Math Problem Solver

\[ 1\frac{2}{5} + 2\frac{1}{3} = \frac{56}{15} = 3.7\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{1}\), \(\frac{2}{5}\), \(\frac{2}{1}\), and \(\frac{1}{3}\) is \(15\). \[ \begin{aligned} 1\frac{2}{5} + 2\frac{1}{3} &= \frac{1 \cdot 15}{1 \cdot 15} + \frac{2 \cdot 3}{5 \cdot 3} + \frac{2 \cdot 15}{1 \cdot 15} + \frac{1 \cdot 5}{3 \cdot 5} \\ &= \frac{15 + 6 + 30 + 5}{15} \\ &= \frac{56}{15} \end{aligned} \]