Math Problem Solver

\[ \frac{5}{8} - \frac{1}{2} - \frac{1}{8} + \frac{3}{4} = \frac{3}{4} = 0.75 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{8}\), \(\frac{-1}{2}\), \(\frac{-1}{8}\), and \(\frac{3}{4}\) is \(8\). \[ \begin{aligned} \frac{5}{8} - \frac{1}{2} - \frac{1}{8} + \frac{3}{4} &= \frac{5 \cdot 1}{8 \cdot 1} + \frac{-1 \cdot 4}{2 \cdot 4} + \frac{-1 \cdot 1}{8 \cdot 1} + \frac{3 \cdot 2}{4 \cdot 2} \\ &= \frac{5 + -4 + -1 + 6}{8} \\ &= \frac{6}{8} \\&= \frac{3}{4} \end{aligned} \]