Math Problem Solver

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

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