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2.1 comparing & ordering fractions
1.
2.
To compare fractions
you can draw a picture or use the “Butterfly” method.
3.
4 3 6 5 < Draw a picture
Use >, <, or =.
4.
Use >, <,
or =. 5 3 3 2 9 10< < “Butterfly” method
5.
Use >, <,
or =. 10 3 4 1 12 10> > “Butterfly” method
6.
To order fractions
you can draw a picture or use the Least Common Denominator (LCD).
7.
4 3 6 5 Draw a picture Order
: least to greatest 2 1
8.
4 3 2 1 6 5 Order the fractions
from least to greatest. , ,
9.
One way to
compare or order fractions is to express them with the same denominator.
10.
Any common denominator could
be used. But the Least Common Denominator (LCD) makes the computation easier.
11.
The Least Common Denominator
is the Least Common Multiple of the denominators. LCD = LCM
12.
Use LCD List the
fractions in order from greatest to least. 3 2 , 9 5 , 12 7 , 6 1
13.
Use LCD Step 1:
Find the LCM of the denominators 3 2 , 9 5 , 12 7 , 6 1
14.
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 …
15.
Step 2: Write equivalent fractions. = 6 1 36x
6 x 6 6 = 12 7 36x 3 x 3 21 = 9 5 36x 4 x 4 20 = 3 2 36x 12 x 1224
16.
G L Step 3: Compare
the numerators = 6 1 36 6 = 12 7 36 21 = 9 5 36 20 = 3 2 36 24
17.
Use LCD In order
from greatest to least: 6 1 , 9 5 , 12 7 , 3 2