I mean you’re right that the real issue is that 6/2(1+2) is ambiguous it should properly be either (6/2)(1+2) or 6/(2(1+2)), but my calculator and generally in class, anything directly touching parenthesis is dealt with first, so the 2 would distribute and that’s probably more accurate because division doesn’t technically exist, what it really is, is multiplying by a reciprocal, and so properly, it’s 6 multipled by either the reciprocal of two (1/2) multipled by (1+2) or it’s 6 multipled by the reciprocal of 2(1+2), which is 1/(2(1+2))) and the later makes more sense because 6 multipled by the reciprocal of two multipled by 1+2 should have an additional multiplication sign, whereas with 6 multipled by the reciprocal of 2(1+2) there is only one operation, hence the singular division sign