Comparing Fractions and Mixed Numbers: Maths Worksheet for Class 3

An example of a mixed fraction, also called a mixed number, for Class 3 is 2 ½. A mixed number combines a whole number and a proper fraction. In this example:

• The number 2 is the whole number.
• The fraction ½ is the proper fraction part.

This means you have 2 whole items and one-half of another item, like two full pizzas and one-half of a third pizza.

To compare a fraction with a mixed number, you should first convert the mixed number into an improper fraction. Here is the simple, step-by-step process:

1. Convert: Change the mixed number into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator. Keep the same denominator.
2. Find Common Denominators: If the fractions have different denominators, find a common denominator for both.
3. Compare: Once the denominators are the same, compare the numerators. The fraction with the larger numerator is the greater value.
4. Use Symbols: Use >, <, or = to complete the fraction comparison.

For 3rd grade students, mixed numbers are numbers that represent a value greater than one by combining a whole number and a fraction. They show 'how many wholes' and 'how many parts' you have. For example, if you have one full apple and a quarter of another apple, you have 1 ¼ apples. This is a key concept introduced in Class 3 Maths to understand values that are not just simple fractions.

This printable fractions worksheet is perfect for reinforcing maths concepts at home. You can use it for:

• Homework Practice: Quickly practise concepts taught in school.
• Concept Reinforcement: Help your child master comparing fractions and mixed numbers through visual exercises.
• Revision: Use it as a quick revision tool before a class test or exam.
• Building Confidence: The clear layout and included answer key help children work independently.

Yes, this Class 3 maths worksheet on comparing fractions and mixed numbers comes with a complete answer key. The answer key allows parents and students to easily check their work, understand mistakes, and build confidence by confirming correct answers. All fraction questions are provided with clear solutions.

Yes, this worksheet is designed to be easily printable. It is available as a free PDF fraction worksheet that you can download and print at home or in the classroom. The format is optimised for standard A4 paper, with large fonts and clear images suitable for Grade 3 students.

This activity helps Class 3 students build several fundamental maths skills. By completing the exercises, students will improve their ability to:

• Understand and perform fraction comparison.
• Identify and interpret mixed numbers.
• Use comparison symbols like greater than (>) and less than (<) correctly.
• Develop fraction visualization skills by comparing shaded shapes.
• Strengthen their understanding of numerators and denominators.

This worksheet reinforces concept retention by providing varied practice on a single, focused topic. It uses a mix of activities to ensure students understand comparing fractions and mixed numbers from different angles:

• Direct Practice: Using <, >, = symbols to test knowledge directly.
• Visual Learning: Using shaded images to connect the abstract concept of fractions to a visual representation.
• Application: Fill-in-the-blanks questions require students to apply their understanding in different contexts.

The main difference between a proper fraction and an improper fraction lies in the value of the numerator compared to the denominator. Understanding this is essential before working with mixed numbers.

• A proper fraction has a numerator (the top number) that is smaller than its denominator (the bottom number). It always represents a value less than 1. Example: 3/4.
• An improper fraction has a numerator that is greater than or equal to its denominator. It represents a value of 1 or more. Example: 5/4.