SOLUTION: I have a complex fraction: This fraction is the numerator: x/x+1 The denominator is: 1/x(exponent 2)-1 MINUS 1/x-1 Im pretty sure you have to find the LCD, but I don't kno

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I have a complex fraction: This fraction is the numerator: x/x+1 The denominator is: 1/x(exponent 2)-1 MINUS 1/x-1 Im pretty sure you have to find the LCD, but I don't kno      Log On


   



Question 174249: I have a complex fraction:

This fraction is the numerator: x/x+1
The denominator is: 1/x(exponent 2)-1 MINUS 1/x-1
Im pretty sure you have to find the LCD, but I don't know where to go from here.
Thank you for any help.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
This fraction is the numerator: x/x+1
The denominator is: 1/x(exponent 2)-1 MINUS 1/x-1
---------------------------
[x/(x+1)] / [1/(x^2-1) - 1/(x-1)]
= [x/(x+1)] / [1 -(x+1)] / (x^2-1)]
= [x/(x+1)] / [-x / (x^2-1)]
Invert the denominator and multiply :
= [x/(x+1)] / [(x^2-1) /-x ]
Cancel where you can to get:
= [1/1] / [(x-1)/(-1)]
= (x-1)/(-1)
= 1-x
=============
Cheers,
Stan H.