I think that’s why people are complaining about the division sign.

It’s been decades since I took a math class so I am definitely not the right person to explain things, but I am using technology to confirm my understanding of the various notations:

Image

So yeah, if you put 6 over a denominator of 2(1+2), the answer is different (1) because the equation is different. But if you write it out literally, it would be 6 over 2 times (1+2).

What you wrote swapped the denominator to make it 2(1+2)÷6, which will always be 1.