Exercise 2.1 - Chapter 2 Fractions Decimals class 7 ncert solutions Maths - SaraNextGen [2024-2025]

Updated By SaraNextGen

On April 24, 2024, 11:35 AM

Question 1:

Solve:

(i)   (ii)   (iii) 

(iv)   (v)   (vi) 

(vii) 

Answer:

(i) 

(ii) 

(iii) 

(iv) 

(v) 

(vi) 

(vii) 

Question 2:

Arrange the following in descending order:

(i)   (ii) 

Answer:

(i) 

Changing them to like fractions, we obtain

Since 42>24>14,

(ii) 

Changing them to like fractions, we obtain

As 49 > 30>14,

Question 3:

In a “magic square”, the sum of the numbers in each row, in each column and along the diagonal is the same. Is this a magic square?

Along the first row, sum =   Answer:

Along the second row, sum =

Along the third row, sum = 

Along the first column, sum = 

Along the second column, sum = 

Along the third column, sum =

Along the first diagonal, sum = 

Along the second diagonal, sum =

Since the sum of the numbers in each row, in each column, and along the diagonals is the same, it is a magic square.

Question 4:

A rectangular sheet of paper is  cm long and  cm wide.

Find its perimeter.

Answer:

Length =

Breadth = 

Perimeter = 2 × (Length + Breadth)

Question 5:

Find the perimeters of (i) ΔABE (ii) the rectangle BCDE in this figure. Whose perimeter is greater?

Answer:

(i) Perimeter of ΔABE = AB + BE + EA

(ii)

Perimeter of rectangle = 2 (Length + Breadth)

Perimeter of ΔABE =

Changing them to like fractions, we obtain

As 531 > 430,

Perimeter (ΔABE) > Perimeter (BCDE)

Question 6:

Salil wants to put a picture in a frame. The picture is  cm wide.

To fit in the frame the picture cannot be more than cm wide. How much should the picture be trimmed?

Answer:

Width of picture =

Required width =

Question 7:

Ritu ate  part of an apple and the remaining apple was eaten by her brother Somu. How much part of the apple did Somu eat? Who had the larger share? By how much?

Answer:

Part of apple eaten by Ritu =

Part of apple eaten by Somu = 1 − Part of apple eaten by Ritu

=   

Therefore, Somu ate   part of the apple.

Since 3 > 2, Ritu had the larger share.

Difference between the 2 shares =

Therefore, Ritu’s share is larger than the share of Somu by .

Question 8:

Michael finished colouring a picture in  hour. Vaibhav finished colouring the same picture in  hour. Who worked longer? By what fraction was it longer?

Answer:

Time taken by Michael =

Time taken by Vaibhav =

Converting these fractions into like fractions, we obtain

Since 9 > 7,

Vaibhav worked longer.

Difference =  =   =