Fractions and Decimals Class 7 Extra Questions Maths Chapter 2

Fractions and Decimals Class 7 Extra Questions Maths Chapter 2

Extra Questions for Class 7 Maths Chapter 2 Fractions and Decimals

Fractions and Decimals Class 7 Extra Questions Very Short Answer Type

Question 1.
If \(\frac { 2 }{ 3 }\) of a number is 6, find the number.
Solution:
Let x be the required number.

Hence, the required number is 9.

Question 2.
Find the product of \(\frac { 6 }{ 7 }\) and 2\(\frac { 2 }{ 3 }\).
Solution:

Question 3.
Solve the following:

Solution:

Question 4.
Multiply 2.05 and 1.3.
Solution:

Fractions and Decimals Class 7 Extra Questions Short Answer Type

Question 5.
Solve the following:
(a) 3 – \(\frac { 2 }{ 3 }\)
(b) 4 + \(\frac { 2 }{ 5 }\)
Solution:

Question 6.
Arrange the following in ascending order:

Solution:

Question 7.
Find the products:
(i) 2.4 × 100
(ii) 0.24 × 1000
(iii) 0.024 × 10000
Solution:

Question 8.
Arnav spends 1\(\frac { 3 }{ 4 }\) hours in studies, 2\(\frac { 1 }{ 2 }\) hours in playing cricket. How much time did he spend in all?
Solution:
Time spent by Arnav in studies = 1\(\frac { 3 }{ 4 }\) hours
Time spent by Arnav in playing cricket = 2\(\frac { 1 }{ 2 }\) hours
Total time spent by Arnav = 1\(\frac { 3 }{ 4 }\) hours + 2\(\frac { 1 }{ 2 }\) hours

Question 9.
A square paper sheet has 10\(\frac { 2 }{ 5 }\) cm long side. Find its perimeter and area.
Solution:

Question 10.

Solution:

Question 11.
The product of two numbers is 2.0016. If one of them is 0.72, find the other number.
Solution:
Product of two numbers = 2.0016
One number = 0.72
Other number = 2.0016 ÷ 0.72

Hence, the required number = 2.78.

Question 12.
Reemu reads \(\frac { 1 }{ 5 }\)th pages of a book. If she reads further 40 pages, she would have read \(\frac { 7 }{ 10 }\)th
page of the book. How many pages are left to be read? [NCERT Exemplar] Solution:
Let the total number of pages be x.
Number of pages read by Reemu = \(\frac { 1 }{ 5 }\)x
If she reads 40 more pages,
Total number of pages read by her = \(\frac { 1 }{ 5 }\)x + 40

Question 13.
\(\frac { 1 }{ 8 }\) of a number equals \(\frac { 2 }{ 5 }\) ÷ \(\frac { 1 }{ 20 }\). What is the number? (NCERT Exemplar)
Solution:
Let the number be x.

Hence, the required number = 64.

Question 14.
Simplify the following:

Solution:

Question 15.
The weight of an object on the Moon is \(\frac { 1 }{ 6 }\) its weight on the Earth. If an object weight 5\(\frac { 3 }{ 5 }\) kg on the Earth. How much would it weight on the Moon? [NCERT Exemplar] Solution:

Question 16.
A picture hall has seats for 820 persons. At a recent film show, one usher guessed it was \(\frac { 3 }{ 4 }\) full, another that it was \(\frac { 2 }{ 3 }\) full. The ticket office reported 648 sales. Which usher (first or second) made the better guess? [NCERT Exemplar] Solution:
Total number of seats = 820
Number of ticket sold = 648
For first usher = \(\frac { 3 }{ 4 }\) × 648 = 3 × 162 = 486
For second usher = \(\frac { 2 }{ 3 }\) × 648 = 2 × 216 = 432
Since 432 < 486
Hence, the first usher guessed better.