Transcript Slide 1
Do Now 12/3/09
Take out HW from last night.
Punchline worksheets #57 & #58
Copy HW in your planner.
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
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
25 5
3
1
35
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
26
=
=
3
18
3 6
4
28
47
=
=
9
63
97
Simplify the Following Fractions
3
48 16 3
=
=
5
80 16 5
7
28
74
=
=
8
32
84
Which Three Fractions Are
Equivalent???
72 8 24 36
, , ,
81 9 27 42
2 15 75 3
, ,
,
3 25 125 5
Simplify Variable Expressions
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
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
22 x x
4x
2 3 x
6x
2
2x
3
2
3 x x
3x
x
33 w
9w
3w
2 2
227 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
Text page 185, #12-36 evens; #42-46 evens