example of repeating decimal whose period is 14

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13-08-2016
Mathematics

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example of repeating decimal whose period is 14

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dalendrk dalendrk · Answer 1 · 2016-08-17T00:18:01+02:00

dalendrk dalendrk

17-08-2016

[tex]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}}[/tex]

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