I think I see the issue here. We do not have proper division lines so I am reading 6/2(3) as (6/2)(3) while you are meaning as 6/(2(3)). I'm a computer scientist so 6/2(3) would return as 9 when written like that in code. That said, I think you mistranslated the original equation based off that same information. 6÷2(1+2) = (6÷2)(1+2), not 6÷(2(1+2)).