Convert Percent to Fraction
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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.

Convert Percent to Fraction

How to Convert a Percentage to a Fraction

Here you will find some simple information and advice about how to convert a percentage to a fraction.

Further down this page you will also find a printable support sheet along with a practice exercise to help you consolidate your understanding.

Percent to Fraction Converter

Convert Percent to Fraction
Answer
Answer

 
 

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.

Convert Percent to Fraction Frazer Salamander



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 \[ 225\% \; = \; {225 \over 100} \; = \; {9 \over 4}\]

Convert Percent to Fraction printable sheets

Use this printable support sheet below if you would like a more printer-friendly version of this page.

Converting Fractions to Percentages Practice

Here you will find a printable sheet where you can practice your math skills at converting fractions to percentages.

Converting Fractions to Percentages

Here you will find some simple information and advice about how to convert fractions to percentages.

You will also find a printable resource sheet and some practice sheets which will help you understand and practice this math skill.

Fractions Decimals Percents Worksheets

Looking to convert between fractions, decimals and percentages?

We have a wide range of worksheets to meet your needs!

 

How to Print or Save these sheets

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How to Print or Save these sheets

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Need help with printing or saving?
Follow these 3 easy steps to get your worksheets printed out perfectly!

 

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