To divide -10/11 by 2/5, we can multiply the numerator by the reciprocal of the denominator.
Reciprocal of 2/5 = 5/2
(-10/11) ÷ (2/5) = (-10/11) * (5/2)
Multiplying the numerators gives (-10 * 5) = -50
Multiplying the denominators gives (11 * 2) = 22
Therefore, the division of -10/11 by 2/5 is -50/22.