Find the product. \( 3 \frac{2}{3} \times \frac{2}{5}=[?] \) Give your answer as a mixed number in simplest form. Enter the whole number.

To find the product \( 3 \frac{2}{3} \times \frac{2}{5} \), first convert the mixed number to an improper fraction. \( 3 \frac{2}{3} \) can be rewritten as \( \frac{11}{3} \) (since \( 3 \times 3 + 2 = 11 \)). Now, multiply this by \( \frac{2}{5} \): \[ \frac{11}{3} \times \frac{2}{5} = \frac{22}{15} \] Now, convert \( \frac{22}{15} \) back to a mixed number. Divide 22 by 15, which equals 1 with a remainder of 7. So, \( \frac{22}{15} = 1 \frac{7}{15} \). Thus, the answer is: 1