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Converting Decimals to Fractions Worksheet
Welcome to our Converting Decimals to Fractions Worksheets page.
Here you will find our selection of worksheets to help you to practice converting decimals into fractions.
Looking for help? We also have some worked examples and links to our support page which will help you to nail this concept.
Try our NEW quick quiz at the bottom of this page to test your skills online.
Converting Decimals to Fractions Worksheets
How to convert decimals into fractions?
Converting a decimal into a fraction is a fairly straightforward process.
Step 1) Put the decimal over a denominator of 1.
This does not change the value of the decimal.
Step 2) Multiply the numerator and denominator by 10n where n is the number of decimal places the decimal has.
This changes the fraction into a decimal fraction, where the numerator is whole number and the denominator is a power of 10 (such as 10, 100, 1000, etc.)
Step 3) (Optional) Simplify the fraction.
You may need to simplify the fraction to finish.
Example A) Convert 0.37 into a fraction.
Step 1) Put the decimal over a denominator of 1.
\[ 0.37 = {0.37 \over 1} \]
Step 2) Multiply the numerator and denominator by 10n where n is the number of decimal places the decimal has.
The decimal has 2 decimal places. So 102 = 10 x 10 = 100
\[ {0.37 \over 1} = {0.37 \over 1} \times {100 \over 100} = {0.37 \times 100 \over 1 \times 100} = {37 \over 100} \]
This give us \[ 0.37 = {37 \over 100} \]
Example B) Convert 0.416 into a fraction.
Step 1) Put the decimal over a denominator of 1.
\[ 0.416 = {0.416 \over 1} \]
Step 2) Multiply the numerator and denominator by 10n where n is the number of decimal places the decimal has.
The decimal has 3 decimal places. So 103 = 10 x 10 x 10 = 1000
\[ {0.416 \over 1} = {0.416 \over 1} \times {1000 \over 1000} = {0.416 \times 1000 \over 1 \times 1000} = {416 \over 1000} \]
This give us \[ 0.416 = {416 \over 1000} \]
Example C) Convert 0.9 into a fraction.
Step 1) Put the decimal over a denominator of 1.
\[ 0.9 = {0.9 \over 1} \]
Step 2) Multiply the numerator and denominator by 10n where n is the number of decimal places the decimal has.
The decimal has 1 decimal place. So 101 = 10
\[ {0.9 \over 1} = {0.9 \over 1} \times {10 \over 10} = {0.9 \times 10 \over 1 \times 10} = {9 \over 10} \]
This give us \[ 0.9 = {9 \over 10} \]
Looking for more help converting decimals to fractions?
Take a look at our dedicated help page on how to convert a decimal into a fraction.
This page has lots of worked examples and a video to watch!
Converting Decimals to Fractions Worksheets
Here are our worksheets to help you practice converting decimals to fractions.
The sheets within each section are graded with the easiest ones first.
The harder sheets involve both converting the decimals and then simplifying the fractions.
We also have separate sheets involving converting mixed decimals (with a value greater than 1) into fractions.
These sheets are aimed at students in 5th and 6th grade.
Converting Mixed Decimals to Fractions Worksheets
These sheets are similar to those in the section above, but involve mainly mixed decimals greater than one to convert.
Converting Decimals to Fractions Walkthrough Video
This short video walkthrough shows several problems from our Convering Mixed Decimals to Fractions Sheet 1 being solved and has been produced by the West Explains Best math channel.
If you would like some support in solving the problems on these sheets, check out the video!
Fraction to Decimal Riddles
We have some fun fraction - decimal worksheets involving working your way through clues to solve a riddle.
The riddles all involve converting between fractions and decimals.
More Recommended Math Worksheets
Take a look at some more of our worksheets similar to these.
Simplifying Fractions
Take a look at our Simplifying Fractions Practice Zone or try our worksheets for finding the simplest form for a range of fractions.
You can choose from proper fractions, improper fractions or both.
You can print out your results or benchmark your scores against future achievements.
Good for practising equivalent fractions as well as converting to simplest form.
Great for using with a group of children as well as individually.
Learning Fractions
Are you looking for free fraction help or fraction support?
Here you will find a range of fraction help on a variety of fraction topics, from simplest form to converting fractions.
There are fraction videos, worked examples and practice fraction worksheets.
Converting between Fractions, Decimals & Percentages
The weblinks below contains more support, examples and practice converting between fractions, decimals and percents.
Convert Improper Fractions Online Quiz
This quick quiz tests your knowledge and skill at converting a range of decimals into fractions.
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.
We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.
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.
For more information on the information we collect, please take a look at our Privacy Policy
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 Decimals to Fractions Quiz
This quick quiz tests your knowledge and skill at converting a range of decimals into fractions.
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