Objectives 

• Reducing to Lowest Terms

• Finding the Least Common Denominator

• Mixed Quotients

Examples

• Example 1

• Example 2

• Example 3

• Example 4

These expressions are called "mixed quotients," and can be simplified by treating the numerator and the denominator as separate problems.

Then we have a "division" problem.
 

For example,  to simplify  , 

we first complete the addition problem contained in the numerator of 
the entire fraction:

Now we have the division problem:

We invert and multiply:

As before, we should now factor in order to reduce:

Now cancel the common factor " ."

So our final answer in factored form, reduced to lowest terms is: 

Remember,  you do not need a common denominator when
multiplying (or dividing) fractions.