9.2 Adding and Subtracting Rational Expressions - PowerPoint PPT Presentation

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9.2 Adding and Subtracting Rational Expressions

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9.2 Adding and Subtracting Rational Expressions Least Common Denominator of a polynomial Adding fractions What do you need to add or subtract fractions? – PowerPoint PPT presentation

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Title: 9.2 Adding and Subtracting Rational Expressions


1
9.2 Adding and Subtracting Rational Expressions
  • Least Common Denominator
  • of a polynomial

2
Adding fractions
  • What do you need to add or subtract fractions?
  • A common denominator
  • Of 5 and 3, it is 5 times 3 15
  • (Since both are prime numbers)
  • We multiply.
  • Since both numbers divide into
  • 15, it is the Least Common Multiply

3
What is the L.C.M.
  • Given the terms
  • To find the LCM of the numbers, find there factor
    multiplication.

4
What is the L.C.M.
  • The LCM is the highest number of each factor
    listed from each number.

5
What is the L.C.M.
  • The LCM is the highest number of each variable
    listed from each term.

6
Find the LCM of two polynomial
  • Factor out the polynomial

7
Find the LCM of two polynomial
  • Factor out the polynomial

8
Find the LCM of two polynomial
  • Factor out the polynomial

9
Add the Rational Expressions
  • Simplify
  • What is the LCM of 6 and 14

10
Add the Rational Expressions
  • Simplify
  • Common denominator 42a2b2
  • What does 6b times 42a2b2
  • What does 14a2b2 times 42a2b2

11
Add the Rational Expressions
  • Simplify
  • Common denominator 42a2b2
  • What does 6b times 42a2b2
  • What does 14a2b2 times 42a2b2

12
Add the Rational Expressions
  • Simplify

13
Add the Rational Expressions
  • Simplify

14
Add the Rational Expressions
  • Simplify

15
Add the Rational Expressions
  • Simplify

16
What are the differences between Adding and
Multiplying fractions
  • Simplify

17
What are the differences between Adding and
Multiplying fractions
  • Simplify

18
What are the differences between Adding and
Multiplying fractions
  • Simplify

19
What are the differences between Adding and
Multiplying fractions
  • Simplify

20
What are the differences between Adding and
Multiplying fractions
  • Simplify

21
What are the differences between Adding and
Multiplying fractions
  • Simplify

22
The complex fraction
  • Simplify

23
The complex fraction
  • Simplify

24
The complex fraction
  • Simplify

25
The complex fraction
  • Simplify

26
The complex fraction
  • Simplify

27
The complex fraction
  • Simplify

28
Homework
  • Page 482 483
  • 15, 19, 25, 29,
  • 33, 37, 41

29
Homework
  • Page 482 483
  • 16, 20, 24, 26,
  • 28, 30, 34, 36
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