AQA
AQA All About Maths
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Topic: Fractions, Decimals and Percentages (Higher - Unit 2)

Specification References: N2.4

N2.4 Recognise that recurring decimals are exact fractions and that some exact fractions are recurring decimals.


Candidates should be able to:

  • identify common recurring decimals
  • know how to write decimals using recurring decimal notation

Notes

Candidates should know a method for converting a fraction to a decimal.

Candidates should know that  =  and  =

 

At foundation tier candidates will not be required to change recurring decimals to fractions.

Example

  1. Write 0.3 and 0.6 as fractions.

view more examples

  1. Write the recurring decimal 0.629 429 429 using recurring decimal notation.

  2. Write as recurring decimals


  3. Which one of , and is a recurring decimal?
    Show clearly how you made your decision.

    1. Show that is equivalent to
    2. Use the answer to part a. to write the decimal  as a fraction.