Answer
$\dfrac{3x}{2 + xy}$
Work Step by Step
Do the addition in the denominator first.
Find the least common denominator (LCD) of the two terms of the denominator:
$\dfrac{3}{\frac{2}{x} + \frac{xy}{x}}$
Perform the addition in the denominator:
$=\dfrac{3}{\frac{2 + xy}{x}}$
Rewrite this fraction as a division problem:
$=3 \div \dfrac{2 + xy}{x}$
To divide one fraction by another, multiply the first fraction by the reciprocal of the second fraction:
$=3 \times \dfrac{x}{2 + xy}$
Multiply to simplify:
$=\dfrac{3x}{2 + xy}$