can someone check my answer please?

solve using multiplication principle.
-4x>1/11

The way I solved it was dividing both sides by -1/4 to isolate x then I simplified left side which is -1/44 simplifying it to -1/11 is this correct or did I miss a step somewhere?

You multiplied by -1/4, I presume:

-4x>1/11
-4x (- 1/4) > 1/11 (- 1/4)
x > -1/44.

That's what I get, too!