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Adding and Subtracting Rational Expressions

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... Subtracting Rational Expressions. Review ... Simplify where possible. Find the Least Common Multiple. 4x2 36 ... methods to simplify: 1. Multiply ... – PowerPoint PPT presentation

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Title: Adding and Subtracting Rational Expressions


1
Chapter 9
  • Section 5
  • Adding and Subtracting Rational Expressions

2
Review Problems
  • Find the least common multiple of the two
    numbers.
  • 7, 21 24, 10 11,17

3
Add or Subtract
4
Add or Subtract
5
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.

6
Find the Least Common Multiple
  • 4x2 36 and 6x2 36x 54

7
Find the Least Common Multiple
  • 3x2 9x 30 and 6x 30

8
Find the Least Common Multiple
  • 5x2 15x 10 and 2x2 8

9
Steps to Add/Subtract
  • Factor the denominators
  • Identify the LCD for multiplication
  • Multiply as needed
  • Add/subtract
  • Simplify

10
Simplify
11
Simplify
12
Simplify
13
Simplify
14
Simplify
15
Homework
  • Re-teaching 9.5 All

16
Day Two
17
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

18
Method 1 Multiplying by LCD
  • Find the LCD of the ENTIRE fraction
  • Multiply everything by this LCD (notice that the
    small fractions disappear)
  • Simplify

19
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20
2. Dividing
  • Simplify the numerator and denominator
  • Divide the numerator by the denominator

21
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22
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23
Homework
  • Practice 9.5
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