You have a point, that is how it is always... now I think it has been erroneously so... obviously that seems very unlikely now doesn't it?
I need to speak with someone with a PhD in mathematics... I am calling my friend.
Quoting: Anonymous Coward 31557420 The best fighter pilots in the world make mistakes. The smartest people in the world make errors. Don't let one PhD convince you his answer is the "right" one. There are several Doctorates still debating this very thing. Trust me.
Again, don't think of it how you should enter it into a calculator. That said, even wolfram knows 2n/2n = 1 and 6/2n = 3/n, but then it doesn't know how to properly substitute 2+1 for n. That is because you can't teach logic to computers. Once they are programmed, they will parse a certain way.
That said, I see you are now second guessing yourself. That, my friend, takes balls. You have the biggest balls here, for 2 reasons:
1 - admitting you could be wrong
2 - researching more to educate yourself
The rest of these guys that refuse to read any further than their own nose, could learn something from you.