# Math Tutorial 3.2 - Proper and Improper Fractions. Mixed Numbers

There are 7 lessons in this math tutorial covering Proper and Improper Fractions. Mixed Numbers. The tutorial starts with an introduction to Proper and Improper Fractions. Mixed Numbers and is then followed with a list of the separate lessons, the tutorial is designed to be read in order but you can skip to a specific lesson or return to recover a specific math lesson as required to build your math knowledge of Proper and Improper Fractions. Mixed Numbers. you can access all the lessons from this tutorial below.

In this Math tutorial, you will learn:

• What are proper fractions? What do they represent?
• What are improper fractions? What do they represent?
• How can we express improper fractions in other ways?
• What are the components of a mixed number?
• How to convert improper fractions into mixed number?
• What are some applications of improper fractions and mixed numbers in practice?

## Introduction

We explained in the previous guide that a fraction represents a part of a whole. However, this is a simplified version of what a fraction represents in itself. This is because we have, so far, only considered parts of a whole or even the whole (when numerator is equal to denominator). However, sometimes we deal with quantities that are more than a whole. Here we must consider the fact that such numbers can be shown in two ways, as we will see in this guide.

Please select a specific "Proper and Improper Fractions. Mixed Numbers" lesson from the table below, review the video tutorial, print the revision notes or use the practice question to improve your knowledge of this math topic.

Fractions Learning Material
Tutorial IDMath Tutorial TitleTutorialVideo
Tutorial
Revision
Notes
Revision
Questions
3.2Proper and Improper Fractions. Mixed Numbers
Lesson IDMath Lesson TitleLessonVideo
Lesson
3.2.1Proper Fractions
3.2.2Improper Fractions
3.2.3Mixed Numbers
3.2.4How to Convert an Improper Fraction into Mixed Number
3.2.5How to Avoid the Confusion between Improper Fractions and Integers Expressed as Fractions
3.2.6How to Convert a Mixed Number into Improper Fraction
3.2.7Applications of Improper Fractions and Mixed Numbers in Practice

## Whats next?

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6. Continuing learning fractions - read our next math tutorial: Comparing Fractions. Ordering Fractions