> Edit: also, I would rather write (x + y)/2 if I wanted half the sum, that seems much more logical to me than moving non-integer factors around.
Based on what I recall, there's a bit of an aversion towards writing / or ÷ for division (or explicitly written multiplication). And $\frac{1}{2}(x+y)$ is more readable in inline text than $\frac{x+y}{2}$.
I agree, though I wish you had specified in what context that aversion was.
To give a specific example, I can cite units in the metric system, often written as kg.s⁻².J⁻¹ instead of the more ambiguous kg/s²/J; which could technically be read as kg/(s²/J), giving kg.J.s⁻¹.