Fractions Conversion Worksheet for Class 6 Maths

To convert a mixed number into an improper fraction, you combine the whole number with the fractional part. This is a key step in solving many fraction questions for Class 6.

• First, multiply the whole number by the denominator of the fraction.
• Next, add the result to the numerator.
• This new sum becomes the numerator of the improper fraction.
• The denominator remains unchanged.
• For example, for 3 1/2, you calculate (3 × 2) + 1 = 7. The improper fraction is 7/2.

To simplify a fraction, you reduce it to its simplest form by dividing both the numerator and the denominator by their highest common factor (HCF). This is a fundamental skill in the Class 6 Maths Chapter 7 on fractions.

• Find the factors of both the numerator and the denominator.
• Identify the highest common factor (HCF).
• Divide both the numerator and the denominator by the HCF.
• For example, to simplify 12/18, the HCF of 12 and 18 is 6. Dividing both by 6 gives 2/3.

The rule for finding equivalent fractions is to multiply or divide both the numerator and the denominator by the same non-zero number. This ensures the value of the fraction remains the same.

• To find a larger equivalent fraction: Multiply the numerator and denominator by the same number (e.g., 2, 3, 4). For 1/3, multiplying by 2 gives 2/6.
• To find a smaller equivalent fraction (simplifying): Divide the numerator and denominator by a common factor. For 8/10, dividing by 2 gives 4/5.

To convert a fraction to a decimal, you simply divide the numerator by the denominator. This is a common type of fraction conversion problem in Grade 6 maths.

• Set up a division problem where the numerator is the dividend and the denominator is the divisor.
• Perform the division. For example, to convert the fraction 3/4 to a decimal, you divide 3 by 4, which equals 0.75.

This worksheet builds essential mathematical skills by providing targeted practice on key fraction concepts from the NCERT syllabus. Key skills developed include:

• Procedural Fluency: Mastering the step-by-step processes for converting between improper fractions and mixed numbers.
• Conceptual Understanding: Reinforcing the relationship between different forms of fractions, including equivalent fractions.
• Calculation Accuracy: Improving accuracy in division, multiplication, and finding the simplest form of fractions.
• Problem-Solving: Applying conversion rules to solve various fraction questions for Class 6.

This worksheet is designed for easy use at home to support your child's learning and reinforce classroom concepts. You can use it in several ways:

• For homework support and extra practice on topics like converting mixed numbers.
• As a revision tool before school tests or exams to practice simplifying fractions.
• To identify and strengthen weak areas in understanding fraction conversion.
• Use the included answer key to check work and understand the correct steps.

Yes, a detailed answer key is provided with this Class 6 Maths Fractions Convert worksheet. The answer key includes step-by-step solutions, which helps students and parents to:

• Check answers for accuracy.
• Understand the correct method for improper to mixed number conversion.
• Review the process of simplifying fractions.
• Build confidence by self-correcting their work.

Yes, this fraction worksheet for Class 6 with answers is available as a free, downloadable PDF file. The PDF format is print-friendly, allowing you to easily print it for classroom or home use, ensuring a clear layout for students to work on.

This worksheet is specifically designed for students in Class 6, who are typically 11–12 years old. The content is aligned with the NCERT Class 6 Maths Chapter 7 (Fractions) syllabus and is also suitable for students following CBSE, ICSE, and other state board curricula.