Math Problem Solver

\[ \frac{5}{6} - \frac{8}{12} = \frac{1}{6} = 0.1\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{6}\) and \(\frac{-8}{12}\) is \(12\). \[ \begin{aligned} \frac{5}{6} - \frac{8}{12} &= \frac{5 \cdot 2}{6 \cdot 2} + \frac{-8 \cdot 1}{12 \cdot 1} \\ &= \frac{10 + -8}{12} \\ &= \frac{2}{12} \\&= \frac{1}{6} \end{aligned} \]