Warm-Up (Fractions) - PowerPoint PPT Presentation

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Warm-Up (Fractions)

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Lesson 9.2 Adding & Subtracting Fractions Finding the LCM [1] Factor the polynomials [2] Use each factor the greatest it appears as a factor Example 1 LCM of Monomials – PowerPoint PPT presentation

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Title: Warm-Up (Fractions)


1
Lesson 9.2 Adding Subtracting Fractions
Finding the LCM
1 Factor the polynomials
2 Use each factor the greatest it appears as a
factor
Example 1 LCM of Monomials a) 12x2y5, 24x3y2z5,
and 48x3z
48x3y5z5
b) 30ab3, 5a2b2, 20ac
60a2b3c
2
Example 2 LCM of Polynomials a) p3 5p2 6p
and p2 6p 9
(p 3)(p 3) (p 3)2
p(p 2)(p 3)
p(p 2)(p 3)2
LCM
b) x2 2x and x2 4
x(x 2)
(x 2)(x 2)
x(x 2)(x 2)
LCM
3
Adding Rational Expressions (Fractions)
1 Factor denominators
2 Determine the LCD (LCM of denominators)
3 Multiply Numerators to balance LCD
(x)
(4)
x2 8
4
(3x2)
(2)
(15y)
(2x)
4 3x3
14x2 15y2
6x2y
30xy2
5
Examples 4 Polynomial Denominators
2x 10
(x 5)
3x 10

a)
(x 5)(x 4)
(x 5)(x 4)
2x 10
(x 5)
x 10

(x 5)2
(x 5)(x 5)
(x 5)2
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