All questions of Fractions for Class 6 Exam

Understanding Division of Fractions
When dividing fractions, we use the reciprocal of the second fraction. Here's why:
What is a Reciprocal?
- The reciprocal of a fraction is created by flipping the numerator and denominator. For example, the reciprocal of 1/2 is 2/1.
Why Use the Reciprocal?
- To Multiply Instead of Dividing: When we divide by a fraction, it is mathematically equivalent to multiplying by its reciprocal. This is because division can be thought of as how many times one number fits into another. In the case of fractions, flipping the second fraction allows us to convert the division into a multiplication operation.
Steps to Divide Fractions
1. Identify the Fractions: For example, if you need to divide 1/2 by 1/4.
2. Flip the Second Fraction: The reciprocal of 1/4 is 4/1.
3. Multiply: Now, instead of dividing, multiply: 1/2 × 4/1 = 4/2.
4. Simplify: 4/2 simplifies to 2.
Why This Works
- Dividing by a number gives an idea of how many times that number fits into another. When we flip the fraction and multiply, we are effectively finding how many times the second fraction fits into the first, which is the essence of division.
Using the reciprocal allows for a straightforward calculation process, making it easier to solve problems involving division of fractions.