Activities to Teach Students to Compare Fractions and Mixed Numbers

Fractions and mixed numbers are essential concepts in the field of mathematics. Students who can compare fractions and mixed numbers can apply this knowledge to real-life scenarios. Furthermore, such students can easily solve mathematical problems involving division, multiplication, and addition. Here are several activities that teachers can use to teach students how to compare fractions and mixed numbers.

1. Comparing Fractions and Mixed Numbers Showdown

Comparing fractions and mixed numbers showdown is an exciting game that builds students’ understanding of fractions and mixed numbers. Divide students into groups of four, and each group selects a captain. Provide each group with a set of flashcards containing fractions and mixed numbers. The captain draws one card and reads the fraction aloud. Students in the group compare the fraction to other fractions and mixed numbers and say whether the fraction is greater or less than the other numbers. Each correct response counts as one point. The team with the most points at the end of the game wins.

2. Fun with Equivalent Fractions

Equivalent fractions refer to two or more fractions of different fraction units that represent the same quantity. Teachers can use this concept to help students compare and order fractions and mixed numbers. Allocate an hour or two to discuss the concept of equivalent fractions, which involves several related tasks. First, give students a fraction like 2/4 and ask them to create equivalent fractions like 1/2 and 3/6. Next, ask students to order the fractions from the smallest to the largest. To finish, you may provide a worksheet for students to solve fractions involving mixed numbers.

3. Comparing Fractions through Real-Life Examples

Teaching students math is more effective when they can understand the applications in real life. To help students compare fractions and mixed numbers, provide practical examples of how fractions are used in everyday life. For example, if you have a pizza with eight slices, and you have consumed three slices, you can represent that as 3/8. If you then eat four more slices, you can represent that as 7/8. Using real-life problems to compare fractions provides students with an opportunity to apply these concepts and see how they are useful in daily life.

4. Math Games on Tablets or Computers

In the era of technology, students can learn how to compare fractions and mixed numbers through digital media. Teachers can use websites or apps to help students improve their mathematical skills. For example, SplashLearn, a learning website or app, has numerous games designed to teach students how to solve fractions. Some of the games include ordering fractions, identifying equivalent fractions, and comparing fractions using a number line.


Comparing fractions and mixed numbers are essential concepts in mathematics that students need to master. Teachers can use various activities to make the concepts easy to understand and apply, such as comparing fractions and mixed numbers showdowns, equivalent fractions, use of real-life examples, and math games on tablets or computers. Teachers can also choose their approach that suits the students’ grade level, ability, and learning style. By using these activities, students will enjoy learning about fractions and mixed numbers while building their mathematical abilities.    

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