To simplify the expression \(4 \cdot \frac{3}{5}y \cdot 2z\), we multiply the numerical coefficients and the variables separately.
Multiply the coefficients: \(4 \cdot \frac{3}{5} \cdot 2 = 8 \cdot \frac{3}{5} = \frac{24}{5}\).
Multiply the variables: \(y \cdot z = yz\).
Combine the results: \(\frac{24}{5}yz\).
Ответ: \(\frac{24}{5}yz\)