Convert Fraction to Percent
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.

Convert Fraction to Percent

Fraction to Percentage Calculator

Convert Fraction to Percent
Answer
Answer

 
 

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

How It Works

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.

How to Convert Fractions to Percentages

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

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

Method 1 - The Denominator Way

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:

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

Examples using the Denominator Way

Example 1) Convert into a percentage the fraction: \[ {3 \over 5} \]

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


Example 2) Convert into a percentage the fraction: \[ {7 \over 20} \]

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

Method 2 - The Decimal Conversion Way

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.

Convert Fractions to Percentages Frazer Salamander

Examples using the Decimal Conversion Way

Example 1) Convert into a percentage the fraction: \[{3 \over 5} \]

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


Example 2) Convert into a percentage the fraction: \[{14 \over 9} \]

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


Example 3) Convert into a percentage the fraction: \[{7 \over 8} \]

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

Convert Fraction to Percent printable sheets

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

Convert Fraction to Percent Practice

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.

Converting Percentages to Fractions

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.

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

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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