Class 5 Maths Worksheet: Dividing Fractions by Whole and Mixed Numbers

Dividing a fraction by a whole number is a straightforward process where you convert the whole number into a fraction first. This method is a key part of the Class 5 Maths syllabus.

1. Write the whole number as a fraction with a denominator of 1 (e.g., 4 becomes 4/1).
2. Keep the first fraction the same.
3. Change the division sign to multiplication.
4. Flip the second fraction to find its reciprocal (e.g., 4/1 becomes 1/4).
5. Multiply the two fractions to get your final answer.

A mixed fraction, also known as a mixed number, is a number that consists of a whole number and a proper fraction combined. Understanding this is essential for solving problems involving mixed number division.

• For example, 2 ½ is a mixed number.
• It represents the value of 2 whole parts and 1 half part.
• Before performing calculations like division, a mixed number is usually converted into an improper fraction (e.g., 2 ½ becomes 5/2).

To solve fraction division word problems, you need to carefully read the problem to identify which quantity is being divided and what it is being divided by. A step-by-step approach helps in finding the correct solution.

1. Read and Understand: Identify the total amount (the dividend) and the number of groups it is being split into (the divisor).
2. Set up the Equation: Write the division problem using the numbers from the problem. For example, if you have ½ of a pizza and want to share it among 3 friends, the equation is ½ ÷ 3.
3. Solve the Division: Use the standard rules to divide the fractions (convert, invert, and multiply).
4. Check Your Answer: Make sure the answer makes sense in the context of the story problem.

The main rule for dividing a fraction by another fraction is to multiply the first fraction by the reciprocal of the second fraction. This is often remembered by the phrase “Keep, Change, Flip”.

• Keep: Keep the first fraction as it is.
• Change: Change the division symbol (÷) to a multiplication symbol (×).
• Flip: Flip the second fraction to get its reciprocal.
• Finally, multiply the numerators and the denominators to find the fraction quotient.

Finding the reciprocal allows us to change a division problem into a multiplication problem, which is much easier to solve. Division is the inverse operation of multiplication, so dividing by a number is the same as multiplying by its inverse, or reciprocal.

This fraction division worksheet for Class 5 includes a variety of questions to ensure thorough practice and concept reinforcement. The mixed format helps students build both procedural fluency and problem-solving abilities.

• Calculation Practice: Direct problems for dividing fractions by whole numbers and mixed numbers.
• Fill-in-the-Blanks: Questions to test understanding of intermediate steps.
• Word Problems: Real-world scenarios that require students to apply their knowledge of fraction division.

Converting a mixed number to an improper fraction is a necessary first step before you can divide it. The process involves a simple multiplication and addition.

1. Multiply the whole number by the denominator of the fraction.
2. Add the result to the numerator of the fraction.
3. Keep the original denominator.
4. For example, to convert 3 ¼, you calculate (3 × 4) + 1 = 13. The improper fraction is 13/4.

Yes, this printable worksheet includes a complete answer key with step-by-step solutions for all problems. This allows students to check their work independently, understand their mistakes, and practice effectively for exams. The key is included in the free PDF download.

Absolutely. This Class 5 Maths worksheet is designed based on general curriculum guidelines for Grade 5 students, making it suitable for students following CBSE, ICSE, and other state boards. The fundamental concepts of dividing fractions by whole numbers and mixed numbers are universal in elementary mathematics.