Math Problem Solver

\[ 3 \cdot \frac{1}{2} + 2 = \frac{7}{2} = 3.5 \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{2}\) and \(\frac{2}{1}\) is \(2\). \[ \begin{aligned} 3 \cdot \frac{1}{2} + 2 &= \frac{3 \cdot 1}{2 \cdot 1} + \frac{2 \cdot 2}{1 \cdot 2} \\ &= \frac{3 + 4}{2} \\ &= \frac{7}{2} \end{aligned} \]