a+d/b+c = a/b + d/c
Does that make sense??
No, first of all use brackets to make the meaning clear, in general:
$\displaystyle (a+d)/(b+c) \not= (a/b) + (d/c)$
Try some examples, put $\displaystyle a=b=c=d=1$, then the left hand side is $\displaystyle 2/2=1$ and the right hand side is $\displaystyle (1/1)+(1/1)=2$.
RonL