Math Problem Solver

\[ \frac{-11}{2} - \frac{-4}{5} = - \frac{47}{10} = -4.7 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{-11}{2}\) and \(\frac{4}{5}\) is \(10\). \[ \begin{aligned} \frac{-11}{2} - \frac{-4}{5} &= \frac{-11 \cdot 5}{2 \cdot 5} + \frac{4 \cdot 2}{5 \cdot 2} \\ &= \frac{-55 + 8}{10} \\ &= \frac{-47}{10} \end{aligned} \]