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Comparing Mixed (Like and Unlike) Fractions

Answer Keys Here

Aligned To Common Core Standard:

Grade 4 Fractions - 4.NF.2

How to Compare Mixed (Like and Unlike) Fractions Every student must be able to compare fractions both like and unlike. Comparison is used for determining which number is bigger and which one is smaller or what if they are equal. There are different situations in which fractions can be seen. Situation 1: Same Numerator but the different denominator - The children must understand that thirds are larger than sixths. The rule here is that the fraction with the smaller denominator is the bigger one. Situation 2: Different numerator but the same denominator - In this case, we can clearly see that there are different numbers of the same things. The same object is divided into 7/8th, and the other number is 3/8th. In this case, the number with the larger numerator is the bigger one. Situation 3: The different numerator and different denominator - In this case, the numerators and the denominators both are different. You can solve this by multiplying the top and bottom of the number with the same number as it will give the equivalent value. Once the multiplication is done, compare the two. 3/4 x 3/3 = 9/12 5/6 x 2/2 = 10/12 It can be seen clearly that the one with the bigger numerator is the bigger fraction as the denominator has now been made equal. These worksheets help students learn how to find a common denominator and compare unlike fractions or simply compare like fractions.

Like Fraction Comparisons

Unlike Fraction Comparisons

Homework Sheets

We start off the easy way. Just use straight symbols. We then add some model-based comparisons. We end off by ordering fraction values.

  • Homework 1 - The denominators in all fractions are same, so they do not need to be reworked. Now we have to compare numerators of both fractions.
  • Homework 2 - Which sign makes the sentence true and put ˂ ____ ˃ ____ =
  • Homework 3 - Complete the problems with a "___" by writing the ˃, ˂, or = signs. Rearrange the completed problems to make them true.

Practice Worksheets

I always like to remind students to check if they are equal first. If not, point the arrow to the smaller fraction.

  • Practice 1- Which symbol makes the most sense.
  • Practice 2- Which sign makes the sentence true (>, <, or =)?
  • Practice 3- Which set of fractions is ordered from least to greatest? Reorder sets that are incorrect.

Math Skill Quizzes

The quizzes are entirely fraction comparisons. This is the most common way to assess the skill.

  • Quiz 1- Write the symbol that makes the math sentence true.
  • Quiz 2- Make this sentence true.
  • Quiz 3- Compare the fractions by writing a symbol. (<, >, or =).