Conversion of Mixed Fraction into Improper Fraction: Mathematics for Class 5: NCERT

Introduction:
In mathematics, fractions are used to represent parts of a whole or a group. A mixed fraction consists of a whole number and a proper fraction. On the other hand, an improper fraction has a numerator that is greater than or equal to its denominator. Converting a mixed fraction into an improper fraction helps in performing various mathematical operations efficiently. In this guide, we will explain the process of converting a mixed fraction into an improper fraction in detail.

Steps to Convert a Mixed Fraction into an Improper Fraction:

1. Understand the Terminology:
- Mixed Fraction: A combination of a whole number and a proper fraction.
- Whole Number: A number without any fraction or decimal part.
- Proper Fraction: A fraction where the numerator is less than the denominator.
- Improper Fraction: A fraction where the numerator is greater than or equal to the denominator.

2. Identify the Parts:
- A mixed fraction is typically represented as a whole number followed by a fraction. For example, 3 1/2.

3. Convert the Whole Number:
- Take the whole number part of the mixed fraction and multiply it by the denominator of the fraction. For example, in 3 1/2, the whole number part is 3. Multiply 3 by 2 (denominator of the fraction) to get 6.

4. Add the Numerator:
- Add the result from step 3 to the numerator of the fraction part. For example, in 3 1/2, the numerator is 1. Add 6 (from step 3) to 1 to get 7.

5. Write the Improper Fraction:
- Write the sum from step 4 as the numerator of the improper fraction. The denominator remains the same. For example, in 3 1/2, the improper fraction is 7/2.

Example:
Let's convert the mixed fraction 2 3/4 into an improper fraction.
- Multiply the whole number part (2) by the denominator of the fraction (4): 2 * 4 = 8.
- Add the result to the numerator of the fraction part (3): 8 + 3 = 11.
- The improper fraction is 11/4.

Conclusion:
Converting a mixed fraction into an improper fraction involves multiplying the whole number part by the denominator of the fraction and adding the result to the numerator. This process helps in simplifying calculations and comparisons. Understanding the concept of converting fractions is crucial for students in Class 5, as it forms the foundation for further mathematical concepts. Practice converting mixed fractions into improper fractions to enhance your mathematical skills.