It is clear that:
$(A/B)*C \neq A/(B*C)$
I have heard some people saying that the order of operations is:
In that case, $A/(B*C)$ is right, but I don't thing so...
Other people says tha Mult. and Div. are in the same level and you just do it in left-right order, in that case $(A/B)*C$ is the right one, but that "it depends of the order" doesn't convince me completely.
I have made an observation on this other situation
$D - E + F$
Here we don't think in solve it in two ways, it is clear because the $-$ sign is part of E, not an operation, so:
$D-E+F = D+(-E)+F$
That lead me to think that $/$ should be part of B too:
$A/B*C = A*(1/B)*C$
The fun part is that this observation match with the left-right aproach.
So my question is: What is the real justification to say solve it? I guess $A/(B*C)$ is wrong, but how to justify the opposite?