To divide \(-\frac{10}{11}\) by \(-\frac{2}{5}\), you can multiply by the reciprocal of the second fraction.
\[ -\frac{10}{11} \div -\frac{2}{5} = -\frac{10}{11} \times -\frac{5}{2} \]
The negatives cancel out:
\[ = \frac{10 \times 5}{11 \times 2} = \frac{50}{22} \]
Now simplify \(\frac{50}{22}\):
\[ \frac{50 \div 2}{22 \div 2} = \frac{25}{11} \]
To convert \(\frac{25}{11}\) to a mixed number:
\[ 25 \div 11 = 2 \quad \text{remainder } 3 \]
So,
\[ \frac{25}{11} = 2 \frac{3}{11} \]
The final quotient is \(2 \frac{3}{11}\).
Thus, the correct response is:
2 3/11