1. Fractional Expressions
Honors Precalculus
September 28-30, 2016
Mrs. Agnew

2. Essential Questions Essential Vocabulary
What are rational expressions and how do you simplify them?
How do you solve rational equations?
Essential Vocabulary
Rational Expression
Rational Equation
Compound Fraction
Domain
Common Denominator

3. Rational Expressions
Rational expressions are fractions that have polynomials in the numerator and denominator
What is the domain?
When identifying domain, find what makes denominator equal to 0.

4. Rational Expressions
Simplify rational expressions by factoring and canceling like factors.
When multiplying rational expressions, you can cross cancel like factors.
How do you divide fractions?
Examples

5. Compound Fractions Fractions within fractions.
Multiply all “little fractions” by common denominator of “little fractions.”
Examples (include negative exponents)

6. Homework:
Stewart 4th ed.
Page 42-43
# 6-16

7. Rational Expressions How do you add or subtract fractions?
Same process for adding and subtracting rational expressions
Examples… be sure to identify the domain of the common denominator.

8. Homework:
Page A41 #17, 18, 25 – 33

9. Equations with Fractions
How do we solve an equation with fractions?
Multiply by common denominator.
Same is true even if we have expressions in denominator.
Solving Rationals vs. Adding/Subtracting Rationals
Examples – Stewart (including work problems)

10. Homework:
Page A54 #42, 45, 46,
Page A71 #32 – 34