Types Of Fractions  Definition with Examples
Types of Fractions
A fraction represents a part of the whole. In a fraction, the top number is the numerator and the bottom number is the denominator.
For instance:
Kobe has chocolate with 5 bars. If he ate 3 bars of it, then the fraction of the chocolate he ate would be
(in screenshot: Number of bars Kobe ate/ Number of chocolate bars in a whole)
As we know that fraction is a part of the whole, so we have 2 different cases:
Case 1 When the fraction is less than a whole
The fractions which are less than a whole are called proper fractions.
Case 2 When the fraction is more than a whole
There are two different ways to write a fraction which is more than a whole:
1. Improper Fraction
2. Mixed Fraction
Example 1: What is the fraction of the shaded part in the given square?
There are 4 parts in the square and 1 part is shaded. The fraction of the shaded part is^{1}⁄_{4}.
Applications of fractions
Some applications of the fractions are:
(i) Fractions are useful to find out a part of a whole number.
(ii) We use fractions for distribution.
For example: To distribute 6 apples between 2 friends we can find out ^{1}⁄_{2} of 6. We can give 3 apples to each friend.
Types of fractions
There are three types of fractions:
(i) Proper fractions
(ii) Improper fractions
(iii) Mixed fractions
Proper fractions
Proper fractions refer to those fractions where the numerator is smaller than the denominator. A proper fraction is a part of a whole. For example ^{1}⁄_{2},^{3}⁄_{4}, ^{5}⁄_{9}, ^{11}⁄_{13}
Improper fractions
Improper fractions are those fractions where the numerator is greater than the denominator. They are greater than a whole. For example ^{7}⁄_{5} ,^{9}⁄_{5}
Mixed fractions
When we combine a whole number and a proper fraction together, we get a mixed fraction.
Fun Fact

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