Aim: How do we solve complex fraction?

Aim: How do we solve complex fraction?

Complex Fraction: An expression in which the denominator or numerator, or they both contain fractions. 

To solve complex fraction, you should always solve the numerator and denominator expressions one at a time to make the complex fraction into one single fraction expression.  

Example: 
(1/x)-1
x-(1/x)

1)Simplify the numerator expression.
1-x
  x    

2) Simplify the denominator expression.
x^2-1
   x         

3) You have the single fraction

1-x             x^2-1
   x       ÷     x 

4) Do keep change flip.

1-x           x        
  x   *    x^2-1

5) Factor 1-x and x^2-1.
-1(x-1)   *        x        
    x            (x+1)(x-1)


6)Simplify

-1(x-1)   *        x   1         
    x           (x+1)(x-1)  1

7) Answer
     -1     

 (x+1)     



Source:
http://www.www-mathtutor.com/simplifying-complex-fractions-1.html