What is \( $\frac{0.\overline{72}}{0.\overline{27}}$\)? Express your answer as a common fraction in lowest terms.
The answer is 7/2.
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 \(\dfrac83\).
