Converting Decimals to Fractions Worksheet

Converting a decimal into a fraction is a fairly straightforward process.

It involves looking at the number of decimal places the decimal has and putting the decimal part as the numerator and the denominator as a '1' followed the the same number of zeros as there are decimal places.

This converts the decimal into a decimal fraction (a fraction where the denominator is a power of 10.

After that, you will probably need to simplify the fraction.

Example 1) Convert 0.37 into a fraction.

This decimal has two decimal places.

So the numerator is the decimal number, which is 37.

The denominator is a '1' followed by 2 zeros, which is 100.

This give us \[ 0.37 = {37 \over 100} \]

Example 2) Convert 0.416 into a fraction.

This decimal has 3 decimal places.

So the numerator is the decimal number, which is 416.

The denominator is a '1' followed by 3 zeros, which is 1000.

This give us \[ 0.416 = {416 \over 1000} \]

Example 3) Convert 0.9 into a fraction.

This decimal has 1 decimal places.

So the numerator is the decimal number, which is 9.

The denominator is a '1' followed by 1 zero, which is 10.

This give us \[ 0.9 = {9 \over 10} \]

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!

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.

These sheets are similar to those in the section above, but involve mainly mixed decimals greater than one to convert.

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!

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.

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.

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.

The weblinks below contains more support, examples and practice converting between fractions, decimals and percents.

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.