Order Fractions
6-11
Write these fractions in order from least to greatest: 1 , , 1.
1 and 1 have whole numbers. 1, so it is the least
number. Now compare and order the mixed numbers.
To compare and order mixed numbers with unlike denominators:
Compare the whole numbers. 1 1
Rename each fraction using
the LCD.
Compare the numerators.
Write the fractions in order
from least to greatest.
The number line shows that 1 1.
From least to greatest: , 1 , 1^234156 From greatest to least: 1 , 1 ,^561423
5
6
1
4
2
3
5
6
2
3
1
4
1
4
5
6
2
3
1
1
4 1
5
6
1
3
12 1
10
12
LCD is 12.
123 ^1012 , so 1 123 ^11012
(^114156)
(^23) , 1 , 1 (^1456)
2
3
1
4
0 1 2
(^1156)
1
3
12 1
6
12 1
10
12
8
12
Study these examples.
Order from greatest to least.
2
1
8
, 2^3
4
, ^1
8
(^9)
. 6
5
6
.,. 6 ^3
5
.,. 6 ^2
3
.
2
1
8 , 2
6
8 , 2
3
8 ^6
2
3
5
0 , 6
1
3
8
0 , 6
2
3
0
0
From greatest to least: 2
3
4 ,
1
8
(^9)
, 2
1
8 From greatest to least: 6
5
6 , 6
2
3 , 6
3
5
19
8 ^8
2
19
3
8
LCD is 30.
1.1
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