MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1

Question 1.
Solve:
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 1
Solution:
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 2

Question 2.
Arrange the following in descending order:
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 3
Solution:
(i)
\(\frac{2}{9}, \frac{2}{3}, \frac{8}{21}\)
Converting them into like fractions, we obtain
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 4
Converting them into like fractions, we obtain
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 5

Question 3.
In a “magic square”, the sum of the numbers in each row, in each column and along the diagonals is the same. Is this a magic square?
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 6
(Along the first row \(\frac{4}{11}+\frac{9}{11}+\frac{2}{11}=\frac{15}{11}\)).
Solution:
Sum along the first row
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 7
Since, the sum of the numbers in each row, in each column and along the diagonals is the same.
Yes, it is a magic square.

MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1

Question 4.
A rectangular sheet of paper is \(12 \frac{1}{2}\) cm long and \(10 \frac{2}{3}\) cm wide. Find its perimeter.
Solution:
Length = \(12 \frac{1}{2}\) cm = \(\frac{25}{2}\) cm and
Breadth \(=10 \frac{2}{3} \mathrm{cm}=\frac{32}{3} \mathrm{cm}\)
Perimeter = 2 × (Length + Breadth)
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 8

Question 5.
Find the perimeters of
(i) ∆ABE
(ii) the rectangle BCDE in this figure. Whose perimeter is greater?
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 9
Solution:
(i) Perimeter of rectangle
∆ABE = AB + BE + EA
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 10
(ii) Perimeter of rectangle BCDE = 2(BE+DE)
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 11
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 12
So, \(\frac{177}{20}>\frac{47}{6}\)
Thus, perimeter of ∆ABE is greater

MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1

Question 6.
Salil wants to put a picture in a frame. The picture is \(7 \frac{3}{5}\) cm wide. To fit in the frame the picture cannot be more than \(7 \frac{3}{10}\) cm wide. How much should the picture be trimmed?
Solution:
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 13

Question 7.
Ritu ate 2 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?
Solution:
Part of an apple eaten by Ritu = \(\frac{3}{5}\)
Part of an apple eaten by Somu = 1 – (Part of an apple eaten by Ritu)
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 14

MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1

Question 8.
Michael finished colouring a picture in \(\frac{7}{12}\) hour. Vaibhav finished colouring the same picture in \(\frac{3}{4}\) hour. Who worked longer?
Solution:
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 15
Converting these fractions into like fractions, we obtain
MP Board Class 7th Maths Solutions Chapter 2 Fractions and Decimals Ex 2.1 16

MP Board Class 7th Maths Solutions

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