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.
Complete the addition-subtraction box.

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.