Page 66 - classs 6 a_Neat

EXAMPLE 14: Convert each of the following into an improper fraction:
4 5 7 1
(i) 3 , (ii) 6 , (iii) 5 (iv) 11
5 8 9 6
SOLUTION: We have

4 ( 3 × 5 ) + 4 19 (a)
(i) 3 = =
5 5 5
5 ( 6 × 8 ) + 5 53
(ii) 6 = =
8 8 8
7 ( 5 × 9 ) + 7 52
(iii) 5 = =
9 9 9
1 ( 11 × 6 ) + 1 67
(iv) 11 = =
6 6 6

EXAMPLE 15: Convert each of the following into a mixed fraction:

23 37 45 50
(i) (ii) (iii) (iv)
5 6 8 7

SOLUTION: (i) On dividing 23 by 5, we get

23 3 3
5 = 4 + 5 = 4 5

(ii) On dividing 37 by 6, we get
quotient = 6 and remainder = 1.
37 1 1 2. Name the fraction represented by the shaded parts in the following collections.
6 = 6 + 6 = 6 6

(iii) On dividing 45 by 8, we get
quotient= 5 and remainder= 5.
45 = 5 + 5 = 5 5
8 8 8

(iv) On dividing 50 by 7, we get
quotient= 7and remainder= 1.
50 = 7 + 1 = 7 1
7 7 7

PRACTICE EXERCISE 5.1

1. Write how many parts of the whole are shaded in each of the following shapes.