Answer
$\dfrac{73}{99}$
Work Step by Step
Write the decimal $0.\overline{73}$ as $0.73+0.0073+0.000073+...$
Thus, we have $S_{\infty}=\dfrac{a_1}{1-r}$
Here, $a_1=0.73,r=0.01$
Thus, $S_{\infty}=\dfrac{0.73}{1-0.01}=\dfrac{73}{99}$
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