Math Problem Solver

\[ \frac{-1}{4} - \frac{2}{3} = - \frac{11}{12} = -0.91\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-1}{4}\) and \(\frac{-2}{3}\) is \(12\). \[ \begin{aligned} \frac{-1}{4} - \frac{2}{3} &= \frac{-1 \cdot 3}{4 \cdot 3} + \frac{-2 \cdot 4}{3 \cdot 4} \\ &= \frac{-3 + -8}{12} \\ &= \frac{-11}{12} \end{aligned} \]