1. Complex Fractions and Review of Order of Operations
Section 4.6
Complex Fractions
and Review of
Order of Operations

2. Complex Fractions
A fraction whose numerator or denominator or both contain fractions.

3. Methods We will learn two methods to solve the one problems.
First : multiply numerator and denominator by the LCD of ALL terms.
Second : combine fractions in the numerator, combine fractions in the denominator, then change division line to division symbol.

4. Method 1 Steps Find the LCD of all fractions
Multiply the numerator by the LCD, simplify.
Multiply the denominator by the LCD, simplify.
Simplify the fraction

5. Example
Simplify

6. Example
Simplify

7. Method 2 Steps Combine Fractions in the numerator.
Combine fractions in the denominator.
Change division line to division symbol.
Convert division problem into a multiplication problem.
Simplify

8. Example
Simplify

9. Example
Simplify

10. Order of Operation P E M D A S

11. Example
Use order of operations to simplify the expression.

12. Example
Use order of operations to simplify the expression.

13. Example
Use order of operations to simplify the expression.

14. Example
Use order of operations to simplify the expression.