Math Problem Solver

\[ \frac{2}{5} - \frac{4}{3} = - \frac{14}{15} = -0.9\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{5}\) and \(\frac{-4}{3}\) is \(15\). \[ \begin{aligned} \frac{2}{5} - \frac{4}{3} &= \frac{2 \cdot 3}{5 \cdot 3} + \frac{-4 \cdot 5}{3 \cdot 5} \\ &= \frac{6 + -20}{15} \\ &= \frac{-14}{15} \end{aligned} \]