Answer
$\frac{5}{9}$
Work Step by Step
Following the example: $0.555...=5(0.1)+5(0.1)^2+...=\frac{a_1}{1-r}=\frac{5(0.1)}{1-0.1}=\frac{0.5}{0.9}=\frac{5}{9}$
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