Home learning focus
Learn how to use multiplication and division (the abstract method) to find equivalent fractions.
- two videos
- two worksheets
A fraction can be written in different ways and still mean the same thing. These are called equivalent fractions.
Look at the shaded areas in these rectangles.
So 3/5 = 6/10
You can produce lots of equivalent fractions by multiplying or dividing the top and bottom by the same number.
When writing equivalent fractions, whatever you do to the numerator, you do to the denominator. For example, if you multiply the top by 2, you must also multiply the bottom by 2.
Equivalent fractions can best be visualised by using a bar model. If you take two identical bars and split one in half and the other into sixths you will see that one half is exactly the same as three sixths, i.e. ¹/₂ = ³/₆.
This works because when 1 is the numerator and 2 is the denominator of a fraction, and both are multiplied by 3, you get 3 and 6 (or three-sixths).
There's more to learn
Have a look at these other resources around the BBC and the web.