You are misreading it. The ambiguity is only regarding division with a /and not with a ÷
Incorrect. Notice which symbol is used in this sentence.
However, in some of the academic literature, multiplication denoted by juxtaposition (also known as implied multiplication) is interpreted as having higher precedence than division, so that 1 ÷ 2x equals 1 ÷ (2x), not (1 ÷ 2)x.
And BTW, you yourself substituted the ÷ in the thread title for a /, so you don't seem to recognize a difference.
I'd inform you that this is coming from a math major, but I know how you loooooove appeal to authority...