SOLUTION: I was wondering if someone could please explain the steps to this problem simplify the complex fraction 1/x+2 - 1/x ___________ __ 2/x + 1 thank you for your help

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: I was wondering if someone could please explain the steps to this problem simplify the complex fraction 1/x+2 - 1/x ___________ __ 2/x + 1 thank you for your help      Log On


   

Question 372053: I was wondering if someone could please explain the steps to this problem
simplify the complex fraction
1/x+2 - 1/x
______________
2/x + 1

thank you for your help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply numerator and denominator by %28x%29,
%281%2F%28x%2B2%29++-++1%2Fx%29%2F%282%2Fx+%2B+1%29=%28x%2F%28x%2B2%29-1%29%2F%282%2Bx%29
Multiply numerator and denominator by %28x%2B2%29,
%281%2F%28x%2B2%29++-++1%2Fx%29%2F%282%2Fx+%2B+1%29=%28x-%28x%2B2%29%29%2F%28x%2B2%29%5E2
.
.
%281%2F%28x%2B2%29++-++1%2Fx%29%2F%282%2Fx+%2B+1%29=%28x-x-2%29%2F%28x%2B2%29%5E2
.
.