Fraction Decomposition: A/a+B/b?

[priced02]

Just wondering - is there anything you can do with 1/(a + b) to get something like A/a + B/b?

 

[lalbatros]

character string manipulations

 

[JonF]

yes, but your B's and A's may be in terms of a and b or even 0. Making it kind of useless...

 

[tim_lou]

character string manipulations

lol... by the way, I don't think the original question is possible in general. of course, as JonF mentioned... you can have:

$$a\cdot\frac{\frac{1}{a+b}}{2a}+b\cdot\frac{\frac{1}{a+b}}{2b}$$

which is utterly useless.