Math Problem Solver

\[ \frac{1}{10} + \frac{2}{3} = \frac{23}{30} = 0.7\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{10}\) and \(\frac{2}{3}\) is \(30\). \[ \begin{aligned} \frac{1}{10} + \frac{2}{3} &= \frac{1 \cdot 3}{10 \cdot 3} + \frac{2 \cdot 10}{3 \cdot 10} \\ &= \frac{3 + 20}{30} \\ &= \frac{23}{30} \end{aligned} \]