You state that the ambiguity comes from the implicit multiplication and not the use of the obelus.

I.e. That 6 ÷ 2 x 3 is not ambiguous

What is your source for your statement that there is an accepted convention for the priority of the iinline obelus or solidus symbol?

As far as I’m aware, every style guide states that a fraction bar (preferably) or parentheses should be used to resolve the ambiguity when there are additional operators to the right of a solidus, and that an obelus should never be used.

Which therefore would make it the division expressed with an obelus that creates the ambiguity, and not the implicit multiplication.

(Rest of the post is great)

The fuck? I'm getting 15.

Great read! Easy for everyone to understand, but also thorough. I loved the breakdown into the calculators functionality

Hey this is interesting, thanks for sharing!

The real question here is BODMAS or PEMDAS?

isn't that division sign I only saw Americans use written like this (÷) means it's a fraction? so it's 6÷2, since the divisor (or what is it called in english, the bottom half of the fraction) isn't in parenthesis, so it would be foolish to put the whole 2(1+2) down there, there's no reason for that.

so it's (6/2)*(1+2) which is 3*3 = 9.

the other way around would be 6÷(2(1+2)) if the whole expression is in the divisor and than that's 1.

tho I'm not really proficient in math, I have eventually failed it in university, but if I remember my teachers correctly, this should be the way. but again, where I live, we never use the ÷ sign, only in elementary school where we divide on paper. instead we use the fraction form, and with that, these kind of seemingly ambiguous expressions doesn't exist.

Interesting that Excel sees =6/2(1+2) as an invalid formula and will not calculate it (at least on mobile). =6/2*(1+2) returns 9 because it's executing the division and multiplication left to right (6/2=3*3=9).

Google Sheets (mobile) does't like it either and returns an error. =6/2*(1+2) also returns "9".