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What is a Mixed Number?
Welcome to our What is a Mixed Number support page.
Hopefully all (or nearly all) your questions about mixed numbers will be answered here!
We have also included an interactive app produced by PhET to help you understand this concept.
What is a mixed number?
- A mixed number is a number that has a whole number part and a fraction part.
- You can also think of a mixed number being made up of a whole number, a numerator and a denominator.
- You can have both positive and negative mixed numbers.
- You can write mixed numbers as \[ a {b \over c} \] where a, b and c are whole numbers.
- Mixed numbers are also called mixed fractions.
Examples of mixed numbers (or mixed fractions)
Here are some examples of mixed numbers: \[ 4 {3 \over 5}, \; 6 {1 \over 2}, \; 12 {4 \over 7}, \; 25 {1 \over 20} \; and \; 6 {9 \over 21}. \]
Mixed Number Explorer
This is a Fraction Builder app created by:
PhET Interactive Simulations
University of Colorado Boulder
https://phet.colorado.edu
It is a great app for exploring mixed numbers and you can use it for developing your knowledge of fractions too.
If you load the app and go to the 'Mixed Numbers' area, then you can practice writing down the mixed number represented by each of the fractions.
Understanding Mixed Number Worksheets
These sheets can be used to complement the learning in the Mixed Number Explorer or as a standalone activity.
The aim of the worksheets is to understand how to read and write mixed numbers, both as a fraction diagram and in written form.
The first two sheets consist of writing the mixed number represented by different fraction parts shaded, and also shading the fraction parts to represent different mixed numbers.
The 3rd worksheets involves solving three different mixed number riddles - which is a more advanced sheet.
Other Recommended Worksheets
Here are some of our other related worksheets you might want to look at.
Free Printable Fraction Strips
Here you will find a selection of Fraction Strips designed to help your child understand their unit Fractions.
Using Fraction Strips is a great way to learn your Fraction facts and help you to understand exactly how much fractions are worth.
Using these fraction strips will help your child to:
- understand Fraction as lengths;
- understand equivalent fractions;
- understand visually how much each unit fraction is worth.
How to Convert Improper Fractions
This support page shows how to convert improper fractions to mixed numbers, and how to convert mixed numbers to improper fractions.
You will also find printable support sheets, and several practice math worksheets for this learning fractions skill.
Understanding Mixed Numbers Online Quiz
This quick quiz tests your knowledge of mixed numbers.
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.
How to Print or Save these sheets 🖶
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
How to Print or Save these sheets 🖶
Need help with printing or saving?
Follow these 3 steps to get your worksheets printed perfectly!
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The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.
If you have any questions or need any information about our site, please get in touch with us using the 'Contact Us' tab at the top and bottom of every page.
