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MEAP Preparation - Grade 7 Mathematics
1.20 Comparing Mixed Numbers

To compare mixed numbers:
  1. First compare the whole numbers.
  2. When the whole numbers are the same, compare the fractions. If the denominators of the fractions are the same, compare the numerators.
  3. If the denominators are different, convert them to have least common denominator. Then compare the numerators.

Example:
3 5/7 __?___ 4 2/3
Since 3 is less than 4, 3 5/7 is less than 4 2/3.
3 5/7 < 4 2/3

3 1/2 __?__ 3 1/3
Whole numbers are equal, therefore compare the fractions 1/2 and 1/3. 1/2 is greater than 1/3.
Therefore, 3 1/2 > 3 1/3

12 2/4 _?_ 12 18/36
Whole numbers are equal, therefore compare the fractions 2/4 and 18/36. Writing both fractions to their lowest terms, we get 1/2 and 1/2.
Therefore, 12 2/4 = 12 18/36


Directions: Compare the mixed numbers using >, <, or =. Also write at least 10 examples of your own.
Q 1: 11 7/12 _____ 11 1/2
<
>
=

Q 2: 3 1/4 ____ 3 3/8
<
=
>

Q 3: 7 28/38 _____ 7 56/64
<
=
>

Q 4: 4 1/2 ____ 4 3/8
=
>
<

Q 5: 2 3/8 ____ 2 8/24
<
=
>

Q 6: 5 1/3 _____ 5 5/15
>
=
<

Q 7: 6 3/7 ____ 6 8/21
>
<
=

Q 8: 2 5/7 ____ 2 21/28
>
=
<

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