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10-08-2014
Mathematics

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Write each repeating decimal as a fraction in simplest form:
1. 0.21 repeating

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10-08-2014

0.21212121212121212121...=7/33.

How did I find this out?

n=0.212121212121...

100n=21.212121212121...

100n-n=99n=21

Therefore n=21/99=7/33

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