To multiply two fractions, you multiply the numerators together and the denominators together.
So, for \( \frac{3}{4} \times \frac{2}{5} \):
- Multiply the numerators: \( 3 \times 2 = 6 \)
- Multiply the denominators: \( 4 \times 5 = 20 \)
Now, put the result together:
\[ \frac{3}{4} \times \frac{2}{5} = \frac{6}{20} \]
Next, simplify \( \frac{6}{20} \) by finding the greatest common divisor (GCD) of 6 and 20, which is 2:
\[ \frac{6 \div 2}{20 \div 2} = \frac{3}{10} \]
Thus, the simplified answer is:
\[ \frac{3}{10} \]