Math Problem Solver

$$\frac{-11}{15} + \frac{21}{25} = \frac{8}{75} = 0.10\overline{6}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{-11}{15}$ and $\frac{21}{25}$ is $75$. $$\begin{aligned} \frac{-11}{15} + \frac{21}{25} &= \frac{-11 \cdot 5}{15 \cdot 5} + \frac{21 \cdot 3}{25 \cdot 3} \\ &= \frac{-55 + 63}{75} \\ &= \frac{8}{75} \end{aligned}$$