4 divided by 2/3 = 4/1 / 2/3
multiple the top and bottom by 3 to clear the '3' on the denominator
4*3 / 2
divide the top and bottom by 2 to clear the '2' in the denominator
4*3/2 = 12/2
This can be reduced to 1/6
Main concept here is that if you can do anything to the top and bottom of a fraction if that action is the same operation and number. This method helps you solve just about anything.