Comparing Improper and Mixed Fractions – Class 4 Maths Worksheet

You can convert an improper fraction into a mixed fraction by using division.

• Step 1: Divide the numerator (the top number) by the denominator (the bottom number).
• Step 2: The quotient (the result of the division) becomes the whole number part of the mixed fraction.
• Step 3: The remainder becomes the new numerator, and the denominator stays the same.
• For example, to convert 7/3, divide 7 by 3. The quotient is 2 and the remainder is 1, so the mixed fraction is 2 1/3.

Improper fractions and mixed numbers are two different ways to represent fractions that are greater than one whole.

• An Improper Fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). For example, 5/4 or 11/6.
• A Mixed Number (or mixed fraction) is a combination of a whole number and a proper fraction. For example, 1 1/4 or 3 1/2.

The easiest way to compare fractions for Class 4 students is to convert them so they share a common denominator.

• First, check if the fractions are in the same format (e.g., both are improper or both are proper). Convert any mixed numbers to improper fractions.
• Next, find the Least Common Multiple (LCM) of the denominators to get a common denominator.
• Convert each fraction to an equivalent fraction with this common denominator.
• Finally, compare their numerators. The fraction with the larger numerator is greater.

This worksheet helps reinforce the concept of comparing fractions by providing a mix of targeted activities and visual aids.

• It offers direct practice in converting between improper and mixed fractions, a key skill for comparison.
• Exercises like fill-in-the-blanks and using greater/less than signs build confidence and speed.
• Visual models like fraction bars or pies help students see the value of fractions, making the concept less abstract and easier to grasp.

Solving this worksheet helps a Class 4 student develop several core mathematical skills essential for understanding fractions.

• Fraction Conversion: Fluency in changing improper fractions to mixed numbers and vice versa.
• Comparison Skills: The ability to accurately determine which fraction is greater or lesser.
• Number Sense: A better intuitive understanding of the value represented by different fractions.
• Logical Reasoning: Applying step-by-step processes to solve comparison problems.

Yes, this worksheet is available as a free, downloadable, and printable PDF file.

This format is designed for easy use at home or in the classroom, allowing parents and teachers to provide extra practice for students. You can easily print it out for homework, test preparation, or holiday revision.

Yes, a detailed answer key is provided with this worksheet.

The solutions for all activities are included to help parents, teachers, and students verify the answers. This promotes self-correction and independent learning, allowing students to check their work and understand their mistakes.

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator and then add the numerator.

• Step 1: Multiply the whole number by the fraction's denominator.
• Step 2: Add the result to the fraction's numerator.
• Step 3: This final number becomes the new numerator of the improper fraction. The denominator remains the same.
• For example, for 3 1/4, you calculate (3 × 4) + 1 = 13. The improper fraction is 13/4.

Yes, this worksheet is fully aligned with the learning objectives of the Class 4 NCERT curriculum.

It has been created by subject matter experts to specifically target core concepts like improper fractions, mixed numbers, and their comparison, as prescribed in the NCERT syllabus. This makes it a reliable resource for students following the CBSE board and other educational boards based on NCERT guidelines.