Comparing

1
Comparing Ordering Fractions
2
Objectives

• TSW compare and fractions with like and
• unlike denominators using fraction pieces,
• drawings, and the butterfly method.
• I can compare and order fractions with
• like and unlike denominators.

3
Important Words

• Numerator
• Denominator
• Like
• Unlike

4
To compare fractions you can draw a picture or
use the Butterfly method.
5
Draw a picture
Use gt, lt, or .
lt
6
Comparing with like denominators

• 3 2 1 4 2 1
• 7 7 6 6 3 3
• You have to look at the parts and find
• which one is bigger.

7
Use gt, lt, or .
Butterfly method
9
10
lt
lt
8
Use gt, lt, or .
Butterfly method
12
10
gt
gt
9
Lesson 2
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To order fractions you can draw a picture or use
the Least Common Denominator (LCD).
11
Order least to greatest
Draw a picture
12
Order the fractions from least to greatest.
,
,
13
One way to compare or order fractions is to
express them with the same denominator.
14
Any common denominator could be used. But the
Least Common Denominator (LCD) makes the
computation easier.
15
The Least Common Denominator is the Least Common
Multiple of the denominators.
LCD LCM
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Use LCD
List the fractions in order from greatest to
least.
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Use LCD
Step 1 Find the LCM of the denominators
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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
19
Step 2 Write equivalent fractions.
x 6
6
21
x 3
36
36
x 6
x 3
x 4
20
24
x 12
36
36
x 4
x 12
20
Step 3 Compare the numerators
G L
21
6
36
36
24
20
36
36
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Use LCD
In order from greatest to least