Page 70 - Maths Class 05

We can write a mixed fraction as an improper fraction and an improper fraction as a

mixed fraction.
8
Example : Write as a mixed fraction.
5

Solution : Method 1 Method 2

Pictorially, it can be shown as : 1 ¬ Quotient (Q)
(D) Divisor ® 5
8 8
5 – 5
3 3 ¬ Remainder (R)
1
5 8 3 R
\ = 1 = Q
1 3 5 5 D

8 3 5
\ = 1
5 5
3 3
Note that means .
1 +
1
5 5
Method 3
It can also be shown on the number

line as :
3
0 1 5 2

0 1 2 3 4 5 6 7 8 9 10
5 5 5 5 5 5 5 5 5 5 5

8
Jump 5-fifths to land on 1. Jump 3 more fifths to land on . This is same as
5
3
jumping by 1 and then by another .
5 \ 8 = 1 3
5 5
1
Example : Write as an improper fraction.
3
6
Solution : Pictorially, it can be shown as : 1

1 1 1 6
1
3
6
19

6
6 6 6 1
6 6 6 6

Mathematics-5 70