Math Problem Solver

\[ \frac{1}{2} + 4 = \frac{9}{2} = 4.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{2}\) and \(\frac{4}{1}\) is \(2\). \[ \begin{aligned} \frac{1}{2} + 4 &= \frac{1 \cdot 1}{2 \cdot 1} + \frac{4 \cdot 2}{1 \cdot 2} \\ &= \frac{1 + 8}{2} \\ &= \frac{9}{2} \end{aligned} \]