Convert Fractions to Decimal (2024)

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

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.

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

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 Decimal Sheet
• Answer Sheet
• PDF version

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

Looking to convert between fractions, decimals and percentages?

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

• Fractions Decimals Percents Worksheets

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

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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