6th Grade Math Textbook, Progress

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.


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