Convert Fractions to Decimal
Support Page

Welcome to our Convert Fractions to Decimal support page.

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

We have several worked examples as well as a link to our fraction to decimal calculator and a practice sheet.

Convert Fractions to Decimal Support Page

Fraction to Decimal Calculator

Our fraction to decimal calculator will convert any fractions to a decimal and you can choose what degree of accuracy you wish.

Converting Fractions to Decimals

To convert a fraction to a decimal, you need to understand that the fraction sign — and the division sign ÷ are actually the same!

So in other words: \[ {a \over b} \; = \; a ÷ b \]

If you use a calculator, it is quite easy to convert a fraction into a decimal. If you do not have a calculator, you can still convert a fraction into a decimal using long (or short) division.

How to convert a fraction to a decimal

  • Take the numerator of the fraction and divide it by the denominator.
  • Your calculator will now display the fraction as a decimal.

Converting a Fraction to a Decimal Examples

Example 1) Change into a decimal the fraction: \[ {3 \over 8} \]

We calculate 3 ÷ 8 = 0.375

So we have: \[ { 3 \over 8 } \; = \; 0.375 \]

Example 2) Convert into a decimal the fraction \[ {9 \over 20} \]

We calculate 9 ÷ 20 = 0.45

This gives us: \[ { 9 \over 20 } \; = \; 0.45 \]

Example 3) Convert into a decimal the fraction \[ 4 {1 \over 5} \]

We calculate 1 ÷ 5 = 0.2

This gives us: \[ 4 { 1 \over 5 } \; = \; 4 + 0.2 \; = \; 4.2 \]

Example 4) Convert into a decimal the fraction \[ {13 \over 4} \]

We calculate 13 ÷ 4 = 3.25

This gives us: \[ { 13 \over 4 } \; = \; 3.25 \]

Convert Fractions to Decimals printable sheets

If you would like to a printable version of this support sheet in a little more detail, please print out the support sheet below which also contains a short practice exercise on converting fractions to decimals.

Other Useful Pages...

Converting Decimals to Fractions

Here you will find some simple information and advice about how to convert a decimal to a fraction. Before you learn how to do this, you should also know about simplifying fractions.

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!

Simplify Fraction Calculator

We have a simplify fraction calculator which will convert any fraction into its simplest form.

The calculator will also show you detailed working out to show how to get the answer.

Free Fraction Calculator

Here you will find the Math Salamanders Free Fraction Calculator.

This calculator will enable you to:

  • add, subtract, multiply and divide fractions
  • convert fractions to simplest form
  • convert improper fractions to mixed fractions
  • convert fractions to decimals and percentages
  • convert decimals and percentages to fractions.

Using the calculator is a great way to self-check that you have understood your fraction learning!

 

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!

Subscribe to Math Salamanders News

Sign up for our newsletter and get free math support delivered to your inbox each month. Free seasonal math grab pack included.

Math-Salamanders.com

Math Salamanders Main Logo

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.


New! Comments

Have your say about the Math resources on this page! Leave me a comment in the box below.