Math Problem Solver

\[ \frac{2}{3} - \frac{3}{2} = - \frac{5}{6} = -0.8\overline{3} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{-3}{2}\) is \(6\). \[ \begin{aligned} \frac{2}{3} - \frac{3}{2} &= \frac{2 \cdot 2}{3 \cdot 2} + \frac{-3 \cdot 3}{2 \cdot 3} \\ &= \frac{4 + -9}{6} \\ &= \frac{-5}{6} \end{aligned} \]