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4 years ago

7

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

1 answer:

Hitman42 [59]4 years ago

4 0

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

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4 years ago

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valentinak56 [21]

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4 years ago

Read 2 more answers

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Bas_tet [7]

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Step-by-step explanation:

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÷-2 -2

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Hope this helps ∞

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