## Elementary Algebra

$= \frac{4y^{2}-5x}{xy^{2}}$
1) In order to find a common denominator, multiply the first fraction by $y^{2}/y^{2}$ and the second fraction by $x/x$ to obtain a common denominator of $xy^{2}$ 2) Subtract $= \frac{4}{x} - \frac{5}{y^{2}}$ $= \frac{4(y^{2})}{xy^{2}} - \frac{5(x)}{xy^{2}}$ $= \frac{4y^{2}}{xy^{2}} - \frac{5x}{xy^{2}}$ $= \frac{4y^{2}-5x}{xy^{2}}$