NCERT Solutions Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.4

NCERT Solutions Class 7 Mathematics
Chapter – 2 (Fractions and Decimals)

The NCERT Solutions in English Language for Class 7 Mathematics Chapter – 2 Fractions and Decimals Exercise 2.4 has been provided here to help the students in solving the questions from this exercise. 

Chapter : 2 Fractions and Decimals

Exercise – 2.4

1. Find:
(i) 12 ÷                    (ii) 14 ÷               (iii) 8 ÷    

(iv) 4 ÷                    (v) 3 ÷               (vi) 5 ÷

Solution –
(i) 12 ÷
= 12 × reciprocal of 
= 12 ×
= 4 × 4
= 16

(ii) 14 ÷
= 14 × reciprocal of 
= 14 ×
= =

(iii) 8 ÷
= 8 × reciprocal of
= 8 ×

= =

(iv) 4 ÷
= 4 × reciprocal of  
= 4 ×

= 1 ×   =

(v) 3 ÷

=
= 3 × reciprocal of
= 3 ×

= =

(vi) 5 ÷

= 5 ÷
= 5 × reciprocal of

= 5 ×

= 1 × =

2. Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.

(i)            (ii)             (iii)            (iv)      

(v)         (vi)           (vii)

Solution –
(i)
Reciprocal of is
[∵   ×   = 1]
So, it is an improper fraction.
Improper fraction is that fraction in which numerator is greater than its denominator.

(ii)
Reciprocal of is
[∵ × = 1]
So, it is an improper fraction.
Improper fraction is that fraction in which numerator is greater than its denominator.

(iii)
Reciprocal of is
[∵ × = 1]
So, it is a proper fraction.
A proper fraction is that fraction in which denominator is greater than the numerator of the fraction.

(iv)
Reciprocal of is
[∵ × = 1]
So, it is a proper fraction.
A proper fraction is that fraction in which denominator is greater than the numerator of the fraction.

(v)
Reciprocal of is
[∵ × = 1]
So, it is a proper fraction.
A proper fraction is that fraction in which denominator is greater than the numerator of the fraction.

(vi)
Reciprocal of is or 8
[∵ × = 1]
So, it is a whole number.
Whole numbers are collection of all positive integers including 0.

(vii)
Reciprocal of is or 11
[∵ × = 1]
So, it is a whole number.
Whole numbers are collection of all positive integers including 0.

3. Find:

(i) ÷ 2            (ii) ÷ 5                    (iii) ÷ 7

(iv) ÷ 3      (v) ÷ 4                  (vi)  ÷ 7         

Solution –

(i) ÷ 2

= × reciprocal of 2

= ×

= =

(ii) ÷ 5

= × reciprocal of 5

= ×

=

(iii) ÷ 7

= × reciprocal of 7

= ×

=

(iv)  ÷ 3

= ÷ 3

= × reciprocal of 3

= ×

= =

(v) ÷ 4

= ÷ 4

= × reciprocal of 4

= ×

=

(vi)  ÷ 7

= ÷ 7

= × reciprocal of 7

= ×

=

4. Find:

(i) ÷           (ii) ÷                  (iii) ÷                   (iv) ÷        

(v) ÷       (vi) ÷              (vii) ÷            (viii) ÷

Solution –

(i) ÷      

= × reciprocal of

= ×

=

(ii) ÷

= × reciprocal of

= ×

=

(iii) ÷

= × reciprocal of

= ×

=

(iv) ÷

= ÷

= × reciprocal of

= ×

= =

(v) ÷

= ÷

= × reciprocal of  

= ×

=

(vi) ÷

= ÷

= × reciprocal of

= ×

=

(vii) ÷

= ÷

= × reciprocal of

= ×

= =

(viii) ÷

= ÷

= × reciprocal of

= ×

=

 

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