Math Problem Solver

\[ 2\frac{2}{5} + \frac{2}{3} = \frac{46}{15} = 3.0\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{1}\), \(\frac{2}{5}\), and \(\frac{2}{3}\) is \(15\). \[ \begin{aligned} 2\frac{2}{5} + \frac{2}{3} &= \frac{2 \cdot 15}{1 \cdot 15} + \frac{2 \cdot 3}{5 \cdot 3} + \frac{2 \cdot 5}{3 \cdot 5} \\ &= \frac{30 + 6 + 10}{15} \\ &= \frac{46}{15} \end{aligned} \]