But that's just how WolframAlpha does it. The article is about the ambiguity in the mnemonic we're taught in school. I thought the correct answer was going to be '1'.
http://www.wolframalpha.com/input/?i=6%C3%B72%281%2B2%29
Of course, this is because it's evaluated left to right and the implied multiplication doesn't get put "under" the division.