Math Problem Solver

\[ \frac{19}{8} - \frac{-17}{4} = \frac{53}{8} = 6.625 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{19}{8}\) and \(\frac{17}{4}\) is \(8\). \[ \begin{aligned} \frac{19}{8} - \frac{-17}{4} &= \frac{19 \cdot 1}{8 \cdot 1} + \frac{17 \cdot 2}{4 \cdot 2} \\ &= \frac{19 + 34}{8} \\ &= \frac{53}{8} \end{aligned} \]