frac{33}{50}$

$\frac{62}{50}$

Explanation

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction:

$62%\rightarrow \frac{62}{50}\div \frac{2}{2}=\frac{31}{50}$

3

What is the fraction value of ?

$\frac{23}{50}$

$\frac{46}{100}$

$\frac{12}{25}$

$\frac{9}{20}$

$\frac{1}{4}$

Explanation

$46%=\frac{46}{100}\ \frac{46}{100}=\frac{23}{50}$

Since is prime, we cannot simplify this fraction any further.

4

Convert to a fraction in lowest terms.

$\frac{33}{50}$

$\frac{66}{100}$

$\frac{6}{10}$

$\frac{3}{5}$

$\frac{132}{200}$

Explanation

Since percentages are out of 100%, start first by dividing the percentage by 100 to convert it to a fraction.

$\frac{66}{100}$

Simplify the fraction to lowest terms by dividing the numerator (top) and denominator (bottom) by the same number or greatest common factor you can think of. In this case, since both 66 and 100 are even numbers, I know that 2 is a factor so I will divide both numbers by 2.

$\frac{66}{100}=\frac{33}{50}$

I check again if anything divides into both the top and the bottom but nothing does so this must be the fraction reduced to lowest terms.

5

Find the fraction for .

$\frac{3}{4}$

$\frac{5}{6}$

$\frac{2}{3}$

$\frac{7}{8}$

Explanation

A numerical percentage is out of 100 parts.

Remove the percentage sign and divide this number by 100.

$\frac{75}{100}$

Reduce this fraction by writing the factors of the numerator and denominator.

$\frac{75}{100} = \frac{25 \times 3}{25 \times 4}$

Cancel the 25.

The answer is: $\frac{3}{4}$

6

Convert the percent into a fraction:

$\frac{13}{50}$

$\frac{26}{100}$

$\frac{11}{25}$

$\frac{12}{50}$

Explanation

In order to change a percent into a fraction, the first step is to take the percent and place it over 100:

$26%=\frac{26}{100}$

Then simplify as needed:

$\frac{26}{100}\div \frac{2}{2}=\frac{13}{50}$

For this question the final answer will be 13/50

7

Find the fractional equivalent of the following percent:

$\frac{13}{100}$

$\frac{13}{50}$

$\frac{13}{25}$

$\frac{13}{10}$

Explanation

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$13%\rightarrow \frac{13}{100}$

8

Find the fraction value of

$\frac{5}{8}$

$\frac{31}{50}$

$\frac{1}{2}$

$\frac{6}{7}$

$\frac{5}{9}$

Explanation

$62.5%=62\frac{1}{2}\cdot\frac{2}{200}=\frac{125}{200}\ \frac{125}{200}=\frac{25}{40}=\frac{5}{8}$

9

What fraction is equivalent to

$\frac{2}{5}$

$\frac{4}{100}$

$\frac{4}{5}$

$\frac{4}{25}$

$\frac{0.40}{100}$

Explanation

To find a fraction from a percentage, do the following:

means 40 per 100, so it is the same as

$= \frac{40}{100}$

When we simplify, we get

$= \frac{4}{10}$

$= \frac{2}{5}$

So, if we write as a fraction, we get $\frac{2}{5}$ .

10

Find the fractional equivalent of the following percent:

$\frac{47}{100}$

$\frac{47}{50}$

$\frac{47}{1000}$

$\frac{47}{75}$

Explanation

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

$47%\rightarrow \frac{47}{100}$

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