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    Hey, can anybody please explain how to convert 5.2 (only the 2 is recurring) as a fraction.

    Also is it possible to prove that the recurring decimal 0.27 (only the 7 is recurring) is equal to 5/18 as a fraction?

    I don't know if it is a mistake in the book or me, so could anybody please help?

    Thanks


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    (Original post by Pilot96)
    Hey, can anybody please explain how to convert 5.2 (only the 2 is recurring) as a fraction.

    Also is it possible to prove that the recurring decimal 0.27 (only the 7 is recurring) is equal to 5/18 as a fraction?

    I don't know if it is a mistake in the book or me, so could anybody please help?

    Thanks


    This was posted from The Student Room's iPhone/iPad App
    Let x=5.22.. then 10x=52.22.. and so 10x-x = ...

    Can you continue from here?


    For the second one, let y=0.27.. then 100y=27.77.. and 10y=2.7... so 100y-10y=...
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    0.a recurring = a/9

    0.0b recurring = b/90

    etc
 
 
 
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