1. The problem asks to find $3 \frac{2}{5}$ of 35. 2. First, convert the mixed number $3 \frac{2}{5}$ to an improper fraction. $$3 \frac{2}{5} = \frac{3 \times 5 + 2}{5} = \frac{15 + 2}{5} = \frac{17}{5}$$ 3. To find $\frac{17}{5}$ of 35, multiply $\frac{17}{5}$ by 35. $$\frac{17}{5} \times 35$$ 4. Simplify the multiplication by canceling common factors. $$\frac{17}{\cancel{5}} \times \cancel{35} = 17 \times 7 = 119$$ 5. Therefore, $3 \frac{2}{5}$ of 35 is 119.