To multiply the fractions \( \frac{2}{11} \) and \( \frac{3}{4} \), you multiply the numerators together and the denominators together:
\[ \frac{2 \times 3}{11 \times 4} = \frac{6}{44} \]
Now, simplify \( \frac{6}{44} \):
Both the numerator and the denominator can be divided by 2:
\[ \frac{6 \div 2}{44 \div 2} = \frac{3}{22} \]
So, \( \frac{2}{11} \times \frac{3}{4} = \frac{3}{22} \).