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 \(\dfrac83\).