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.
Try our NEW quick quiz at the bottom of this page to test your skills online.
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 Support
Looking to convert between fractions, decimals and percentages?
We have a wide range of support and 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!
Convert Fractions to Decimals Quiz
This quick quiz tests your knowledge and skill at converting a range of simple fractions into decimals.
The link below will open the quiz in a dedicated quiz page or you can preview a copy of the quiz underneath.
Our quizzes have been created using Google Forms.
At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.
This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.
For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.
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We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.
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We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.
Convert Fractions to Decimals Quiz
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