Page 67 - Maths Skill - 6

Fractions 65

1 1 2 1 3 1
3 3 = or = or
1 6 3 9 3
3

(i) (ii) (iii)
4 4
(iii) Fraction as a part of division: We can write 4 divided by 5 as 4 ÷ 5 or where represents a fraction.
5 5
6
Similarly, means 6 divided by 9.
9
REPRESENTATION OF FRACTIONS ON NUMBER LINE

Let’s learn how to represent fractions on a number line. To do so, perform the following steps:
(i) Draw a line and mark a point 0 (zero) on it, label it as O.
(ii) Mark equal intervals on the number line towards the right of 0.

(iii) Write 1, 2, 3, ............... on the marks as numerators and denominators equal to the given denominator.
(iv) Label the fraction with the desired numerator and denominator as ‘A’.

5
For example; can be represented on a number line as follows:
8

5
Here, A represents ·
8
Let’s Attempt

Example 1: Circle one-third of the given collection as shown in fig. aside.

1
Solution: One-third means . So, we have to divide the collection into three equal
3 1
parts and select 1 part. 3

There are 6 stars, 6 ÷ 3 = 2.
Thus, one-third of the collection will have 2 stars.

Example 2: Circle two-fifths of the given collection as shown in fig. aside.

2
Solution: Two-fifths means . So, we have to divide the collection into 5
5
equal parts and select 2 parts.

There are 5 flowers, therefore, two-fifths of the collection will
have 2 flowers.