Hello!
As there is only one negative sign, our answer will also only have one negative sign, and the answer will be negative. As you can see, A and B are both positive, so they are not the answer.
C reverses our original number, so it is not equivalent.
D just moves the negative sign, which will allow our fraction to stay the same. Therefore, our answer is [tex] \boxed {D) \frac{-4}{9}} [/tex].
I hope this helps!
