Compare mixed numbers and improper fractions

Key notes:

  1. Compare the whole-number parts.
  2. If the whole-number parts are the same, use a common denominator to compare the fraction parts.

Learn with an example

🔥Which sign makes the statement true?

8 1/5 ____ 8 2/10

  1. <
  2. >
  3. =

Compare the whole-number parts. The whole-number part of each number is 8, so the whole-number parts are the same.

To compare the fraction parts, first write the fractions with a common denominator.

Now compare the numerators.

2/10 = 2/10

8 1/5 = 8 2/10

🔥Which sign makes the statement true?

7 2/5 ____ 7 7/10

  1. <
  2. >
  3. =

Compare the whole-number parts. The whole-number part of each number is 8, so the whole-number parts are the same.

To compare the fraction parts, first write the fractions with a common denominator.

Now compare the numerators.

4/10 < 7/10

7 2/5 < 7 7/10

🔥Which sign makes the statement true?

8 1/5 ____ 8 3/15

  1. <
  2. >
  3. =

1/5=1(3)/5(3)=3/15

Now compare the numerators.

3/15=3/15

8 1/5 = 8 3/15

Let’s practice!