Math Problem Solver

$$\frac{1}{6} + \frac{4}{5} = \frac{29}{30} = 0.9\overline{6}$$

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of $\frac{1}{6}$ and $\frac{4}{5}$ is $30$. $$\begin{aligned} \frac{1}{6} + \frac{4}{5} &= \frac{1 \cdot 5}{6 \cdot 5} + \frac{4 \cdot 6}{5 \cdot 6} \\ &= \frac{5 + 24}{30} \\ &= \frac{29}{30} \end{aligned}$$