Divide. Write your answer in lowest terms. Leave your answer as an improper fraction or whole number, if necessary. \( \frac{2}{15} \div \frac{22}{5} \)

To divide fractions, you multiply by the reciprocal of the second fraction. So, \[ \frac{2}{15} \div \frac{22}{5} = \frac{2}{15} \times \frac{5}{22}. \] Now, multiply the numerators and the denominators: \[ \frac{2 \times 5}{15 \times 22} = \frac{10}{330}. \] Next, we simplify \( \frac{10}{330} \). Both the numerator and the denominator can be divided by 10: \[ \frac{10 \div 10}{330 \div 10} = \frac{1}{33}. \] So, the final answer in lowest terms is \( \frac{1}{33} \).