Quote (Panic_Fails_at_Diablo @ May 4 2011 11:47pm)
They give different answers because they are different equations. The equation in the title can only be read as (6/2)*(1+2). If you were to interpret it as 6/(2*(1+2)) the answer would be 1, but that's not how you interpret it. The ÷ doesn't mean to turn it into a fraction. As I said above, you read a fraction like this:
(x+y)
------
(a+b)
This is why you solve the denominator and numerator separately before dividing. This is written separately, and therefore there's only one answer(9).
I didn't change it at all, I was inserting parentheses in the proper place to try to explain it better. That's not the actual equation, but that is how you solve for it.
You're wrong, you added a parentheses that wasn't there to begin with, therefore you are the one interpreting it wrong.