Math Problem Solver

$$\frac{-9}{11} - \frac{2}{5} = - \frac{67}{55} = -1.2\overline{18}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{-9}{11}$ and $\frac{-2}{5}$ is $55$. $$\begin{aligned} \frac{-9}{11} - \frac{2}{5} &= \frac{-9 \cdot 5}{11 \cdot 5} + \frac{-2 \cdot 11}{5 \cdot 11} \\ &= \frac{-45 + -22}{55} \\ &= \frac{-67}{55} \end{aligned}$$