Question

How do you simplify `(16x^2y)/(24xy^3) div (9xy)/(8x^2y^2)`?

Answer 1

Dividing by a fraction is multiplying by its opposite. Then rewrite and cancel.

Explanation:

`=(16x^2y)/(24xy^3)*(8x^2y^2)/(9xy)`

`=(2*8*x*x*y)/(3*8*x*y*y*y)*(8*x*x*y*y)/(3*3*x*y)`

Now we cancel:

`=(2*cancel8*cancelx*x*cancely)/(3*cancel8*cancelx*cancely*y*y)*(8*cancelx*x*cancely*y)/(3*3*cancelx*cancely)`

And after working this out we can cancel one more `y`:

`=(2*8*x*x*cancely)/(3*3*3*y*cancely)=(16x^2)/(27y)`