I wrote a (very long) blog post about those viral math problems and am looking for feedback, especially from people who are not convinced that the problem is ambiguous.
It's about a 30min read so thank you in advance if you really take the time to read it, but I think it's worth it if you joined such discussions in the past, but I'm probably biased because I wrote it :)
I found a few typos. In the 2nd paragraph under the section "strong feelings", you use "than" when it should be "then". More importantly, when talking about distributive properties, you say x(x+z)=xy+xz. I believe you meant x(y+z)=xy+xz.
Otherwise, I enjoyed that read. I'm embarrassed to say that I did think pemdas meant multiplication came before division, however I'm proud to say that I've unconsciously known that it's important to avoid the ambiguity by putting parentheses everywhere for example when I make formulas in spreadsheets. Which by the way, spreadsheets generally allow multiplication by juxtaposition.
Actually it should be x(y+z)=(xy+xz), as that's exactly where a lot of people go wrong. They go from 6/2(1+2) to 6/2x3, instead of to 6/(2x3), and thus end up with the wrong answer (cos that flipped the 3 from being in the denominator to being in the numerator. i.e. instead of dividing by 3 they are now multiplying by 3, all because they removed brackets prematurely).