Math Problem Solver

\[ \frac{2}{5} + \frac{5}{6} = \frac{37}{30} = 1.2\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{5}\) and \(\frac{5}{6}\) is \(30\). \[ \begin{aligned} \frac{2}{5} + \frac{5}{6} &= \frac{2 \cdot 6}{5 \cdot 6} + \frac{5 \cdot 5}{6 \cdot 5} \\ &= \frac{12 + 25}{30} \\ &= \frac{37}{30} \end{aligned} \]