Math Problem Solver

\[ \frac{3}{10} + \frac{2}{3} = \frac{29}{30} = 0.9\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{10}\) and \(\frac{2}{3}\) is \(30\). \[ \begin{aligned} \frac{3}{10} + \frac{2}{3} &= \frac{3 \cdot 3}{10 \cdot 3} + \frac{2 \cdot 10}{3 \cdot 10} \\ &= \frac{9 + 20}{30} \\ &= \frac{29}{30} \end{aligned} \]