Math Problem Solver

\[ \frac{3}{5} - \frac{2}{15} = \frac{7}{15} = 0.4\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{5}\) and \(\frac{-2}{15}\) is \(15\). \[ \begin{aligned} \frac{3}{5} - \frac{2}{15} &= \frac{3 \cdot 3}{5 \cdot 3} + \frac{-2 \cdot 1}{15 \cdot 1} \\ &= \frac{9 + -2}{15} \\ &= \frac{7}{15} \end{aligned} \]