Is it possible to factor the risk ratio from this equation? I have this weighted risk ratio equation here:
$$\frac{a(b/e+d/f)}{b(a/g+c/h)}$$
I am interested in factoring this out of the equation, i.e. the unweighted risk ratio:
$$\frac{a(b+d)}{b(a+c)}$$
Is this at all possible?
Thank you!

Of course the weighted version can't be equal to the unweighted version in general.
To reduce to the unweighted version, set the weight to be $e=f=g=h$.
