Решение:
\[ 2\frac{2}{5} = \frac{2 \times 5 + 2}{5} = \frac{10 + 2}{5} = \frac{12}{5} \]
\[ \frac{12}{5} \times 3 = \frac{12}{5} \times \frac{3}{1} = \frac{12 \times 3}{5 \times 1} = \frac{36}{5} \]
\[ \frac{36}{5} = 36 \div 5 = 7 \text{ (остаток } 1) = 7\frac{1}{5} \]
Ответ: 7⅕