Transcript Document

To compare fractions you
can use the “Butterfly”
method or cross
multiplication.
“Butterfly” method
Use >, <, or =.
9
<
3
5
<
10
2
3
“Butterfly” method
12
3
10
Use >, <, or =.
>
>
10
1
4
To order fractions you
use the Least Common
Denominator (LCD).
Order the fractions from
least to greatest.
1
2
3
5
,
,
4
6
One way to compare or
order fractions is to
express them with the
same denominator.
The Least Common
Denominator is the same as
saying Least Common
Multiple of the denominators.
LCD = LCM
Use LCD
Step 1: Find the LCM of the
denominators
1 7 5 2
, , ,
6 12 9 3
Find the
LCD:
6, 12, 18, 24, 30, 36, 42, 48…
12, 24, 36, 48 …
9, 18, 27, 36, 45 …
3, 6, 9, 12, 15, 18, 21, 24,
27, 30, 33, 36 …
LCD = 36
Step 2: Write
equivalent
fractions. x 6
1 6

6 x 6 36
5 x 4 20

9 x 4 36
7 x 3 21

12x 3 36
2x 12 24

3x 12 36
Step 3:
Compare the
numerators
1 6

6 36
5 20

9 36
G
7 21
 36
12
2 24
 36
3
L
Use LCD
In order from
greatest to least:
2 7 5 1
, , ,
3 12 9 6
How to Convert
Fractions to Decimals
23
100
place.
This is the hundredths
place so the 3 needs to
be in the hundredths
2
3
.23
How to Convert
Fractions to Decimals
567
1000
place.
This is the thousandths
place so the 7 needs to
be in the thousandths
5
6
.567
7
How to Convert
Fractions to Decimals
4
1000
place.
This is the thousandths
place so the 4 needs to
be in the thousandths
0
0
.004
4
How to Convert
Fractions to Decimals
2
10
This is the tenths place
so the 2 needs to be in
the tenths place.
2
.2
*Suppose You Can’t Use A
Denominator of 10?
5
6
Divide
the
Numerator
by the
Denominator
*Suppose You Can’t Use A
Denominator of 10?
5
6
.83
.8 3
6 5 .0 0
48
20
18
2
*Suppose You Can’t Use A
Denominator of 10?
2
3
.6
.6
3 2 .0
18
2
*Now let’s order. . .
7
8
.875
6 3
10 4
.6
6
10
Least to Greatest 
.75
3
4
7
8