To simplify the expression \(\frac{3}{2}n \cdot 4p\), we multiply the numerical coefficients and the variables separately.
Multiply the coefficients: \(\frac{3}{2} \cdot 4 = \frac{3 \cdot 4}{2} = \frac{12}{2} = 6\).
Multiply the variables: \(n \cdot p = np\).
Combine the results: \(6np\).
Ответ: \(6np\)