Answer
$5.\overline{71358}=\frac{190451}{33333}$
Work Step by Step
The number can be rewritten as follows:
$5.\overline{71358}= 5+ \sum_{n=1}^\infty 0.71358 (10^{-5})^{n-1}$
The series above is a geometric series. Then:
$5.\overline{71358}=5+\frac{0.71358}{1-10^{-5}}=5 + \frac{23786}{33333}=\frac{190451}{33333}$
