Ordering Fractions, Decimals & Percentages (AQA GCSE Maths): Revision Note

A calculator can be used to quickly convert any quantities into decimals.

E.g. A fraction can be entered as a division.

Without use of a calculator, write these numbers in order, starting with the smallest.

As they are all fractions, write them with a common denominator
The lowest common denominator is be 75
Rewrite each fraction with a denominator of 75

Compare and write in order from smallest to largest

Rewrite in their original form

Without use of a calculator, write these numbers in the spaces below.

..... < ..... < ..... < ..... 

As there is a mixture of fractions, decimals, and percentages, rewrite each as a decimal

0.8 is already a decimal

Convert 78% to a decimal by dividing by 100

Convert  to a decimal by either using short division, or halving three times

so 

Convert  to a decimal by using short division

so 

Write them all with 3 decimal places to determine the order

Rewrite the decimals in order

Rewrite in their original form, and recall that < means "less than", so the smallest value will be first

If a calculator was allowed for this question, it could be used to find  and more easily