Math Problem Solver

\[ \frac{1}{6} - \frac{2}{3} = - \frac{1}{2} = -0.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{6}\) and \(\frac{-2}{3}\) is \(6\). \[ \begin{aligned} \frac{1}{6} - \frac{2}{3} &= \frac{1 \cdot 1}{6 \cdot 1} + \frac{-2 \cdot 2}{3 \cdot 2} \\ &= \frac{1 + -4}{6} \\ &= \frac{-3}{6} \\&= - \frac{1}{2} \end{aligned} \]