Page 26 - Maths Skills - 7

24 Maths

INTRODUCTION
We have learnt about fractions and decimals in our previous classes. In fractions we have studied about proper,
improper and mixed fractions, their addition, subtraction, comparison of fractions and their representation on
number line, etc. In decimals, we have learnt to compare two decimals, representation of decimals on number line
and their addition and subtraction.

In this chapter, we shall learn multiplication and division of fractions. Before we proceed further let's recall what
we have learnt earlier.

FRACTION AND THEIR TYPES

Numerator N
A fraction is a part of a whole and it is represented as: or
Denominator D
3
For example; In the given figure, shaded parts can be represented as ·
8
Proper Fractions
A fraction in which the numerator is less than the denominator is called a proper fraction.

3 6 10
For example; , and are proper fractions.
5 7 13
Improper Fractions
A fraction in which the numerator is either greater than or equal to the denominator is called an improper fraction.

6 10 5
For example; , and are improper fractions.
5 3 5

Like Fractions
Fractions with the same denominator are called like fractions.
4 5
6
For example; , and are like fractions.
7 7 7
Unlike Fractions
Fractions with different denominators are called unlike fractions.
2 1
For example; , and 3 are unlike fractions.
8 5 10

Unit Fractions Absorbing Facts
A fraction in which the numerator is 1, is called a unit fraction. Improper fractions can be
1 1 1
For example, , , are all unit fractions. written as mixed fractions.
3 2 2

Mixed Fractions
A fraction which is made of a whole number and a proper fraction is called a mixed fraction.
1
1
1
For example; 2 , 3 and 6 are mixed fractions.
7 2 6
Equivalent Fractions
Fractions that represent the same value are called equivalent fractions.
1 2 3
For example, , , and 5 are all equivalent fractions.
3 6 9 15