NCERT Solutions For Class 6 Maths Fractions Exercise 7.6

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NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.6

Exercise 7.6

Question 1.
Solve
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Image may be NSFW.
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Solution:
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Question 2.
Sarita bought Image may be NSFW.
Clik here to view. $\frac { 2 }{ 5 }$ metre of ribbon and Lalita Image may be NSFW.
Clik here to view. $\frac { 3 }{ 4 }$ metre of ribbon. What is the total length of the ribbon they bought?
Solution:
Length of ribbon bought by Sarita = Image may be NSFW.
Clik here to view. $\frac { 2 }{ 5 }$ metre
Length of ribbon bought by Lalita = Image may be NSFW.
Clik here to view. $\frac { 3 }{ 4 }$ metre
∴ Length of ribbon bought by Sarita and Lalita
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Hence, the required length = Image may be NSFW.
Clik here to view. $\frac { 23 }{ 20 }$ metre

Question 3.
Naina was given 1Image may be NSFW.
Clik here to view. $\frac { 1 }{ 2 }$ piece of cake and Najma was given 1Image may be NSFW.
Clik here to view. $\frac { 1 }{ 3 }$ piece of cake. Find the total amount of cake was given to both of them.
Solution:
Piece of cake given to Naina = 1Image may be NSFW.
Clik here to view. $\frac 1{ 1 }{ 2 }$
Piece of cake given to Najma = 1Image may be NSFW.
Clik here to view. $\frac 1{ 1 }{ 3 }$
Piece of cake given to Naina and Najma
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Hence the total amount of piece given to both = 2Image may be NSFW.
Clik here to view. $\frac { 5 }{ 6 }$ .

Question 4.
Fill in the boxes:
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
Image may be NSFW.
Clik here to view.
Here, missing number is Image may be NSFW.
Clik here to view. $\frac { 1 }{ 4 }$ more than Image may be NSFW.
Clik here to view. $\frac { 5 }{ 8 }$ .
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Here, missing number is Image may be NSFW.
Clik here to view. $\frac { 1 }{ 2 }$ more than Image may be NSFW.
Clik here to view. $\frac { 1 }{ 5 }$ .
Image may be NSFW.
Clik here to view.
Here, missing number is Image may be NSFW.
Clik here to view. $\frac { 1 }{ 6 }$ less than Image may be NSFW.
Clik here to view. $\frac { 1 }{ 2 }$ .
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions

Question 5.
Complete the addition-subtraction box.
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
Image may be NSFW.
Clik here to view.
Thus the box may be completed as follows:
Image may be NSFW.
Clik here to view.

Question 6.
A piece of wire Image may be NSFW.
Clik here to view. $\frac { 7 }{ 8 }$ metre long broke into two pieces. One piece was Image may be NSFW.
Clik here to view. $\frac { 1 }{ 4 }$ metre long. How long is the other piece?
Solution:
Total length of the wire = Image may be NSFW.
Clik here to view. $\frac { 7 }{ 8 }$ metre
Length of one piece of wire = Image may be NSFW.
Clik here to view. $\frac { 1 }{ 4 }$ metre
∴ Length of the other piece = Image may be NSFW.
Clik here to view. $\frac { 7 }{ 8 }$ – Image may be NSFW.
Clik here to view. $\frac { 1 }{ 4 }$
LCM of 8 and 4 = 8
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Hence, the length of the other piece = Image may be NSFW.
Clik here to view. $\frac { 5 }{ 8 }$ metre.

Question 7.
Nandini’s house is Image may be NSFW.
Clik here to view. $\frac { 9 }{ 10 }$ km from her school. She walked some distance and then took a bus for Image may be NSFW.
Clik here to view. $\frac { 1 }{ 2 }$ km to reach the school. How far did she walk?
Solution:
Total distance from house to school = Image may be NSFW.
Clik here to view. $\frac { 9 }{ 10 }$ km.
Distance travelled by Nandini by bus = Image may be NSFW.
Clik here to view. $\frac { 1 }{ 2 }$ km
∴ Distance travelled by her on foot
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Hence, the distance travelled by her on foot = Image may be NSFW.
Clik here to view. $\frac { 2 }{ 5 }$ km.

Question 8.
Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is Image may be NSFW.
Clik here to view. $\frac { 5 }{ 6 }$ th full and Samuel’s shelf is Image may be NSFW.
Clik here to view. $\frac { 2 }{ 5 }$ th full. Whose bookshelf is more full? By what fraction?
Solution:
Asha’s shelf is Image may be NSFW.
Clik here to view. $\frac { 5 }{ 6 }$ th full
and Samuel’s shelf is Image may be NSFW.
Clik here to view. $\frac { 2 }{ 5 }$ th full
Comparing Image may be NSFW.
Clik here to view. $\frac { 5 }{ 6 }$ and Image may be NSFW.
Clik here to view. $\frac { 2 }{ 5 }$
LCM of 6 and 5 = 30
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Hence, Asha’s shelf is full more than Samuel’s shelf.
Image may be NSFW.
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Hence, Image may be NSFW.
Clik here to view. $\frac { 13 }{ 30 }$ th fraction is more full of Asha’s shelf.

Question 9.
Jaidev takes 2Image may be NSFW.
Clik here to view. $\frac { 1 }{ 5 }$ minutes to walk across the school ground. Rahul takes Image may be NSFW.
Clik here to view. $\frac { 7 }{ 4 }$ minutes to do the same. Who takes less time and by what fraction?
Solution:
Jaidev takes 2Image may be NSFW.
Clik here to view. $\frac { 1 }{ 5 }$ minutes 5
Rahul takes 2Image may be NSFW.
Clik here to view. $\frac { 7 }{ 4 }$ minutes
Comparing 2Image may be NSFW.
Clik here to view. $\frac { 1 }{ 5 }$ minutes and Image may be NSFW.
Clik here to view. $\frac { 7 }{ 4 }$ minutes
Image may be NSFW.
Clik here to view. NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Image may be NSFW.
Clik here to view.
So, the time take to cover the same distance by Rahul is less than that of Jaidev.
Image may be NSFW.
Clik here to view.
Hence, Rahul takes Image may be NSFW.
Clik here to view. $\frac { 9 }{ 20 }$ minutes less to across the school ground.

Image may be NSFW.
Clik here to view. NCERT-Solutions-For-Class-6-Maths-Fractions-Exercise-7.6-01
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view.
Image may be NSFW.
Clik here to view. NCERT-Solutions-For-Class-6-Maths-Fractions-Exercise-7.6-08
Image may be NSFW.
Clik here to view.