Do Now 12/12/11Do Now 12/12/11

Copy HW in your planner.Copy HW in your planner. Text page 132, #8-38 evensText page 132, #8-38 evens Quiz sections 3.5-3.8 WednesdayQuiz sections 3.5-3.8 Wednesday Chapter 3 Test FridayChapter 3 Test Friday

Be ready to copy POTW #3Be ready to copy POTW #3 and make and make sure your sure your NAMENAME is on the top of the is on the top of the page. page.

ObjectiveObjective SWBAT solve equations using SWBAT solve equations using

fractionsfractions

Fraction ReviewFraction Review

Adding Fractions with Common Adding Fractions with Common DenominatorsDenominators

To To ADD/SUBTRACTADD/SUBTRACT fractions with common fractions with common denominators, add/subtract their denominators, add/subtract their

numerators.numerators.

Simplify if necessary.Simplify if necessary.

7

3

7

2

7

5

7

3

7

2

6

1

6

5

3

2

6

4

Remember this…

Fractions with Different DenominatorsFractions with Different Denominators

To To ADDADD or or SUBTRACTSUBTRACT fractions with fractions with different denominators follow these steps:different denominators follow these steps:

1. 1. Rewrite the fractions using a common Rewrite the fractions using a common denominatordenominator. .

2. 2. Add or subtract the numeratorsAdd or subtract the numerators. .

7

1

5

2 35

?

5

2

55: 5, 10, 15, 20, 25, 30, : 5, 10, 15, 20, 25, 30, 3535, 40, 4077: 7, 14, 21, 28, : 7, 14, 21, 28, 3535, 42, 42

35

?

7

1

What is the common denominator?

35

19

35

5

35

14

35

14

7

7

5

2

35

5

5

5

7

1

Equivalent fractions

Remember this…

5

13

4

32

5

16

4

11

51

)4(11

54

)16(11

MultiplyMultiply

Rewrite as improper fractions and assign Rewrite as improper fractions and assign negative to numerator.negative to numerator.

Divide (cancel) common factorsDivide (cancel) common factors

MultiplyMultiply11

44

5

44

5

48

SimplifySimplify

Mixed Number times Mixed Number times Mixed NumberMixed NumberRemember th

is…

RECIPROCALRECIPROCAL – –

two nonzero numbers whose two nonzero numbers whose product is 1. product is 1.

3

21

6

6

2

3

7

41

28

28

4

7

RECIPROCAL = MULTIPLICATIVE RECIPROCAL = MULTIPLICATIVE

INVERSEINVERSE

Remember this…

22

4

10

7

20

77

45

)11(7

410

)22(7

DivideDivide

Divide (cancel) common factorsDivide (cancel) common factors

MultiplyMultiply55

-11-11

20

173

4

22

10

7 Assign negative sign to the numeratorAssign negative sign to the numerator

Remember this…

Equation-Equation-mathematical sentence mathematical sentence with an equal signwith an equal sign

Like a scale, both sidesmust be balanced

Section 3-8 “Solving Section 3-8 “Solving Equations Containing Equations Containing

Fractions”Fractions”

Like a scale, the left Like a scale, the left side and right side must side and right side must be the same in order to be the same in order to be be balanced!balanced!

+ 2 = 5+ 2 = 5 7 77 7

Left side Right side

xx

‘‘x’ has to be 3/7 in x’ has to be 3/7 in order to make the order to make the equation balanced.equation balanced.

Solving Addition Equations…Solving Addition Equations…

m + 7 = 14m + 7 = 14

77 7 7 1818

m = m =

18 2718 27

1818 – – – – 21 21

5454 == – –

28 28 5454

7 7 5454

==Find common denominator

Solving Subtraction Solving Subtraction Equations…Equations…

m – 3 = -11m – 3 = -11

33 3 3 88

m = m =

8 248 24

88 ++ ++ 9 9

2424 == ++

-11 -11 2424

-2 -2 2424

==Find common denominator

m = m =

-1 -1 1212

Remember your integer rules… -11 + 9 = -2

Solving Multiplication Solving Multiplication Equations…Equations…

2 = 42 = 43322

m = m =

3 53 5 ∙ ∙ 3 3 22

6 6 55

m = m =

1 1 55

Multiply by the reciprocal or multiplicative inverse.

mm ∙ ∙11

22

11

Solving Multiplication Solving Multiplication Equations…Equations…

3y = 63y = 61133

y = y =

77 ∙ ∙ 1 1 33

2 2 77

Multiply by the reciprocal or multiplicative inverse.

∙ ∙11

22

11

PracticePractice

x – 38

= 78

x –38

+ 38

= 78

+38

x =10 8

=114

49

+ r =-1 2

49

+ r– 49

= -1 2

– 49

r = -918

– 818

r =–1718

PracticePractice

38

x =.83

14

. 83

2

1

=x 23

38

=14

x = 89

x =.14

89

.141

2

x = 29

4x =

4

Homework Homework

Text page 132, #8-38 evensText page 132, #8-38 evens

NJASK7 Prep NJASK7 Prep