Comparing Mixed Numbers to Improper Fractions

Ⓡ MATH.4.3D I can compare two fractions with different numerators and different denominators, including those that are greater than 1, and represent the comparison using the symbols >, =, or <.

Guided Question: What strategies can we use to compare fractions that are greater than 1?

39 = 4 3/9
9

Improper Fraction to Mixed #

6 ¼ = 25
  4

Mixed # to Improper Fraction

You must be able to convert both

​It is always easier to convert a mixed Number to an Improper Fraction

If you were asked to compare:

6 ½         15/2

You can use the fast method to turn the mixed number into an improper fraction because they have the same denominator.

(2 x 6) = (12 + 1) = 13/2 < 15/2

​

Multiple Choice

Which answer choice is correct?

• A

• B

• C

• D

Multiple Choice

Compare the fractions.

• <

• >

• =

Multiple Choice

Will the cover be long enough to cover the couch?

• The cover is not long enought

• The cover is exactly long enough.

• The cover is too long

Fill in the Blanks

Match

Match the following Mixed number to its equivalent improper fraction.

• 4 2/5

• 3 6/8

• 6 2/3

• 8 5/7

• 5 1/2

22/5

30/8

20/3

61/7

11/2

• 22/5

• 30/8

• 20/3

• 61/7

• 11/2

Multiple Choice

Which way should the sign be facing?

• <

• =

• >