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What is \( $\frac{0.\overline{72}}{0.\overline{27}}$\)? Express your answer as a common fraction in lowest terms.

 Apr 29, 2022
 #1
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The answer is 7/2.

 Apr 29, 2022
 #2
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You can change both of the recurring decimals to fractions.

 

In fact,

\(0.\overline{72} = \dfrac{8}{11}\) and \(0.\overline{27} = \dfrac{3}{11}\)

 

Therefore the answer is \(\dfrac83\).

 Apr 29, 2022

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