# NCERT Solutions For Class 6 Maths Fractions Exercise 7.6

## 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

Solution:

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

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

Hence the total amount of piece given to both = 2$\frac { 5 }{ 6 }$.

Question 4.
Fill in the boxes:

Solution:

Here, missing number is $\frac { 1 }{ 4 }$more than $\frac { 5 }{ 8 }$.

Here, missing number is $\frac { 1 }{ 2 }$more than $\frac { 1 }{ 5 }$.

Here, missing number is $\frac { 1 }{ 6 }$less than $\frac { 1 }{ 2 }$.

Question 5.

Solution:

Thus the box may be completed as follows:

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

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

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

Hence, Asha’s shelf is full more than Samuel’s shelf.

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

So, the time take to cover the same distance by Rahul is less than that of Jaidev.

Hence, Rahul takes $\frac { 9 }{ 20 }$minutes less to across the school ground.

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