# Convert Fraction to PercentSupport 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!

## Convert Fraction to Percent

### 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.

#### 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. #### 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 Practice

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.

### Fractions Decimals Percents Worksheets

How to Print or Save these sheets

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