NCERT Class 7 Mathematics

FRACTIONS AND DECIMALS 45

Thus,to divide a whole number by any fraction, multiply that whole number by
the reciprocal of that fraction.

Find : (i) 7 ÷

2

5 (ii) 6 ÷

4

7 (iii) 2 ÷

8

9

l While dividing a whole number by a mixed fraction, first convert the mixed
fraction into improper fraction and then solve it.

Thus, 4 ÷

22

5

= 4 ÷

12

5

=? Also, 5 ÷ 3

1

3

= 3 ÷

10

3

=?

2.4.2 Division of a Fraction by a Whole Number

l What will be
3
4
 3?

Based on our earlier observations we have:^3

4

 3 =

3

4

3

1

 =^3

4

×

1

3

=

3

12

=

1

4

So,

2

3

 7 =

2

3 ×

1

7 =? What is

5

7

 6 ,

2

7

 8?

l While dividing mixed fractions by whole numbers, convert the mixed fractions into
improper fractions. That is,
22
3

 (^5) =^8
3
 (^5) = ------ ; 432
5
 = ------ = ------; 223
5
 = ------ = ------
2.4.3 Division of a Fraction by Another Fraction
We can now find
1
3 
5
6.
1
3 
5
6 =
1
3 × reciprocal of
5
6 =
1
3 ×
5
6 =
2
5.
Similarly,
82 8
53 5
 × reciprocal of^2
3 =? and,
1
2

3
4
=?
Find: (i)
31
52
 (ii)^13
25
 (iii) 213
25
 (iv) 519
62

TRY THESE
TRY THESE
Find: (i) 6  51
3
(ii) 7  24
7
TRY THESE