Math Problem Solver

\[ \frac{-2}{3} - \frac{5}{4} = - \frac{23}{12} = -1.91\overline{6} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-2}{3}\) and \(\frac{-5}{4}\) is \(12\). \[ \begin{aligned} \frac{-2}{3} - \frac{5}{4} &= \frac{-2 \cdot 4}{3 \cdot 4} + \frac{-5 \cdot 3}{4 \cdot 3} \\ &= \frac{-8 + -15}{12} \\ &= \frac{-23}{12} \end{aligned} \]