Find the additive inverse of:

$\dfrac{-11}{-9}$

To find the additive inverse of any rational number, change its sign.

First express the rational number with a positive denominator.

$\dfrac{-11}{-9} = \dfrac{-11 \times (-1)}{-9 \times (-1)} = \dfrac{11}{9}$

Changing the sign of $\dfrac{11}{9}$, we get $\dfrac{-11}{9}$.

[Check : $\dfrac{11}{9} + \dfrac{-11}{9} = \dfrac{0}{9} = 0$]

Hence, the additive inverse of $\mathbf{\dfrac{-11}{-9} \text{ is } \dfrac{-11}{9}}$.