radomes.openskiesproject.org
lizzy205 lizzy205
  • 22-08-2016
  • Mathematics
Answered

I don't understand can you help me solve it?

I don t understand can you help me solve it? class=

Verified Answer :

dalendrk
dalendrk dalendrk
  • 28-08-2016

\(0.\overline{282}=0.282282282...\\\\x=0.282282282...\ \ \ \ \ \ |multiply\ both\ sides\ by\ 1000\\\\1000x=282.282282282...\\\\1000x-x=282.282282282...-0.282282282...\\\\999x=282\ \ \ \ \ |divide\ both\ sides\ by\ 999\\\\x=\dfrac{282}{999}\\\\x=\dfrac{282:3}{999:3}\\\\x=\dfrac{94}{333}\\\\Answer:\boxed{0.\overline{282}=\frac{94}{333}}\)

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