I need help on this equation, pre algebra dividing fractions! 15 points and will get brainliest answer if correct!

-8/9÷1/6
To divide by a fraction, multiply by its reciprocal.
- 8/9*6
Cancel common factor of 3
- 1×8/3=2/1
-8/3=2/1
Simplify to get
- 16/3