To find the product of \(-\frac{4}{7} \times -\frac{11}{2}\), we can multiply the numerators together and the denominators together:
\[ \frac{-4 \times -11}{7 \times 2} = \frac{44}{14} \]
Now, simplify \(\frac{44}{14}\) by finding the greatest common divisor (GCD) of 44 and 14, which is 2:
\[ \frac{44 \div 2}{14 \div 2} = \frac{22}{7} \]
So, the final answer is:
\(\frac{22}{7}\)
Therefore, the correct response would be:
227 (since it's equivalent to 22/7).