# Fractions

## What Is a Fraction?

A fraction is a part of a whole number.

We use whole numbers to count a whole number of objects (1 apples, 2 balls, 3 cars): We use fractions when we wish to count parts of whole objects (12 an apple, 13 of marks in a test, 14 of a cake): ### Dictionary Definition

The Oxford English Dictionary defines a fraction as "a numerical quantity that is not a whole number (e.g. 1/2, 0.5)."

## The Curriculum

A brief description is given for each mini-curriculum. Click the MORE button to learn more.

## Fractions A fraction is a part of a whole number. It is written as two numbers written on top of each other, separated by a line.

In this mini-curriculum, you will learn the basics of fractions.

### Fraction

A fraction is a part of a whole number. Here is an example of a fraction: This is a quarter. It is written as 1 over 4. It represents 1 part in 4.

### Numerator

The numerator is the number written above the line of a fraction. The numerator of the fraction below is 1: ### Denominator

The denominator is the number written below the line of a fraction. The denominator of the fraction below is 4: ### Understanding Fractions

We can visualise a fraction as a cake. Imagine we wanted to find 14 of a cake.

The denominator of our fraction is 4. It tells us to divide the cake into 4 equal parts: The numerator of our fraction is 1. It tells us how many of these equal parts we have: ## Types of Fractions There are different types of fractions: proper, improper and mixed.

In this mini-curriculum, you will learn the types of fractions and how to convert between them.

### Proper Fractions

A proper fraction is a fraction where the numerator is less than the denominator.

Here is an example of a proper fraction. The numerator (1) is less than the denominator (4). ### Improper Fractions

An improper fraction is a fraction where the numerator is greater than (or equal to) the denominator.

Here is an example of an improper fraction. The numerator (3) is greater than the denominator (2). ### Mixed Fractions

A mixed fraction 'mixes' a whole number with a proper fraction.

Here is an example of a mixed fraction. The whole number is 3 and the proper fraction is 13. ### Convert Mixed to Improper Fractions

A mixed fraction can be converted to an improper fraction. ### Convert Improper to Mixed Fractions

An improper fraction can be converted to a mixed fraction. ## Equivalent Fractions and Simplifying Fractions Different fractions that represent the same value are called equivalent fractions. One of these fractions will be the simplest fraction.

In this mini-curriculum, you will learn about equivalent fractions and simplifying fractions.

### Equivalent Fractions and the Simplest Form

Equivalent fractions are fractions that show the same part of the whole, even though they look different. The simplest form of a fraction is the equivalent fraction with the smallest possible numbers. ### Simplifying a Fraction

Simplifying a fraction makes the fraction as simple as possible. A fraction is as simple as possible when the top and bottom numbers are as small as possible. ## Arithmetic with Fractions Just like numbers, fractions can be added, subtracted, multiplied and divided.

In this mini-curriculum, you will learn arithmetic with fractions. ### Subtracting Fractions

Fractions can be subtracted. ### Multiplying Fractions

Fractions can be multiplied. ### Dividing Fractions

Fractions can be divided. ### Reciprocal of a Fraction

To find the reciprocal of a fraction, turn the fraction upside down. ### Power of a Fraction

To find the power of a fraction, raise the numerator and denominator to the exponent. ## Using Fractions Fractions are useful. We might want to find out what half of an amount is, or express a number of objects as a fraction of the whole.

In this mini-curriculum, you will learn about using fractions.

### Find a Fraction of a Number

Find a fraction of a number by multiplying the fraction with the number. ### Express as a Fraction of a Number

A number can be expressed as a fraction of another number. ## Converting Fractions Fractions are just one way of expressing a part of a whole. Percentages and decimals are other ways.

In this mini-curriculum, you will learn how convert a fraction to a percentage and a decimal.

### Convert Fraction to a Percentage

A fraction can be converted to a percentage. ### Convert Fraction to a Decimal

A fraction can be converted to a decimal. 