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Chapter 9

- Section 5
- Adding and Subtracting Rational Expressions

Review Problems

- Find the least common multiple of the two

numbers. - 7, 21 24, 10 11,17

Add or Subtract

Add or Subtract

How to find the LCM/LCD(Least Common

Multiple/Denominator)

- Factor the denominator into its prime factors (as

small as each will go). - Write each prime factor the greatest number of

times it appears in either expression. - Simplify where possible.

Find the Least Common Multiple

- 4x2 36 and 6x2 36x 54

Find the Least Common Multiple

- 3x2 9x 30 and 6x 30

Find the Least Common Multiple

- 5x2 15x 10 and 2x2 8

Steps to Add/Subtract

- Factor the denominators
- Identify the LCD for multiplication
- Multiply as needed
- Add/subtract
- Simplify

Simplify

Simplify

Simplify

Simplify

Simplify

Homework

- Re-teaching 9.5 All

Day Two

Complex Fractions

- A fraction that has a fraction in its numerator

or denominator or both - Ex
- Two methods to simplify
- 1. Multiply everything by the LCD
- 2. Divide the numerator by the denominator

Method 1 Multiplying by LCD

- Find the LCD of the ENTIRE fraction
- Multiply everything by this LCD (notice that the

small fractions disappear) - Simplify

(No Transcript)

2. Dividing

- Simplify the numerator and denominator
- Divide the numerator by the denominator

(No Transcript)

(No Transcript)

Homework

- Practice 9.5

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