Do Now 12/3/09Do Now 12/3/09

Take out HW from last night.Take out HW from last night. Punchline worksheets #57 & #58Punchline worksheets #57 & #58

Copy HW in your planner.Copy HW in your planner. Text page 185, #12-36 evens; #42-46 evensText page 185, #12-36 evens; #42-46 evens

HomeworkHomework

““Why Aren’t Dragons Hungry on Weekends?”Why Aren’t Dragons Hungry on Weekends?”

THEY FEAST ON WEAK KNIGHTSTHEY FEAST ON WEAK KNIGHTS

““Why Did the Candle Fall in Love?”Why Did the Candle Fall in Love?”

HE MET THE PERFECT MATCHHE MET THE PERFECT MATCH

ObjectiveObjective

SWBAT write fractions in simplest form SWBAT write fractions in simplest form and write equivalent fractions.and write equivalent fractions.

What Do You See?What Do You See?

10

215

3

30

6

50

10

5

1

20

4

Section 4.3 “EQUIVALENT FRACTIONS”Section 4.3 “EQUIVALENT FRACTIONS”

10

2

5

1

The first of these fractions 1/5 is in The first of these fractions 1/5 is in SIMPLEST FORM because the numerator SIMPLEST FORM because the numerator and denominator have no common factors.and denominator have no common factors.

15

3

52

2

5

1

53

3

5

1

To SIMPLIFY fractions divide the numerator and denominator by common factors.

EQUIVALENT FRACTIONS-EQUIVALENT FRACTIONS-two fractions are equivalent if two fractions are equivalent if they represent the same they represent the same quantity.quantity.

4

1

8

2= 5

2

25

10=

A fraction is in SIMPLEST FORM if its numerator and denominator have a greatest common factor of 1.

EQUIVALENT FRACTIONS-EQUIVALENT FRACTIONS-multiplying the numerator and multiplying the numerator and denominator of a fraction by the denominator of a fraction by the same nonzero numbersame nonzero number

4

1

2

2xx

xx 8

2==

4

1

3

3xx

xx 12

3==

4

1

5

5xx

xx 20

5==

Simplifying Fractions Simplifying Fractions

18

12

63

62

=3

2

When simplifying fractions, look for the greatest common factor in the numerator and denominator. Then divide.

=

63

28

79

74

=9

4=

Simplify the Following Fractions Simplify the Following Fractions

80

48

516

316

=5

3=

32

28

48

47

=8

7=

Which Three Fractions Are Which Three Fractions Are Equivalent???Equivalent???

42

36,

27

24,9

8,

81

72

5

3,

125

75,

25

15,3

2

Simplify Variable ExpressionsSimplify Variable Expressions

To simplify a variable expression, you can To simplify a variable expression, you can factor the numerator and denominator and factor the numerator and denominator and then divide out any common factors. then divide out any common factors.

A variable expression is in A variable expression is in SIMPLEST SIMPLEST FORMFORM if the numerator and denominator if the numerator and denominator have no factors in common other than 1. have no factors in common other than 1.

34

12

x

xxxx

x

4

342

3

x

yy

yx

53

52y

x

3

2

215

10

y

xy

Simplify the following fractionsSimplify the following fractions

x

xx

32

223

2x

x

x

6

4 2

qqqppp

qqpp

732

722

pq3

233

22

42

28

qp

qp

w

xx

33

3

w

x

3

2

w

x

9

3 2

HomeworkHomework Text page 185, #12-36 evens; #42-46 evensText page 185, #12-36 evens; #42-46 evens

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