Math Problem Solver

\[ \frac{1}{3} - \frac{1}{2} = - \frac{1}{6} = -0.1\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{3}\) and \(\frac{-1}{2}\) is \(6\). \[ \begin{aligned} \frac{1}{3} - \frac{1}{2} &= \frac{1 \cdot 2}{3 \cdot 2} + \frac{-1 \cdot 3}{2 \cdot 3} \\ &= \frac{2 + -3}{6} \\ &= \frac{-1}{6} \end{aligned} \]