NCERT Solutions For Class 6 Maths Fractions Exercise 7.6

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NCERT Solutions For Class 6 Maths Fractions Exercise 7.6

NCERT Solutions for Class 6 Maths Chapter 7 Fractions Ex 7.6

Exercise 7.6

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

Question 3.
Naina was given 1\frac { 1 }{ 2 }piece of cake and Najma was given 1\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 = 1\frac 1{ 1 }{ 2 }
Piece of cake given to Najma = 1\frac 1{ 1 }{ 3 }
Piece of cake given to Naina and Najma
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Hence the total amount of piece given to both = 2\frac { 5 }{ 6 }.

Question 4.
Fill in the boxes:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Solution:
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Here, missing number is \frac { 1 }{ 4 }more than \frac { 5 }{ 8 }.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Here, missing number is \frac { 1 }{ 2 }more than \frac { 1 }{ 5 }.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions
Here, missing number is \frac { 1 }{ 6 }less than \frac { 1 }{ 2 }.
NCERT Solutions for Class 6 Maths Chapter 7 Fractions

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

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

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

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

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

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