Yes, the fraction \(- \frac{-4}{9}\) is equivalent to \(-\frac{4}{9}\). The double negative cancels out, resulting in a positive value. Therefore, \(- \frac{-4}{9} = \frac{4}{9}\), but the original expression as stated is equal to \(-\frac{4}{9}\) when you only have one negative sign in front, which retains its negative value.
If you meant to ask whether \(-\frac{-4}{9}\) simplifies to \(-\frac{4}{9}\), that is not correct; it simplifies to \(\frac{4}{9}\).
If you are confirming the equivalence of \(-\frac{4}{9}\), then yes, the expression does indeed equal \(-\frac{4}{9}\) without any cancellation.