# Convert Percent to FractionSupport Page

Welcome to the Math Salamanders support page about How to Convert Percent to Fraction.

Here you will find information and support about how to convert a percentage into a fraction.

There are several worked examples, some practice sheets and even a calculator which will do all the work for you.

The best thing about the calculator is that it shows you all the working out along the way!

## Convert Percent to Fraction

### How It Works

Type in your percentage, and then click the Convert button to convert it into a fraction.

The answer will be displayed both as a decimal fraction, and in simplest form.

If you need help on how to convert a percentage to a fraction, there is more help further down!

### Converting Percentages to Fractions

The important fact to remember when dealing with percentages is that percent means 'out of 100'. To convert a percentage to a fraction, follow the steps below:

Step 1) Change your percentage to a fraction by putting the percentage number over a denominator of 100.

Step 2) Change it to simplest form if required.

You have now changed your percentage to a fraction.

Examples

#### Example 1: Convert 35% into a fraction in its simplest form.

To convert the percentage to a fraction we put the percentage number over a denominator of 100.

So we have $35\% \; = \; {35 \over 100}$

Next we need to change the fraction to simplest form. In this case, by dividing the numerator and denominator by 5.

${35 \over 100} \; = \; {35 ÷ 5 \over 100 ÷ 5} \; = \; {7 \over 20}$

So we have $35\% \; = \; {35 \over 100} \; = \; {7 \over 20}$

#### Example 2: Convert 57% into a fraction.

To convert the percentage to a fraction we put the percentage number over a denominator of 100.

So we have $57\% \; = \; {57 \over 100}$

This fraction is already in simplest form.

So we have $57\% \; = \; {57 \over 100}$

#### Example 3: Convert 132% to a mixed fraction.

To convert the percentage to a fraction we put the percentage number over a denominator of 100.

So we have $132\% \; = \; {132 \over 100}$

Next we need to change the fraction to simplest form. In this case, we can divide the numerator and denominator by 4.

${132 \over 100 } \; = \; {132 ÷ 4 \over 100 ÷ 4} \; = \; {33 \over 25}$

Next we need to convert it to a mixed fraction (or mixed number).

${33 \over 25} \; = \; 1 {8 \over 25}$

So we have $132\% \; = \; {33 \over 25} \; = \; 1 {8 \over 25}$

#### Example 4: Convert 225% to an improper fraction.

To convert the percentage to a fraction we put the percentage number over a denominator of 100.

So we have $225\% \; = \; {225 \over 100}$

Next we need to change the fraction to simplest form. In this case, we can divide the numerator and denominator by 25.

${225 \over 100 } \; = \; {225 ÷ 25 \over 100 ÷ 25} \; = \; {9 \over 4}$

So we have $225\% \; = \; {225 \over 100} \; = \; {9 \over 4}$

### Fractions Decimals Percents Worksheets

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