pickausername pickausername

13-08-2016
Mathematics

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example of repeating decimal whose period is 14

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dalendrk dalendrk

16-08-2016

\(x=0.141414...\ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=14.141414...\\\\100x-x=14.141414...-0.141414...\\\\99x=14\ \ \ \ |divide\ both\ sides\ by\ 99\\\\\boxed{x=\frac{14}{99}}\)

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