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# Recurring decimals watch

1. 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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2. (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=...
3. 0.a recurring = a/9

0.0b recurring = b/90

etc

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