Answer
$\frac{y}{(x-2)}$
Work Step by Step
We first factor the denominator of the fraction:
$\frac{xy}{x^{2}-2x}$
$\frac{xy}{x(x-2)}$
Cancelling $x$ as it is common to both numerator and denominator, we obtain:
$\frac{xy}{x(x-2)}=\frac{y}{(x-2)}$