Posted by Peter on 23rd May 2011

# Percentages and Fractions

The relationship between percentages and fractions is one that many children fail to grasp, yet it is essentially quite easy. What is harder, is understanding equivalence and that fractions of the same size can be written in different ways.

100% means 100 out of 100. It can written as a fraction 100/100 and is equivalent to one whole one.

50% means 50 out of 100. it can be written as a fraction 50/100. This can be simplified to 5/10 or 1/2.

20% means 20 out of 100. It can be written as a fraction 20/100. This can be simplified to 2/10 or 1/5.

This exercise looks at multiples of 10% and how they can be shown as fractions. All the fractions can be simplified, at least to tenths. By colouring the shapes it should be clear that, for example colouring 3 out of 10 is the same as colouring 3 tenths which is the same as 30 hundredths, or 30 out of 100 or 30%.

This page can be found in our Year 5 Counting and Number category.

Percentage and fractions