Document for Fractions in Mathematics Olympiad Class 4

Introduction:
Fractions is an important concept in mathematics and is widely used in various mathematical operations. It is one of the key topics in Mathematics Olympiad Class 4. This document will explain the concept of fractions in detail.

Understanding Fractions:
A fraction is a part of a whole number. It is represented in the form of a/b, where a is the numerator and b is the denominator. The numerator represents the number of parts and the denominator represents the total number of parts.

Types of Fractions:
There are three types of fractions: proper fraction, improper fraction, and mixed fraction.

- Proper Fraction: A proper fraction is a fraction where the numerator is less than the denominator. For example, 2/5 is a proper fraction.

- Improper Fraction: An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 7/4 is an improper fraction.

- Mixed Fraction: A mixed fraction is a combination of a whole number and a proper fraction. For example, 2 1/3 is a mixed fraction.

Equivalent Fractions:
Equivalent fractions are fractions that have the same value. They can be obtained by multiplying or dividing both the numerator and denominator by the same number. For example, 2/4 and 1/2 are equivalent fractions.

Comparing Fractions:
Fractions can be compared by finding a common denominator. The fraction with the larger numerator is greater. For example, if we compare 2/5 and 3/5, 3/5 is greater as the numerator is larger.

Operations on Fractions:
Fractions can be added, subtracted, multiplied, and divided. The operations are performed by finding a common denominator and simplifying the fractions. For example, to add 2/5 and 3/5, we find a common denominator of 5 and add the numerators to get 5/5 or 1.

Conclusion:
Fractions are an important concept in mathematics and are used in various mathematical operations. Understanding fractions is crucial for Mathematics Olympiad Class 4.

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