NCERT Solutions For Class 6 Maths Fractions Exercise 7.6

Free download NCERT Solutions for Class 6 Maths Chapter 7 Ex 7.6 Fractions PDF for CBSE 2020 Exams.

You can also Download NCERT Solutions for Class 6 Maths to help you to revise complete Syllabus and score more marks in your examinations.

• Fractions Class 6 Ex 7.1
• Fractions Class 6 Ex 7.2
• Fractions Class 6 Ex 7.3
• Fractions Class 6 Ex 7.4
• Fractions Class 6 Ex 7.5
• Fractions Class 6 Ex 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.

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