What is a Fraction?
A fraction is a number, written in two parts, separated by a line. Fractions can be written or 3/4
The number above the line is called the numerator.
The denominator shows how many equal parts the object or item has been divided into.
Think of the fraction saying one part out of four parts.
Some word examples of Fractions
If both the numerator and denominator of a fraction are multiplied by the SAME number, the fraction stays the same.
This property allows us to SIMPLIFY fractions, also known as CANCELLING.
We normally give fractions in their SIMPLEST form.
The table below shows some equivalent fractions:
These fractions can also be put on a number line:
A mixed number is a number made up of a whole number and a fraction:
A mixed number can also be shown as an improper fraction.
This is because 3 whole ones are equal to 9 thirds (3 × 3) plus the two thirds equals eleven thirds.
Changing Mixed Numbers to Improper Fractions:
Changing Improper Fractions to Mixed Numbers:
Finding a Fraction of a Number
To find a fraction of a number, divide the number by the denominator (bottom number) of the fraction and then multiply the number by the numerator of the fraction (top number).
e.g. To find 3⁄4 of 80.
First find 1⁄4 of 80 by dividing by 4 = 80 ÷ 4 = 20
Now find 3⁄4 of 80 by multiplying by 3 = 20 × 3 = 60
So 3⁄4 of 80 is 60
Later you will need to be able to add, subtract, multiply and divide fractions. You can discover how to do this and see some examples in the extension Topic 47.