Do Now 6/2/10Do Now 6/2/10Take out HW from last night.Take out HW from last night.

Text p. 797, #4-38 evensText p. 797, #4-38 evens

Copy HW in your planner.Copy HW in your planner.Text p. 806, #4-26 evensText p. 806, #4-26 evensQuiz Friday sections 12.4 & 12.5Quiz Friday sections 12.4 & 12.5

In your notebook, find the product and In your notebook, find the product and quotient of the following fractions.quotient of the following fractions.

5

3

3

2

3

2

4

1

HomeworkHomework Text p. 797, #4-36 evens Text p. 797, #4-36 evens

0;10

93

bb

2

3,1;

1

7

x

x

x

4,0,7;3

1 n

n

8;8x

12)12)

16)16)

28)28)

32)32)

8)8)

x5

436)36)

0y4)4)

2;2

1

v

v

4,2;4

1

j

j

20)20)

24)24)

2 cannot be divided out of the numerator and denominator in the final step.

3

4x6)6)

3x10)10)

0;2

7 x

yx14)14)

8;8

8

dd

d18)18)

4,4;4

1

g

g

22)22)

2

3,0;

32

2 3

yy

y26)26)

2

3,9;

32

5

tt

t30)30)

158

12 xx

34)34)

x

338)38)

ObjectiveObjectiveSWBAT multiply and divide rational SWBAT multiply and divide rational

expressions.expressions.

Section 12.5 Section 12.5 “Multiply and Divide Rational Expressions”“Multiply and Divide Rational Expressions”

Multiplying and dividing rational expressions Multiplying and dividing rational expressions is similar to multiplying and dividing fractions.is similar to multiplying and dividing fractions.

Be sure to simplify your answer. Look to Be sure to simplify your answer. Look to cancel like terms when multiplying or cancel like terms when multiplying or dividing. dividing.

bd

ac

d

c

b

a

bc

ad

c

d

b

a

d

c

b

a

Multiply by reciprocal,Multiply by reciprocal,then look to cancel terms.then look to cancel terms.

5

33

8

15

5

2

y

y

y

y

r

r

5

12

3

16 2

Multiply by reciprocalMultiply by reciprocal

Find the product or quotient.Find the product or quotient.

EXAMPLE 1EXAMPLE 1

6

6

40

30

y

y 12

5

3

16 2 rr

4

3 36

80 3r

9

20 3r

xx

xx

xx

xx

2

2

2

2 34

36244

33

Find the product.Find the product.

EXAMPLE 2EXAMPLE 2

Multiply numerator and denominator.Multiply numerator and denominator.

))(36244(

)34)(33(22

22

xxxx

xxxx

)1()3)(3(4

)1)(3)(1(3

xxxx

xxxx Factor and look for common Factor and look for common factors to cancel.factors to cancel.

)3(4

)1(3

x

x

10155

22

2

22

2

2

2

xx

xx

xx

xx

Find the product. Try it out.Find the product. Try it out.

EXAMPLE 2EXAMPLE 2

Multiply numerator and denominator.Multiply numerator and denominator.

)10155)(2(

)22)(2(22

22

xxxx

xxxx

)2)(1(5)2(

)1(2)2)(1(

xxxx

xxxx Factor and look for common Factor and look for common factors to cancel.factors to cancel.

)2(5

)1(2

x

x

87

1

32

7722

2

xx

x

xx

xx

Find the quotient. Try it out.Find the quotient. Try it out.

EXAMPLE 2EXAMPLE 2

Multiply numerator Multiply numerator and denominator.and denominator.

)1)(32(

)87)(77(2

22

xxx

xxxx

)1)(1)(3(

)1)(8)(1(7

xxx

xxxxFactor and look for common Factor and look for common factors to cancel.factors to cancel.

)3(

)8(7

x

xx

1

87

32

77 2

2

2

x

xx

xx

xx Multiply by reciprocalMultiply by reciprocal

)3(65

52

xxx

x

Find the product. Find the product.

EXAMPLE 3EXAMPLE 3

Multiply numerator and denominator.Multiply numerator and denominator.

1

3

65

52

x

xx

x

65

)3(52

xx

xx Factor and look for common Factor and look for common factors to cancel.factors to cancel.

)2)(3(

)3(5

xx

xx

2

5

xx

)6(3

241622

2

xx

xx

Find the quotient. Find the quotient.

EXAMPLE 3EXAMPLE 3

Multiply numerator and denominator.Multiply numerator and denominator.

6

1

3

241622

2

xx

xx

)6(3

)6)(2(22

xx

xx Factor and look for common Factor and look for common factors to cancel.factors to cancel.

23

)2(2

x

x

HomeworkHomework

Text p. 806, #4-26 evensText p. 806, #4-26 evens