## Elementary Algebra

$\frac{17x}{8}$
By inspection, we see that the LCM is $9$. Therefore, we create a common denominator to obtain: $\frac{5x}{3}+\frac{2x}{9}$ $=\frac{3(5x)+2x}{9}$ $=\frac{15x+2x}{8}$ $=\frac{17x}{8}$