Grade 4 - Progress in Mathematics

To compare mixed numbers:

First, compare the whole number parts. 6 
 6 
 6

Then, compare the fraction parts. 

1

2 ; 

1

2  

4

?? 8 

5

8

Draw 3 lines: 6 in., 6

1

2 in., 6

4

8 in. Then compare.

5

8

Visualize the facts of the problem as you reread it.

Facts: Bracelets are 6 in., 6^12 in., and 6^48 in.

Gwen’s bracelet is longer than Sonia’s.

Question: How long is Maraya’s bracelet?

5

8

Gwen, Maraya, and Sonia each buy a bracelet.

One is 6 in., one is 6^12 in., and the third is 6^48 in.

Gwen’s bracelet is longer than Sonia’s.

How long is Maraya’s bracelet?

5

8

Problem-Solving Strategy:

Logical Reasoning

8-11

Compare:

Compare:

(^48)
(^48)
4
8
1
4
2  4
1
2
4
? 8
1
2
4
8
1
4
2  4
1
2
5
8
5
8
1
? 2
5
8
So 6  6 ^12  and 6  6 ^48 .
Tw o bracelets are the same length. Gwen’s is longer
than Sonia’s, so Gwen’s bracelet is 6 85 in. long.
Sonia’s and Maraya’s must be equal in length. 6^12 in.
6 ^48 in.
5
8
5
8
5  4  So .
4
4

.
4
8
1
2
4
8
4
8
1
2
5
8
4
8
5
8
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