Types of Fractions
Kobe has chocolate with 5 bars. If he ate 3 bars of it, then the fraction of the chocolate he ate would be
Hence, the numerator and the denominator of a fraction inform us about how many parts of the whole there are. The denominator will inform us about the number of equal parts the whole is divided into and the numerator will inform us how many out of the total parts we need to shade.
This leaves us with 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:
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 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 are those fractions where the numerator is greater than the denominator. They are greater than a whole. For example 7⁄5 ,9⁄5
When we combine a whole number and a proper fraction together, we get a mixed fraction.