Simplify Fraction with same term in Num and Dem, but.

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zKarp
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Homework Statement


I'm having a brain fart, how do you factor/simplify a fraction such as [itex]\frac{ab}{ab+cd}[/itex]
I keep thinking multiply by ab-bc but I'm not sure.
 
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zKarp said:

Homework Statement


I'm having a brain fart, how do you factor/simplify a fraction such as [itex]\frac{ab}{ab+bc}[/itex]
I keep thinking multiply by ab-bc but I'm not sure.

Uh, the terms in the denominator have common factor b. Why don't you factor it out?
 
Dick said:
Uh, the terms in the denominator have common factor b. Why don't you factor it out?

I'm sorry I miss typed it after using latex format. It's suppose to be DC not BC.
 
zKarp said:
I'm sorry I miss typed it after using latex format. It's suppose to be DC not BC.

Then I don't think there is any form that is terribly much simpler than what you written. You can change the form, like to 1/(1+(cd)/(ab)), but I don't think the alternate forms are much simpler.
 
Dick said:
Then I don't think there is any form that is terribly much simpler than what you written. You can change the form, like to 1/(1+(cd)/(ab)), but I don't think the alternate forms are much simpler.

Thank you! This actually does. I should of stated I'm doing transfer functions for circuit design and that's the type of form desired. Thank you!
 
zKarp said:
Thank you! This actually does. I should of stated I'm doing transfer functions for circuit design and that's the type of form desired. Thank you!

Ok, so I helped by accident. You're welcome!