1. Without a calculator, simplify the expressions:
8 5 = 1 4 k
9 10 −

2. 8-1 Multiplying and Dividing Rational Functions
Simplify rational expressions.
Simplify complex fractions.

3. A ratio of two polynomial expressions is called a rational expression
Variables in algebra represent numbers, so operations with rational numbers and rational expressions is similar.
Factor numerator and denominator
If there are common factors, reduce
If multiplying rational numbers, the numerator multiplies by the numerator, and the same with denominators.
If dividing, reciprocate 2nd or bottom fraction and change to multiplication.

4. Simplify the expression

5. Rational expressions would be undefined when values of variables in the denominator make the denominator equal to zero.

7. Simplify the expression

9. Simplify the expression

10. A complex fraction is a rational expression with a numerator and/or denominator that also contains a rational expression. (A fraction within a fraction). To simplify, rewrite it as a division problem.

11. Simplify the expression