Answer
$\dfrac{2y}{x(y - 1)}$
Work Step by Step
Do the subtraction in the denominator first.
Find the least common denominator (LCD) of the two terms of the denominator:
$\dfrac{\frac{2}{x}}{\frac{y}{y} - \frac{1}{y}}$
Perform the subtraction in the denominator:
$\dfrac{\frac{2}{x}}{\frac{y - 1}{y}}$
Rewrite this fraction as a division problem:
$\dfrac{2}{x} \div \dfrac{y - 1}{y}$
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction:
$\dfrac{2}{x} \cdot \dfrac{y}{y - 1}$
Multiply the numerators together, and multiply the denominators together:
$\dfrac{2y}{x(y - 1)}$