To simplify the expression \(3f \cdot 2 \cdot \frac{1}{2}g\), we multiply the numerical coefficients and the variables separately.
Multiply the coefficients: \(3 \cdot 2 \cdot \frac{1}{2} = 6 \cdot \frac{1}{2} = \frac{6}{2} = 3\).
Multiply the variables: \(f \cdot g = fg\).
Combine the results: \(3fg\).
Ответ: \(3fg\)