NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Mathematics (Maths) Class 7

Class 7 : NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

The document NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev is a part of the Class 7 Course Mathematics (Maths) Class 7.
All you need of Class 7 at this link: Class 7

Exercise 2.1

Q.1. Solve:
(i)NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(iv)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(v)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(vi)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(vii)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Ans.
(i)NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(iii)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(iv)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(v)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(vi)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(vii)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.2. Arrange the following in descending order:
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii)NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Ans.
(i) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
[Converting into like fractions]
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
[Arranging in descending order]
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Therefore,NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

(ii)  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
[Converting into like fractions]

⇒  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev 
[Arranging in descending order]

⇒  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev   

Therefore,NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.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?

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Ans. Sum of first row NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Sum of second row  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Sum of third row  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Sum of first column  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Sum of second column  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Sum of third column  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Sum of first diagonal [left to right) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Sum of second diagonal [left to right]  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Since the sum of fractions in each row, in each column and along the diagonals are same, therefore it is a magic square.

Q.4. A rectangular sheet of paper is NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev cm wide. Find its perimeter. 
Ans. 
Given: The sheet of paper is in rectangular form.
Length of sheet =NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev  cm and Breadth of sheetNCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev cm
Perimeter of rectangle = 2 (length + breadth)

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Thus, the perimeter of the rectangular sheet is NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.5. Find the perimeter of 
(i) ΔABE 
(ii) the rectangle BCDE in this figure. 
Whose perimeter is greater?

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Ans.
(i) In ΔABE NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
The perimeter of ΔABE = AB + BE + AE

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
= NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Thus, the perimeter of ΔABE isNCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRevcm

(ii) In rectangle BCDE,NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Perimeter of rectangle = 2 [length + breadth]

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Thus, the perimeter of rectangle BCDE isNCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Comparing the perimeter of triangle and that of rectangle,

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Therefore, the perimeter of triangle ABE is greater than that of rectangle BCDE.

Q.6. Salil wants to put a picture in a frame. The picture is NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev cm wide. To fit in the frame the picture cannot be more thanNCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev cm wide. How much should the picture be trimmed?
Ans.
Given: The width of the pictureNCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
and the width of picture frame NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Therefore, the picture should be trimmed
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Thus, the picture should be trimmed by  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.7. Ritu ate 3/5 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? 
Ans. The part of an apple eaten by Ritu = 3/5
The part of an apple eaten by Somu NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Comparing the parts of apple eaten by both Ritu and Somu  NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Larger share will be more b NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Thus, Ritu's part is 1/5 more than Somu’s part.

Q.8. Michael finished colouring a picture in 7/12 hour. Vaibhav finished colouring the same picture in 3/4 hour. Who worked longer? By what fraction was it longer? 
Ans. Time taken by Michael to colour the picture = 7/2 hour
Time taken by Vaibhav to colour the picture = 3/4 hour
Converting both fractions in like fractions,NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Here, NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Thus, Vaibhav worked longer time.
Vaibhav worked longer time by NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Thus, Vaibhav took 1/6 hour more than Michael.


Exercise 2.2 

Q.1. Which of the drawings (a) to (d) show: 

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Ans.
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.2. Some pictures (a) to (c) are given below. Tell which of them show:

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

 Ans.
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.3. Multiply and reduce to lowest form and convert into a mixed fraction: 
(i) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(iii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(iv) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(v) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(vi) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(vii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(viii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ix) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(x) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Ans.
(i) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(iii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(iv) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(v) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(vi) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(vii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(viii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ix) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(x) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev


Q.4. Shade:

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Ans.

NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev


Q.5. Find: 
(a) 1/2 of (i) 24 (ii) 46
(b) 2/3 of (i) 18 (ii) 27
(c) 3/4 of  (i) 16 (ii) 36
(d) 4/5 of (i) 20 (ii) 35

Ans.
(a) (i) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(b) (i) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(c) (i)
 NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(d) (i) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii) 
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.6. Multiply and express as a mixed fraction: 
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Ans.
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.7. Find:
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Ans. 
(a) (i) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(b) (i) NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
(ii) 
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Q.8. Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed 2/5 of the water. Pratap consumed the remaining water. 
(i) How much water did Vidya drink? 
(ii) What fraction of the total quantity of water did Pratap drink? 
Ans.
Given: Total quantity of water in bottle = 5 litres
(i) Vidya consumed = 2/5 of 5NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev

Thus, Vidya drank 2 litres water from the bottle.
(ii) Pratap consumed NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
NCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Pratap consumed 3/5 of 5 litres waterNCERT Solutions(Part - 1) - Fractions and Decimals Class 7 Notes | EduRev
Thus, Pratap drank 3/5 part of the total quantity of water.

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