no problem with your explanation... but I will say that it is an adding fractions analog to the subtraction example in this thread.
Just an example.
1) to add or subtract, find the common denominator cross multiply
2) to multiply, top times top and bottom times bottom
3) to divide, invert (swap out top/bottom of one fraction) then multiple
4) remember a whole number is really a fraction, the number divided by 1 ergo 1/2/3 is really 1/2 divided by 3/1
If I wanted to express 1 divided by 2/3 then I would write 1/(2/3)