Page 67 - Revised Maths Wisdom Class - 6

Fractions 65

(b) Fraction as a Part of a Group

Any given group of objects can also be represented as fraction. For example;

2 1
represents or
6 3

6 1
represents or
12 2

(c) Fraction as a Part of Division
1 3
A fraction can also be written as 1 ÷ 3 i.e., . Similarly, means 3 divided by 7.
3 7

ILLUSTRATIONS

Example 1: Represent the following fractions:

7 1 3
(a) (b) (c)
9 6 8
7 1
Solution: (a) (b)
9 6
3
(c) 8

3
Example 2: Find of 8 flowers.
4
Solution: Consider a group of 8 flowers
Divide the 8 flowers into 4 equal parts (Denominator of fraction)

Each part will contain 8 ÷ 4 = 2 flowers
Take 3 parts out of 4 parts
3
i.e., of 8 is 6 flowers
4
3 3 38× 24
Alternatively, of 8 = × 8 = = = 24 ÷ 4 = 6 flowers
4 4 4 4
1
Example 3: Find: of a day.
3
Solution: We know that a day has 24 hours

1
of 24
Remember!er!
3 Rememb
1 › When an object is divided into equal parts, each
= × 24
3 part is called a fraction of that object.
= 24 ÷ 3 = 8 hours › Each fraction has a numerator and a denominator.