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# Math

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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
+1

Apr 29, 2022
#2
+9459
0

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