Introduction to Fractions (Cambridge (CIE) IGCSE Maths)
Revision Note
Written by: Naomi C
Reviewed by: Dan Finlay
Introduction to Fractions
What is a fraction?
A fraction is part of a whole
A fraction is written as where a and b are integers
The number on the top, a, is called the numerator
The number on the bottom, b, is called the denominator
The values of the numerator and denominator tell us about the size of the fraction
The denominator is how many parts the whole is split into
The numerator is how many parts you have
For example, means that the whole is divided into 3 parts and you have 2 of these parts
How do I shade a fraction on a diagram?
Divide by the denominator and multiply by the numerator
To shade of a grid of 20 squares
Divide 20 squares by 5 to get 4 squares
Multiply this amount by 3 to get 12 squares
Shade 12 squares
To shade of a circle
Divide the circle into four quarters by drawing a horizontal and a vertical line through the centre
Shade one of these quarters
Worked Example
Shade of the grid below.
Count the total number of squares in the grid
Total of 21 squares
Divide 21 by 7
21 ÷ 7 = 3
Multiply by 5
3 × 5 = 15
Shade 15 squares
It doesn't matter which 15 you shade, but it's neater to group them together
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