#### 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, $S_{\infty}=\dfrac{0.73}{1-0.01}=\dfrac{73}{99}$

Published by
Pearson

ISBN 10:
0-13417-894-7

ISBN 13:
978-0-13417-894-3

$\dfrac{73}{99}$

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