Support Page

Welcome to our Convert Fraction to Percent support page.

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

We also have a calculator which will not only do the work for you, but also show you all the working out along the way!

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

To enter a fraction, you have to enter the numerator followed by '/' followed by the denominator. E.g. 4/5 or 23/7

To enter a mixed fraction, first type the whole number followed by space followed by the numerator followed by '/' followed by the denominator. E.g. 3 1/4 (3 and a quarter).

Press the Convert button and the fraction will be converted to a decimal and also a percentage.

Need to convert a percentage to a fraction? Use the link below.

There are two main ways to convert a fraction into a percent:

- The Denominator Way - converting the fraction to an equivalent fraction with a denominator of 100
- The Decimal Way - converting the fraction to a decimal and then converting the decimal to a percent

This way is a great way to use if the fraction has a denominator which is a factor of 100.

Here are the two quick steps you need to follow:

- Divide 100 by the denominator to find the multiplier.
- Multiply the numerator and denominator of the fraction by the multiplier to give you an equivalent fraction with a denominator of 100.

You will notice that the denominator, which is 5, is a factor of 100.

100 ÷ 5 = 20, so 20 is our multiplier.

So we need to multiply the numerator and denominator by 20 to give us an equivalent fraction with a denominator of 100.

\[ {3 \over 5 } = {3 \times 20 \over 5 \times 20} = {60 \over 100} \]

Because a percentage is simply a fraction with a denominator of 100, we have found our percentage which is 60%.

So our answer is: \[ {3 \over 5} \; = \; 60\% \]

The denominator is 20, which is a factor of 100.

100 ÷ 20 = 5, so our multiplier is 5.

This gives us: \[ {7 \over 20} = {7 \times 5 \over 20 \times 5} = {35 \over 100} \]

Because a percentage is simply a fraction with a denominator of 100, we have found our percentage which is 35%.

So the answer is: \[ {7 \over 20} \; = \; 35\% \]

This method works well for any fraction, and it is the way our Fraction to Percentage calculator uses.

Step 1) Convert your fraction to a decimal by dividing the numerator by the denominator if you have a calculator this is easy, otherwise you need to use a dvision method.

Step 2) Multiply the decimal by 100 to change it into a percent.

You have now changed your fraction to a percentage.

Step 1)

To convert the fraction to a decimal we divide the numerator by the denominator.

So we calculate 3 ÷ 5 = 0.6

Step 2)

Multiply by 100 to change it to a percentage.

0.6 x 100 = 60%

This means that: \[{3 \over 5} \; = \; 60\% \]

Step 1)

First, we calculate 14 ÷ 9 = 1.556 (this decimal has been rounded to 3 decimal places)

Step 2)

Next multiply by 100 to change it to a percentage.

1.556 x 100 = 155.6%

Final answer: \[{14 \over 9} \; = \; 155.6\% \; (to \;1dp) \]

Step 1)

First, we calculate 7 ÷ 8 = 0.875

Step 2)

Next multiply by 100 to change it to a percentage.

0.875 x 100 = 87.5%

Final answer: \[{7 \over 8} \; = \; 87.5\% \]

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.

The first two sheets get students to use the denominator method to create an equivalent fraction with a denominator of 100.

The third sheet uses the Decimal Conversion method to convert the fraction to a decimal then multiply by 100. Calculator recommended.

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

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 steps to get your worksheets printed perfectly!

How to Print or Save these sheets

Need help with printing or saving?

Follow these 3 steps to get your worksheets printed 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.

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