To divide fractions, you can multiply the first fraction by the reciprocal of the second fraction.
So, to divide \( \frac{4}{3} \) by \( \frac{5}{2} \), you can rewrite it as:
\[ \frac{4}{3} \div \frac{5}{2} = \frac{4}{3} \times \frac{2}{5} \]
Now, multiply the numerators and the denominators:
\[ = \frac{4 \times 2}{3 \times 5} = \frac{8}{15} \]
Thus, \( \frac{4}{3} \div \frac{5}{2} = \frac{8}{15} \).