Yet another way to prove this is to distribute the 2 into the 9 and 3. Hence, 48/(18+6) if you remove the factor of 2. This resolves to 48/24. Or 2.
There is no "2" to distribute. There is only a "/2", which is a "1/2" to distribute.
There is no factor of "2". There is a divisor of "2" that appears in the equation, which is a factor in the equation of "1/2".