Post on 03-Jan-2016
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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