## Elementary Algebra

$= \frac{1}{15}$
We first create a common denominator, and then we add the numerators together to obtain: $\frac{2}{3} + \frac{-3}{5}$ $= \frac{2(5)}{15} + \frac{-3(3)}{15}$ $= \frac{10}{15} + \frac{-9}{15}$ $= \frac{10}{15} - \frac{9}{15}$ $= \frac{1}{15}$