Exercise 2.3 - Chapter 2 Fractions Decimals class 7 ncert solutions Maths - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Question 1:

Find:

(i)  of (a)   (b)   (c) 

(ii)  of (a)   (b)   (c) 

Answer:

(i) (a) 

(b) 

(c) 

(ii) (a) 

(b) 

(c) 

Question 2:

Multiply and reduce to lowest form (if possible):

(i)   (ii)   (iii) 

(iv)   (v)   (vi) 

(vii) 

Answer:

(i)   

(ii) 

(iii) 

(iv) 

(v) 

(vi) 

(vii) 

Question 3:

Multiply the following fractions:

(i)   (ii)   (iii) 

(iv)   (v)   (vi) 

(vii) 

Answer:

(i) 

This is an improper fraction and it can be written as a mixed fraction as  .

(ii) 

This is an improper fraction and it can be written as a mixed fraction as  .

(iii)   

This is a whole number.

(iv) 

This is an improper fraction and it can be written as a mixed fraction as  .

(v) 

This is an improper fraction and it can be written as a mixed fraction as  .

(vi) 

This is an improper fraction and it can be written as a mixed fraction as  .

(vii) 

This is an improper fraction and it can be written as a mixed fraction as  .

Question 4:

Which is greater:

(i)   of   or of 

(ii)   of  or of 

Answer:

(i) 

Converting these fractions into like fractions,

Therefore,  of  is greater.

(ii) 

Therefore,   of   is greater.

Question 5:

Saili plants 4 saplings, in a row, in her garden. The distance between two adjacent saplings is  m. Find the distance between the first and the last sapling.

Answer:

From the figure, it can be observed that gaps between 1^st and last sapling = 3

Length of 1 gap = 

Therefore, distance between I and IV sapling =

Question 6:

Lipika reads a book for  hours everyday. She reads the entire book in 6 days. How many hours in all were required by her to read the book?

Answer:

Number of hours Lipika reads the book per day =

Number of days = 6

Total number of hours required by her to read the book = 

Question 7:

A car runs 16 km using 1 litre of petrol. How much distance will it cover using  litres of petrol.

Answer:

Number of kms a car can run per litre petrol = 16 km

Quantity of petrol = 

Number of kms a car can run for  litre petrol =   = 44 km

It will cover 44 km distance by using  litres of petrol.

Question 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 _______.

Answer:

(a) (i) As  ,

Therefore, the number in the box  , such that   is

.

(ii) The simplest form of   is  .

(b) (i) As  ,

Therefore, the number in the box  , such that   is

.

(ii) As   cannot be further simplified, therefore, its simplest form is