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mya2currydma6rian
mya2currydma6rian mya2currydma6rian
  • 02-08-2016
  • Mathematics
Answered

what is 0.16, 6 repeating as a fraction?

Verified Answer :

dalendrk
dalendrk dalendrk
  • 09-08-2016

\(x=0.1666...\ \ \ \ |multiply\ both\ sides\ by\ 10\\\\10x=1.666...\ \ \ |multiply\ both\ sides\ by\ 10\\\\100x=16.666....\\\\100x-10x=16.666...-1.666...\\\\90x=15\ \ \ \ |divide\ both\ sides\ by\ 90\\\\x=\dfrac{15}{90}\\\\x=\dfrac{1}{6}\\\\\\Answer:\boxed{0.1666...=\frac{1}{6}}\)

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