Converting Fractions to Percentages

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

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

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How to Convert a Fraction to a Percentage

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

Further down this page you will also find a printable support sheet along with a practice exercise to help you consolidate your understanding.

Fraction to Percentage Converter

If you want to convert a fraction into a percentage, please use the calculator below.

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).

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

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.

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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)

Convert Fractions to Percentages printable sheets

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

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Converting Fractions to Percentages Support Sheet

Converting Fractions to Percentages Practice

Here you will find a printable sheet where you can practice your math skills at converting fractions to percentages.

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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.

All the free Math sheets in this section support the Elementary Math Benchmarks for Grades 4 and 5.

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