To divide fractions, you multiply by the reciprocal of the divisor.
So, to solve \( \frac{3}{4} \div \frac{2}{5} \), you can rewrite it as:
\[ \frac{3}{4} \times \frac{5}{2} \]
Now, multiply the numerators and the denominators:
\[ \frac{3 \times 5}{4 \times 2} = \frac{15}{8} \]
Thus, \( \frac{3}{4} \div \frac{2}{5} = \frac{15}{8} \).
If you want to express it as a mixed number, \( \frac{15}{8} \) can be written as:
\[ 1 \frac{7}{8} \]
So the final answer is \( \frac{15}{8} \) or \( 1 \frac{7}{8} \).