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1. Identify the proper, improper and mixed fractions from the following given fractions. Also,
which of the following is in the simplest form?
3 13 9 14
(a) (b) (c) 7 (d)
2 12 10 28
15 5 3
(e) 1 (f) (g)
80 12 4
3 2 7 5
2. Arrange the fractions ,, , in ascending order.
5 3 10 12

3. Identify the like fractions from the following sets of fractions.
5 8 2 1 2 9 7 22 110
(a) , , (b) , , 1 (c) 3 , 4 , 7
7 5 5 11 7 11 112 27 224

7 4
4. What should be added to to get the sum ?
20 9

Fractions

Fraction is a way of representing a whole into equal parts and then choosing some of them. When
an object is divided into equal parts then each part is called a fraction of the whole object.
Numerator
It is written as, Fraction =
Denominator
Where, numerator = number of equal parts chosen and denominator = total number of equal
parts of an object.

Types of Fractions

Proper Fraction

A fraction in which the numerator is less than its denominator is called a proper fraction.
8 11 91
For example: , , , etc.
11 37 283
Improper Fraction

A fraction in which the numerator is greater than its denominator is called an improper fraction.
9 28 851
For example: , , , etc.
5 13 453
Unit Fraction 1 1
A fraction with numerator 1 is called a unit fraction. For example: , , etc.
12 23
Mixed Fraction

A combination of a whole and a proper fraction is called a mixed fraction.
1 5 11
For example: 3 , 3 , 4 , etc.
2 7 42

29 Fractions and Decimals