Grade seven, Edexcel GCSE Maths

Revision Notes

What are recurring decimals?

A rational number is any number that can be written as an integer (whole number) divided by another integer.  When you write a rational number as a decimal you either get a decimal that stops (eg ¼ = 0.25) or one that recurs (eg ⅓ = 0.333333…).

The recurring part can be written with a dot (or dots) over it instead as in the example below.

What do we do with recurring decimals?

Normally, you will be asked to write a recurring decimal as a fraction in its lowest terms.

To do this:

Write out a few decimal places… …and then:

  1. Write as f = …
  2. Multiply by 10 repeatedly until two lines have the same decimal part
  3. Subtract those two lines
  4. DIVIDE to get f = … (and cancel if necessary to get fraction in lowest terms)


Recurring Decimals Example, IGCSE & GCSE Maths revision notes


Edexcel GCSE Maths Notes

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