Find the product. \( \frac{2}{5}\left(-3 \frac{1}{3}\right) \) \( \frac{2}{5}\left(-3 \frac{1}{3}\right)=\square \) (Type an integer or a simplified fraction.)

1. Convert the mixed number to an improper fraction: \[ -3\frac{1}{3} = -\frac{3 \times 3 + 1}{3} = -\frac{10}{3} \] 2. Multiply the fractions: \[ \frac{2}{5} \times \left(-\frac{10}{3}\right) = -\frac{2 \times 10}{5 \times 3} = -\frac{20}{15} \] 3. Simplify the fraction by dividing the numerator and denominator by 5: \[ -\frac{20 \div 5}{15 \div 5} = -\frac{4}{3} \] Thus, the product is: \[ \frac{2}{5}\left(-3 \frac{1}{3}\right) = -\frac{4}{3} \]