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7 Fractions

!is is a well-known puzzle. Key words

Make sure you learn and
understand these key words:
simplify
simplest form
highest common factor (HCF)
lowest common denominator
cancelling common factors
invert and multiply

It is called a tangram.
!ere are seven parts. !ey can be used to make

di"erent shapes.

Which parts have the same area?

Suppose the whole shape has area 1.
Find the area of each part. Write the answers
as fractions. Find the area of this shape.
1
1 1

You should #nd that each area is , or 16 . Can you explain your answer in
4 8

Check that the areas add up to 1. di"erent ways?
By addition? By subtraction?
Here is another way to divide a square.

What fraction of the square is green?

What fraction is red?

Try to explain your answers in di"erent ways.
1
Can you see why the red fraction is of the
green fraction? 4

In this unit you will continue work on simplifying fractions as well as adding, subtracting, multiplying
and dividing fractions using both written and mental methods.

64 7 F ractions
7 Fractions