# Class 6 Maths NCERT Solutions for Chapter 7 Fractions Ex – 7.6

## Fractions

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:
Ribbon bought of Sarita = $\frac { 2 }{ 5 }$ m
Ribbon bought of Lalita = $\frac { 3 }{ 4 }$ m
Total length of the ribbon bought = $\left( \frac { 2 }{ 5 } +\frac { 3 }{ 4 } \right)$ m

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:
Number of pieces of cake consumed by Naina = $1\frac { 1 }{ 2 }$
Number of pieces of cake consumed by Najma = $1\frac { 1 }{ 3 }$
Total amount of cake consumed = $1\frac { 1 }{ 2 } +1\frac { 1 }{ 3 }$

Question 4.
Fill in the boxes:

Solution:

Question 5.
Complete the addition-subtraction box.

Solution:

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 wire = $\frac { 7 }{ 8 }$ metre
Length of a piece of wire = $\frac { 1 }{ 4 }$ metre
∴ Other piece of wire =$\left( \frac { 7 }{ 8 } -\frac { 1 }{ 4 } \right)$ 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

Solution:
Total distance of Nandini’s house from her school = $\frac { 9 }{ 10 }$ km
Distance for which bus was taken = $\frac { 1 }{ 2 }$ km
∴ Distance walked by Nandini for home

Question 8.

Asha and Samuel have bookshelves of the same size partly filled with hooks. Asha’s shelf is $\frac { 2 }{ 5 }$ th full and Samuel’s shelf is $\frac { 5 }{ 6 }$ th full. Whose bookshelf is more full? By what fraction?

Solution:

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:

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