Fractions that have the same value

Equivalent fractions out of 100

In both of the shapes below of the shape is shaded.

You can see that if the shape is divided into 5 equal parts, then 2 of those parts are shaded.
If the shape is divided into 100 equal parts, then 40 parts are shaded.
These are equivalent fractions as in both cases the same amount has been shaded.

Tip!
If the denominator (the bottom number) of a fraction divides into 100 then the fraction can be written as an equivalent fraction out of 100.

For example:
To change the fraction to an equivalent fraction out of 100 see how many times 5 goes into 100.
      100 ÷ 5 = 20
      Multiple 2 by 20
      2 x 20 = 40
So is the same as

Using this method other fractions can be written as equivalent fractions out of 100. Here are some examples:
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Curriculum reference: N2/L1.3