Math Problem Solver

\[ 5\frac{1}{2} + 6\frac{1}{2} = 12 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{1}\), \(\frac{1}{2}\), \(\frac{6}{1}\), and \(\frac{1}{2}\) is \(2\). \[ \begin{aligned} 5\frac{1}{2} + 6\frac{1}{2} &= \frac{5 \cdot 2}{1 \cdot 2} + \frac{1 \cdot 1}{2 \cdot 1} + \frac{6 \cdot 2}{1 \cdot 2} + \frac{1 \cdot 1}{2 \cdot 1} \\ &= \frac{10 + 1 + 12 + 1}{2} \\ &= \frac{24}{2} \\&= 12 \end{aligned} \]