Transcript Slide 1

Do Now 12/3/09

Take out HW from last night.
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
Punchline worksheets #57 & #58
Copy HW in your planner.
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Text page 185, #12-36 evens; #42-46 evens
Homework
“Why Aren’t Dragons Hungry on Weekends?”
THEY FEAST ON WEAK KNIGHTS
“Why Did the Candle Fall in Love?”
HE MET THE PERFECT MATCH
Objective
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SWBAT write fractions in simplest form
and write equivalent fractions.
What Do You See?
Section 4.3 “EQUIVALENT FRACTIONS”
1
5
2
10
3
15
4
20
6
30
10
50
1
5
2
10
3
15
The first of these fractions 1/5 is in
SIMPLEST FORM because the numerator
and denominator have no common factors.
2
1


25 5
3
1


35
5
To SIMPLIFY fractions divide the
numerator and denominator by
common factors.
EQUIVALENT FRACTIONStwo fractions are equivalent if
they represent the same
quantity.
1
4
=
2
8
2
5
=
10
25
A fraction is in SIMPLEST FORM if its
numerator and denominator have a greatest
common factor of 1.
EQUIVALENT FRACTIONSmultiplying the numerator and
denominator of a fraction by the
same nonzero number
1
4
x
x
2
2
=
2
8
1
4
x
x
3
3 1
=
3 12 4
x
x
5
5
=
5 20
Simplifying Fractions
When simplifying fractions, look for the greatest
common factor in the numerator and denominator.
Then divide.
2
12
26
=
=
3
18
3 6
4
28
47
=
=
9
63
97
Simplify the Following Fractions
3
48 16  3
=
=
5
80 16  5
7
28
74
=
=
8
32
84
Which Three Fractions Are
Equivalent???
72 8 24 36
, , ,
81 9 27 42
2 15 75 3
, ,
,
3 25 125 5
Simplify Variable Expressions
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To simplify a variable expression, you can
factor the numerator and denominator and
then divide out any common factors.
4 3 x
3
12 x


2
3
4 x x x
x
4x
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A variable expression is in SIMPLEST FORM
if the numerator and denominator have no
factors in common other than 1.
Simplify the following fractions
10xy 2  5  x  y
2x

2
15 y 3  5  y  y
3y
22 x x
4x

2 3 x
6x
2
2x

3
2
3 x  x
3x
x


33 w
9w
3w
2 2
227 p  p q q
28 p q
2


3 3
42 p q
2 3 7  p  p  p  q  q  q
3 pq
2
24
Homework
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Text page 185, #12-36 evens; #42-46 evens