Tuesday, May 26, 2020

NCERT solution class 7 chapter 2 Fractions and Decimals 2.3 mathematics

EXERCISE 2.3



Q 1, Ex 2.3 - Fractions and Decimals - Chapter 2 - Maths Class 7th - NCERT

Page No 41:

Question 1:

Find:
(i) of (a)  (b)  (c) 
(ii) of (a)  (b)  (c) 

Answer:

(i) (a) 
(b) 
(c) 
(ii) (a) 
(b) 
(c) 


Q 2, Ex 2.3 - Fractions and Decimals - Chapter 2 - Maths Class 7th - NCERT

Page No 42:

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) 


Q 3, Ex 2.3 - Fractions and Decimals - Chapter 2 - Maths Class 7th - NCERT

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 .


Q 4, Ex 2.3 - Fractions and Decimals - Chapter 2 - Maths Class 7th - NCERT


Question 4:

Which is greater:
(i)  of  orof 
(ii)  of orof 

Answer:

(i) 

Converting these fractions into like fractions,

Therefore, of is greater.
(ii) 

Therefore,  of  is greater.


Q 5, Ex 2.3 - Fractions and Decimals - Chapter 2 - Maths Class 7th - NCERT


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 1st and last sapling = 3
Length of 1 gap = 
Therefore, distance between I and IV sapling =


Q 6, Ex 2.3 - Fractions and Decimals - Chapter 2 - Maths Class 7th - NCERT


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 = 




Q 7, Ex 2.3 - Fractions and Decimals - Chapter 2 - Maths Class 7th - NCERT


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.


Q 8, Ex 2.3 - Fractions and Decimals - Chapter 2 - Maths Class 7th - NCERT

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 

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