To simplify an
algebraic fraction means to reduce it to lowest terms.
This is done
by
dividing out the common factors in the numerator
and the denominator.

Simplify:



First,
factor the numerator and factor
the denominator. 

Then
divide out the common binomial
factor (x + 2). 

Final Answer: 



Simplify:



Again,
factor the numerator and
factor the denominator. 

Divide
out the common binomial
factor of (y  2) 

Divide
out the common monomial
factor of 2y 

Final
Answer: 



Simplify:



Factor the numerator and
factor the denominator. 

Notice how factoring (1) will allow
for the division of the common binomial
factor of (x  2). 

Final Answer: 

or 


