Dividing Rational Expressions
Example 1
Find:
Solution 

Step 1 Invert the second
fraction and change
the division symbol,
Ã·, to the multiplication
symbol, Â·. 

Step 2 Factor the numerators
and denominators.


Step 3 Cancel all pairs of
factors common to the
numerators and
denominators. 

Step 4 Multiply the
numerators. Multiply
the denominators. 

Thus,
Example 2
Find:
Solution 

Step 1 Invert the second fraction
and change the division
symbol, Ã·, to the
multiplication symbol, Â·. 

Step 2 Factor the numerators and
denominators.


Step 3 Cancel all pairs of factors
common to the numerators
and denominators.


Step 4 Multiply the numerators.
Multiply the denominators. 

Thus,
Notice that
is in lowest terms.
