Module: 0Part 4: Rational Expressions

Obj: Simplify rational expressions, complex fractions

Evi: Students will solve rational expressions

Rational Expressions

• The set of real numbers for which an algebraic expression is defined is the domain of the expression.

• This is a rational expression the domain is all real numbers expect x=3. If x=3, the bottom is zero and then Channing Tatum dies… we don’t want that.

Simplifying a Rational Expression

• Step 1: Factor Completely• Step 2: Divide out common factors• Step 3: State answer and restrictions

Another Example

Multiplying Rational ExpressionsStep 1: Factor both of them

Step 2: Cancel out common factors

Step 3: Figure out domain

Dividing Rational Expressions

• Same as multiplying but you have to switch so that it becomes a multiply by the reciprocal

Adding and Subtracting

• Step 1: Get common denominator• Step 2: Simplify

Another Example

Complex Fractions

• •

Step 1: Separate fractions

Step 2: Find Common Denominator

Step 3: Simplify

Step 4: Multiple by reciprocal

Step 5: Simplify