Math Problem Solver

\[ \frac{4}{5} - \frac{2}{3} = \frac{2}{15} = 0.1\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{5}\) and \(\frac{-2}{3}\) is \(15\). \[ \begin{aligned} \frac{4}{5} - \frac{2}{3} &= \frac{4 \cdot 3}{5 \cdot 3} + \frac{-2 \cdot 5}{3 \cdot 5} \\ &= \frac{12 + -10}{15} \\ &= \frac{2}{15} \end{aligned} \]