SOLUTION: Simplifying complex fractions 3/x-2 + 5/x+3 How do you do this?

Algebra ->  Rational-functions -> SOLUTION: Simplifying complex fractions 3/x-2 + 5/x+3 How do you do this?      Log On


   



Question 130108: Simplifying complex fractions
3/x-2 + 5/x+3
How do you do this?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Simplifying complex fractions
3/x-2 + 5/x+3
-----------------
You need a common denominator to add fractions.
The least common denominator is (x-2)(x+3)
-------------------
Rewrite each fraction with that denominator:
3(x+3)/lcd + 5(x-2)/lcd
Add the numerators and write over the lcd:
(8x-1)/lcd
= (8x-1)/[(x-2)(x+3)]
========================
Cheers,
Stan H.