Math Problem Solver

\[ 4\frac{1}{2} - \frac{7}{8} = \frac{29}{8} = 3.625 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{4}{1}\), \(\frac{1}{2}\), and \(\frac{-7}{8}\) is \(8\). \[ \begin{aligned} 4\frac{1}{2} - \frac{7}{8} &= \frac{4 \cdot 8}{1 \cdot 8} + \frac{1 \cdot 4}{2 \cdot 4} + \frac{-7 \cdot 1}{8 \cdot 1} \\ &= \frac{32 + 4 + -7}{8} \\ &= \frac{29}{8} \end{aligned} \]