Support 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!

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.

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!

Need to convert fraction to percent? Use the link below.

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

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 \[ 35\% \; = \; {35 \over 100} \; = \; {7 \over 20}\]

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 \[ 57\% \; = \; {57 \over 100} \]

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 \[ 132\% \; = \; {33 \over 25} \; = \; 1 {8 \over 25}\]

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

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

Here you will find a printable sheet where you can practice your math skills at 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.

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

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 easy steps to get your worksheets printed out perfectly!

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

Looking for some fun printable math games?

We have some great games for you to play in our Math Games e-books!

Do you know how old you are...in weeks? days? hours?

Are you more than a million minutes old?

Find out how old you are to the nearest second!

We have updated and improved our fraction calculators to show you how to solve your fraction problems step-by-step!

Take a look and try them out!

Have a look at some of our most popular pages to see different Math activities and ideas you could use with your child

- Reverse Percentage Calculator
- List of Geometric Shapes
- Equivalent Fractions
- 3d Geometric Shapes
- Perimeter Worksheets

If you are a regular user of our site and appreciate what we do, please consider making a small donation to help us with our costs.

Get a free sample copy of our Math Salamanders Dice Games book with each donation!

Looking for a fun and motivating way to learn and practice math skills?

Why not try one of our free printable math games with your students!

## New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.