2. \(3\frac{2}{5}\cdot2-\frac{1}{5}\cdot4=\)

Преобразуем смешанное число:

\(3\frac{2}{5}=\frac{17}{5}\).

\(\frac{17}{5}\cdot2-\frac{1}{5}\cdot4=\frac{34}{5}-\frac{4}{5}=\frac{30}{5}=6\).

Ответ: \(6\).