Improper Fraction Worksheets

Welcome to our Improper Fraction Worksheets page.

Here you will find a wide range of free printable Fraction Worksheets which will help your child understand and practice how to convert improper fractions to mixed numbers.

Improper Fraction Worksheets

Improper fractions are fractions with an absolute value greater than 1.

We have more information about what proper and improper fractions are with some examples below.

There are also a range of sheets to help develop the skill of converting improper fractions - both easier sheets with visual models and harder sheets without any visual aids.

Using these sheets will help your child to:

  • understand what improper fractions are;
  • convert improper fractions to mixed numbers;
  • convert mixed numbers to improper fractions.

Want to test yourself to see how well you have understood this skill?

  • Try our NEW quick quiz at the bottom of this page.

What are Proper, Improper and Mixed Fractions?

A fraction is a number with the form: \[ {n \over d} \]

  • If the numerator is smaller than the denominator (if n < d), then the fraction is called a proper fraction, and its value is less than 1.
  • If the numerator is greater than the denominator (if n > d), then the fraction is called an improper fraction, and its value is greater than 1.
  • If the numerator is equal to the denominator (if n = d), then the fraction's value is equal to 1.
  • Please note: if the value of n or d is negative, then we compare the absolute values.

  • A mixed fraction (or mixed number) is a number that has a whole number part to it, and a fraction part to it.

Types of Fractions Examples

\[{3 \over 7} \; , \; {2 \over 10} \; and \; {17 \over 26} \] are all proper fractions.

\[ {31 \over 5} \; , \; {15 \over 10} \; , \; -{7 \over 4} \; and \; {37 \over 23} \] are all improper fractions.

\[ 3{1 \over 5} \; , \; 2 {5 \over 8} \; and \; 4 {1 \over 2} \] are all mixed numbers or mixed fractions.

Improper Fractions Support

Here you will find the support page on how to find equivalent fractions if you get stuck or want some support.

Converting Improper Fraction Worksheets

Here you will find a selection of Fraction worksheets designed to help your child to understand and practice converting improper fractions.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

We have split the sheets into two sections with the first section looking at improper fractions visually.

The sheets in the second sections are more abstract (with no visual models) and tricky!

These sheets are aimed at students at 4th and 5th grade, with the more abstract worksheets for 5th graders.

Converting Improper Fraction VISUAL Worksheets

Improper Fraction Worksheets to Mixed Numbers
Visual Fractions

Mixed Numbers to Improper Fraction Worksheets
Visual Fractions

Convert Improper Fraction Worksheets
Visual Fractions

Converting Improper Fraction Trickier Worksheets

Convert Improper Fractions to Mixed Fractions Trickier Sheets

Convert Mixed Fractions to Improper Fractions Trickier sheets

More Recommended Math Resources

Take a look at some more of our worksheets and resources similar to these.

Improper Fraction Calculator

If you just want a calculator to do the hard work for you, then try our Improper Fraction Calculator.

The calculator will convert any mixed number to an improper fraction, or an improper fraction into a mixed number.

The great thing is that it will also show you all the working out - job done!

What is a Mixed Number

This support page introduces mixed numbers with some examples and an interactive teaching app.

There are also some practice worksheets to help you identify and write mixed numbers.

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.

Comparing Fractions

We have some carefully graded worksheets on comparing and ordering fractions.

You can choose from supported sheets with diagrams for students who need extra help to harder worksheets for those more confident.

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.

Fraction Riddles

Riddles are a great way to get children to apply their knowledge of fractions.

These riddles are a good way to start off a maths lesson, or also to use as a way of checking your child's understanding about fractions.

All the fraction riddles consist of 3 or 4 clues and a selection of 6 or 8 possible answers. Children have to read the clues and work out which is the correct answer.

The riddles can also be used as a template for the children to write their own clues for a partner to guess.

Improper Fractions Online Quiz

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' field which is optional. We collect this information so that if a class of students is taking a quiz, the individual results can be recorded along with the first name of the student.

We also collect the results from the quizzes which we use to help us to develop our resources.

For more information on the information we collect, please take a look at our Privacy Policy

If the error message 'File Unavailable' should appear in a pop-up window with a 'RELOAD' option in the bottom right corner of the screen:

  • Don't click the RELOAD link - it doesn't do anything
  • click anywhere on the screen but not inside the pop-up window
  • the pop-up window should disappear and you should be able to see your results.
  • NB. This error is a Google error in the Google Quiz app - it is currently unresolved!

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.

This quick quiz tests your knowledge and skills at using improper fractions here.


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