How do you divide and multiply and algebra and fractions

So divide factions ex: 6/2 divide 3/2 will bring down the first faction 6/2 then the always flip the second faction 2/3 to make it 2/3 the you have 6/2 divide 2/3, now you multiple 6/2 times 2/3 so how many times does 3 go in6 so the 3 will be 1 and the 6 will be 2 now 2 and 2 both will come 1 because 2 goes in both of them 1 time and the answer is 2/1