Converting Fractions to Percentages

Welcome to the Math Salamanders support page about Converting Fractions to Percentages.

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

Converting Fractions to Percentages

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

To convert a fraction to a percent, follow the steps below:

Step 1) Convert your fraction to a decimal by dividing the numerator by the denominator.

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

You have now changed your fraction to a percentage.

Examples

Example 1: Convert 3 5 into a percentage.

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

So we calculate 3 ÷ 5 = 0.6

Next multiply by 100 to change it to a percentage.

0.6 x 100 = 60

This means that:

3 5 =   3 ÷ 5 = 0.6 = 60%

Example 2: Convert 14 9 to a percentage.

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

Next multiply by 100 to change it to a percentage.

1.556 x 100 = 155.6

So we now have

14 9 =   14 ÷ 9 = 1.556 = 155.6% (to the nearest decimal place)

Converting Percentages to Fractions

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