Answer
$0.46464646 = \frac{46}{99}$
Work Step by Step
$0.4646464646$
$=\frac{46}{10^{2}}+\frac{46}{10^{4}}+\frac{46}{10^{6}}+...$
$=\Sigma^{\infty}_{n=1}46(\frac{1}{10^{2}})^{n}$
$a=\frac{46}{100}$ and $r=\frac{1}{100}$
$0.46464646464646 = \frac{a}{1-r}$
$=\frac{\frac{46}{100}}{1-\frac{1}{100}}$
$=\frac{46}{99}$