Convert Fractions to Decimal (2024)

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Convert Fractions to Decimal (1)

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.

Fraction to Decimal Calculator

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

  • Fraction to Decimal Calculator

Converting Fractions to Decimals

To convert a fraction to a decimal, you need to understandthat 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 adecimal 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 ina little more detail, please print out the support sheet belowwhich also contains a short practice exercise on converting fractions to decimals.

  • Convert Fractions to Decimal Sheet
  • Answer Sheet
  • PDF version

Other Useful Pages...

Converting Decimals to Fractions

Here you will find some simple information and advice about how toconvert 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 practicesheets which will help you understand and practice this math skill.

  • Decimal to Fraction Calculator

  • Convert Decimal to Fraction Support

Fractions Decimals Percents Worksheets

Looking to convert between fractions, decimals and percentages?

We have a wide range of worksheets to meet your needs!

  • Fractions Decimals Percents Worksheets

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.

  • Simplify Fraction Calculator

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 understoodyour fraction learning!

  • Free Fraction Calculator

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Follow these 3 steps to get your worksheets printed perfectly!

  • How to Print support

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Convert Fractions to Decimal (10)

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