to compare fractions you can draw a picture or use the “butterfly” method
TRANSCRIPT
To compare fractions you can draw a picture or use
the “Butterfly” method.
4
3
6
5<
Draw a picture Use >, <, or =.
Use >, <, or =.
5
33
29 10<
<
“Butterfly” method
Use >, <, or =.
10
34
112 10>
>
“Butterfly” method
To order fractions you can draw a picture or
use the Least Common Denominator (LCD).
4
3
6
5
Draw a pictureOrder :
least to greatest
2
1
4
32
1
6
5
Order the fractions from least to greatest.
, ,
One way to compare or order fractions is to
express them with the same denominator.
Any common denominator could be used. But the
Least Common Denominator (LCD)
makes the computation easier.
The Least Common Denominator is the
Least Common Multiple of the denominators.
LCD = LCM
Use LCD
List the fractions in order from greatest to least.
3
2,
9
5,
12
7,
6
1
Use LCD
Step 1: Find the LCM of the denominators
3
2,
9
5,
12
7,
6
1
6, 12, 18, 24, 30, 36, 42, 48…
LCD = 36
Find the LCD:
12, 24, 36, 48 …
9, 18, 27, 36, 45 …
3, 6, 9, 12, 15, 18, 21, 24,
27, 30, 33, 36 …
Step 2: Write equivalent fractions.
6
1
36x 6
x 6 6 12
736x 3
x 3 21
9
536x 4
x 4 20 3
236x 12
x 1224
G LStep 3: Compare the numerators
6
1
36 6
12
73621
9
53620
3
23624
Use LCD
In order from greatest to least:
6
1,
9
5,
12
7,
3
2