NCERT Solutions Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.3

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 2.3 has been provided here to help the students in solving the questions from this exercise. 

Chapter : 2 Fractions and Decimals

• NCERT Solution Class 7 Maths Exercise – 2.1
• NCERT Solution Class 7 Maths Exercise – 2.2
• NCERT Solution Class 7 Maths Exercise – 2.4
• NCERT Solution Class 7 Maths Exercise – 2.5
• NCERT Solution Class 7 Maths Exercise – 2.6
• NCERT Solution Class 7 Maths Exercise – 2.7

Exercise – 2.3

1. Find:

(i) of (a) (b) (c)

(ii) of (a) (b)  (c)

Solution –

(i) (a) of

= =

(b) of

= × =

(c) of 

= × =

(ii) (a) of 

= × =

(b) of 

= × =

(c) of 

= × =

2. Multiply and reduce to lowest form (if possible):

(i)  

(ii)  

(iii)

(iv)

(v)

(vi)

(vii)

Solution –

(i)  

= = =

(ii)  

=

(iii)

= =

(iv)

= =

(v)

=

(vi)

= =

(vii)

= =

3. Multiply the following fractions:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

Solution –

(i)

= = =

(ii)

= = =

(iii)

= = 8

(iv)

= = =

(v)

= = =

(vi)

= = =

(vii)

= = = =

4. Which is greater?

(i) of or of

(ii) of or of

Solution –

(i) of or of

= × or  ×

= × = × =

= × =

LCM of 14 and 8 is 56
= =

= =

Clearly,

<  Hence, of < of

(ii) of or of

= × or  ×

= × =  

= × =

Clearly,

  > Hence, of > of 

5. Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is ¾ m. Find the distance between the first and the last sapling.
Solution –
Number of saplings = 4
The distance between two adjacent saplings = ¾ m
∴ Distance between the first and the last sapling = ¾ + ¾ + ¾ + ¾
= m = m
Hence, the distance between the first and the last saplings is  m.

6. Lipika reads a book for 1 ¾ hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?
Solution –
Lipika reads the book for = hours every day = hours.
Number of days she took to read the entire book = 6 days
∴ Total number of hours required by her to complete the book =  6 ×  =  3 ×  =  = hours

Hence, the total number of hours required by her to complete the book is hours.

7. A car runs 16 km using 1 litre of petrol. How much distance will it cover using litres of petrol.
Solution –
The total number of distance travelled by a car in 1 liter of petrol = 16 km
Total quantity of petrol = liter = liters
Total number of distance travelled by car in liters of petrol =  16 ×

= 4 × 11   = 44 km

∴ Total number of distance travelled by car in liters of petrol is 44 km.

8. (a) (i) provide the number in the box [ ], such that × [ ] = .
(ii) The simplest form of the number obtained in [ ] is ______.
(b) (i) provide the number in the box [ ], such that × [ ] =
(ii) The simplest form of the number obtained in [ ] is ______. 

Solution –
(a) (i) provide the number in the box [ ], such that × [ ] = .
× [ ] =

⇒ [] =

⇒ [] = =

∴ The required number in the box is  

(ii) The simplest form of the number obtained in [ ] is ____.
The number in the box is
Then,
The simplest form of is ½

(b) (i) provide the number in the box [ ], such that × [ ] =
× [ ] = ⇒ [ ] =

⇒ [ ] = =

∴ The required number in the box is . 

(ii) The simplest form of the number obtained in [ ] is ______.
The number in the box is
Then, The simplest form of is .