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Express as a common fraction the reciprocal of \(0.\overline{81}\)

 May 15, 2022
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Express as a common fraction the reciprocal of \(0.\overline{81}\)

 

Hello Guest!

 

\(x=0.\overline{81}\\ 100x=81.\overline{81}\\ 99x=81\\ x=\dfrac{9}{11}\)

\(\color{blue}0.\overline{81}=\dfrac{9}{11}\)

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 May 15, 2022

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