Answer
$= \frac{9y^{2}+8x^{2}}{x^{2}y^{2}}$
Work Step by Step
1) Multiply a fraction with the other denominator to obtain a common denominator between the two fractions. In this case, we multiply the first fraction by $y^{2}/y^{2}$ and the second fraction by $x^{2}/x^{2}$ to obtain a common denominator of $x^{2}y^{2}$
2) Add the fractions:
$= \frac{9}{x^{2}} + \frac{8}{y^{2}}$
$= \frac{9y^{2}}{x^{2}y^{2}} + \frac{8x^{2}}{x^{2}y^{2}}$
$= \frac{9y^{2}+8x^{2}}{x^{2}y^{2}}$
