Class 3 Maths: Comparing Proper and Improper Fractions

The simplest rule for comparing these fraction types is that an improper fraction is always greater than a proper fraction. This is because an improper fraction's value is 1 or more, while a proper fraction's value is always less than 1.

• Example: When comparing 7/4 (improper) and 3/5 (proper), 7/4 is the greater fraction.
• For fractions with the same denominator, the one with the larger numerator is greater.

Here are some common examples of proper and improper fractions that a Grade 3 student will encounter in this maths revision worksheet.

• Examples of Proper Fractions: 2/5, 1/3, 4/7, and 8/11. In all these, the top number (numerator) is smaller than the bottom number (denominator).
• Examples of Improper Fractions: 7/4, 5/2, 9/6, and 3/3. In these, the numerator is greater than or equal to the denominator.

This fraction practice PDF helps children master the difference between proper and improper fractions through varied and repetitive exercises. It builds skills by having students actively engage with the concepts.

• It includes activities for identifying fractions as either proper or improper.
• It provides questions for comparing fractions using greater than and less than symbols.
• The mix of fill-in-the-blanks and tick-the-box questions reinforces learning and keeps them engaged.

Yes, this Class 3 Maths worksheet on comparing proper and improper fractions is completely free to download and is designed in a printable PDF format. You can easily print it for homework, holiday practice, or classroom use.

Yes, a complete answer key is included with this fraction worksheet. The answers are provided at the end of the PDF, allowing parents and teachers to quickly check the student's work and provide feedback, which is essential for effective learning.

This worksheet includes a variety of question formats to test and reinforce the concept of comparing fractions for Grade 3 students.

• Fill-in-the-Blanks: To insert the correct fraction or comparison symbol.
• Tick the Correct Option: To identify the greater/smaller fraction or the correct fraction type.
• Short Answer Questions: To write out the fraction or identify it as proper/improper.
• Visual Questions: Using images to help students visualise and compare fractions.

The easiest way to identify a proper fraction is to look at its numerator and denominator. If the top number (numerator) is smaller than the bottom number (denominator), it is a proper fraction. For example, in 3/4, since 3 is smaller than 4, it's a proper fraction.

An improper fraction is always greater than a proper fraction because of their fundamental values. This is a core rule in fraction comparison.

• A proper fraction represents a part of a single whole, so its value is always less than 1.
• An improper fraction represents one complete whole or more than one whole, so its value is always 1 or greater than 1.
• Therefore, a value of 1 or more will always be greater than a value less than 1.

This maths worksheet for kids is primarily designed for Grade 3 students (typically ages 7-9) who are learning about fractions. It is also highly beneficial for older students in higher grades who need remedial practice to strengthen their foundational understanding of proper and improper fractions.