Math Section 3 - Fractions

In this set of Math Tutorials we cover Fractions in detail with clear guides, Fractions formulas and working examples. Each tutorial includes example questions, a revision guide and supporting Fractions calculators

We also provide online Fractions Calculators which allow you to calculate specific Fractions formula in support of the tutorials or to check and verify your own calculations in support of your Fractions homework, math coursework or to help you improve your own understanding so it is easier to teach your children Fractions.

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Fractions Learning Material and Fractions Study Aide
Tutorial IDTitleTutorialVideo
3.1The Meaning of Fractions. Equivalent Fractions. Simplifying Fractions
3.2Proper and Improper Fractions. Mixed Numbers
3.3Comparing Fractions. Ordering Fractions
3.4Operations with Fractions
3.5Converting Fractions to Decimals and Vice-versa

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Fractions Tutorials Snapshot

This chapter deals with fractions, which are nothing more than the rational numbers we discussed in chapter 1. First, the structure of fractions and some basic concepts regarding fractions are explained. Then, the concept of equivalent fractions as a basis for simplifications, and other operations with fractions is given. At the end of the first tutorial, we will explain how to write a fraction in the lowest terms.

In the second tutorial, we discuss proper and improper fractions and how they differ from each other. Moreover, we will introduce another form of expressing improper fractions (mixed numbers) and you will learn how to convert from one form to the other, including some applications of them in practice.

The third tutorial focuses on comparing and ordering fractions. This is done either by turning fractions at the same denominator or at the same numerator. Then, we will explain how to express and compare fractions in a number line.

The fourth tutorial is focused on operations with fractions. First, individual operations such as addition, subtraction, multiplication, division and the power of fractions are explained. Then, you will learn how to solve an arithmetic expression containing fractions using the PEMDAS (BEDMAS) rule, as a rule that highlights the order of operations in such expressions.

The last tutorial is focused on converting fractions to decimals and vice versa. A great deal of this tutorial is dedicated to how to convert a recurring decimal into a fraction, which involves a new and special technique. Moreover, the concept of decimal fraction, as a prerequisite for converting a fraction to decimal is explained using numerous examples.

Fractions Calculators

The following Math Calculators are provided in support of the Fractions tutorials.