Practice Dividing Whole Numbers by Fractions – Class 6 Maths

The process of dividing a whole number by a fraction involves four straightforward steps. Following this division algorithm ensures you get the correct answer every time.

1. Write the whole number as a fraction: Place the whole number over 1 (e.g., 5 becomes 5/1).
2. Find the reciprocal of the divisor: Invert the fraction you are dividing by (e.g., the reciprocal of 2/3 is 3/2).
3. Multiply the two fractions: Multiply the first fraction by the reciprocal of the second.
4. Simplify the result: Reduce the final fraction to its simplest form if needed.

Solving fraction word problems for class 6 requires identifying the whole number and the fractional part from the scenario. This worksheet provides practice questions to help you apply the division concept to real-life situations.

• First, read the problem carefully to understand what is being divided. For example, 'How many 1/4-cup servings are in 3 cups of sugar?'
• Set up the division equation: Whole Number ÷ Fraction (e.g., 3 ÷ 1/4).
• Follow the standard steps: Multiply the whole number by the fraction's reciprocal (3 x 4/1).
• Calculate the answer to solve the problem (e.g., 12 servings).

Yes, this free printable worksheet comes with a complete answer key. The step-by-step solutions allow students to check their work, understand their mistakes, and reinforce the correct method for fraction division practice, making it ideal for self-study and parent-led revision.

Absolutely, this dividing whole numbers by fractions worksheet is designed as a print-friendly, downloadable PDF. Its clear layout and mobile-first preview make it easy for parents and teachers to print for homework, classroom activities, or concept reinforcement for Grade 6 students.

This worksheet helps students master dividing fractions in 6th grade by offering a variety of question types. It builds procedural fluency and conceptual understanding through a mix of activities.

• Calculation Practice: Standard problems (e.g., 8 ÷ 2/5) build core skills.
• Word Problems: These questions connect abstract maths to real-world scenarios.
• Visual Aids: Image-based questions using fraction bars help students visualize the division process.

The reciprocal of a fraction, also known as the multiplicative inverse, is found by flipping the numerator and the denominator. It is crucial because dividing by a fraction is the same as multiplying by its reciprocal, which simplifies the entire calculation process for dividing whole numbers by fractions.

The order of division significantly changes the problem and the answer. While both use the 'Keep, Change, Flip' method, what you 'keep' and what you 'flip' are different.

• Whole Number ÷ Fraction (e.g., 6 ÷ 1/2): You calculate 6 x 2/1, which equals 12. The answer is larger than the whole number.
• Fraction ÷ Whole Number (e.g., 1/2 ÷ 6): You calculate 1/2 x 1/6, which equals 1/12. The answer is smaller than the original fraction.

Yes, this Class 6 Maths fractions worksheet is expertly created to align with the curriculum guidelines of CBSE and NCERT. The content covers the topic of dividing whole numbers by fractions as prescribed in the syllabus, making it a reliable resource for exam preparation and homework.

Visual aids like fraction bars are included to help students develop a deeper conceptual understanding of fraction division. These visuals demonstrate how many fractional parts fit into a whole, which makes the abstract concept of dividing whole numbers by fractions more concrete and easier to grasp for young learners.