Math Problem Solver

\[ \frac{2}{3} + \frac{4}{5} + \frac{2}{4} = \frac{59}{30} = 1.9\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\), \(\frac{4}{5}\), and \(\frac{2}{4}\) is \(60\). \[ \begin{aligned} \frac{2}{3} + \frac{4}{5} + \frac{2}{4} &= \frac{2 \cdot 20}{3 \cdot 20} + \frac{4 \cdot 12}{5 \cdot 12} + \frac{2 \cdot 15}{4 \cdot 15} \\ &= \frac{40 + 48 + 30}{60} \\ &= \frac{118}{60} \\&= \frac{59}{30} \end{aligned} \]