Answer
$\dfrac{2x^2+3y}{x^2y+2xy^2}$
Work Step by Step
$\dfrac{\dfrac{x}{y}+\dfrac{3}{2x}}{\dfrac{x}{2}+y}$
$\dfrac{\dfrac{2x^2+3y}{2xy}}{\dfrac{x+2y}{2}}$
$\dfrac{2(2x^2+3y)}{2xy(x+2y)}$
$\dfrac{2x^2+3y}{xy(x+2y)}$
$\dfrac{2x^2+3y}{x^2y+2xy^2}$
