(a) \( 2 \frac{2}{3} \times 1 \frac{1}{5} \)

To multiply mixed numbers, you first convert them to improper fractions. For \( 2 \frac{2}{3} \), multiply 2 by 3 and add 2 to get \( \frac{8}{3} \). For \( 1 \frac{1}{5} \), multiply 1 by 5 and add 1 to get \( \frac{6}{5} \). Now multiply the fractions: \[ \frac{8}{3} \times \frac{6}{5} = \frac{8 \times 6}{3 \times 5} = \frac{48}{15} \] Now simplify \( \frac{48}{15} \) by dividing both the numerator and denominator by 3 to get \( \frac{16}{5} \) or \( 3 \frac{1}{5} \) in mixed number form. So, the final answer is \( 3 \frac{1}{5} \).