Answer
$= \frac{x^{2}}{2} - xy^{2}+ \frac{5y}{2x}$
Work Step by Step
$\frac{x^{4}y^{2}-2x^{3}y^{4}+5xy^{3}}{2x^{2}y^{2}}$
$= \frac{xy^{2}(x^{3}-2x^{2}y^{2}+5y)}{xy^{2}(2x)}$
$= \frac{x^{3}-2x^{2}y^{2}+5y}{2x}$
$= \frac{x^{3}}{2x} - \frac{2x^{2}y^{2}}{2x} + \frac{5y}{2x}$
$= \frac{x^{2}}{2} - \frac{2xy^{2}}{2} + \frac{5y}{2x}$
$= \frac{x^{2}}{2} - \frac{xy^{2}}{1} + \frac{5y}{2x}$
$= \frac{x^{2}}{2} - xy^{2}+ \frac{5y}{2x}$
