Answer
$\frac{x(xy-x)}{y(xy-y)}$
Work Step by Step
Looking at the denominator of the fraction:
Convert the element $y$ into a fraction $y=\frac{y}{1}$ and find the LCD:
$\frac{y}{1}-\frac{y}{x}$
The LCD is $x$. Adjust the fractions accordingly:
$\frac{yx}{x}-\frac{y}{x}$
Combine the fractions since they have the same denominator:
$\frac{yx-y}{x}$
Looking at the numerator of the original fraction:
Convert $x$ into a fraction:
$\frac{x}{1}-\frac{x}{y}$
Find the LCD of the two fractions and adjust them accordingly:
$\frac{xy}{y}-\frac{x}{y}$
Combine the two fractions:
$\frac{xy-x}{y}$
Thus the original fraction becomes:
$\frac{\frac{xy-x}{y}}{\frac{yx-y}{x}}$
Divide the fractions:
$=\frac{xy-x}{y}\times\frac{x}{yx-y}$
$=\frac{x(xy-x)}{y(xy-y)}$
