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

**Ex 7.6 Class 6 Maths Question 1.**

**Solve**

**Solution:**

**Ex 7.6 Class 6 Maths Question 2.**

**Sarita bought 2/5 metre of ribbon and Lalita 3/4 metre of ribbon. What is the total length of the ribbon they bought?**

**Solution:**

Length of ribbon bought by Sarita = 2/5 metre

Length of ribbon bought by Lalita = 3/4 metre

∴ Length of ribbon bought by Sarita and Lalita

**Ex 7.6 Class 6 Maths Question 3.**

**Naina was given 1 1/2 piece of cake and Najma was given 1 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 1/1/2

Piece of cake given to Najma = 1 1/1/3

Hence the total amount of piece given to both = 2 5/6.

**Ex 7.6 Class 6 Maths Question 4.**

**Fill in the boxes:**

**Solution:**

Here, missing number is 1/4 more than 5/8 .

Here, missing number is 1/2 more than 1/5 .

Here, missing number is 1/6 less than 1/2.

**Ex 7.6 Class 6 Maths Question 5.**

**Complete the addition-subtraction box.**

**Solution:**

Thus the box may be completed as follows:

**Ex 7.6 Class 6 Maths Question 6.**

**A piece of wire 7/8 metre long broke into two pieces. One piece was 1/4 metre long. How long is the other piece?**

**Solution:**

Total length of the wire = 7/8 metre

Length of one piece of wire = 1/4 metre

∴ Length of the other piece = 7/8 – 1/4

LCM of 8 and 4 = 8

Hence, the length of the other piece = 5/8 metre.

**Ex 7.6 Class 6 Maths Question 7.**

**Nandini’s house is 9/10 km from her school. She walked some distance and then took a bus for 1/2 km to reach the school. How far did she walk?**

**Solution:**

Total distance from house to school = 9/10 km.

Distance travelled by Nandini by bus = 1/2 km

∴ Distance travelled by her on foot

Hence, the distance travelled by her on foot = 2/5km.

**Ex 7.6 Class 6 Maths Question 8.**

**Asha and Samuel have bookshelves of the same size partly filled with books. Asha’s shelf is 5/6 th full and Samuel’s shelf is 2/5 th full. Whose bookshelf is more full? By what fraction?**

**Solution:**

Asha’s shelf is 5/6 th full

and Samuel’s shelf is 2/5 th full

Comparing 5/6 and 2/5

LCM of 6 and 5 = 30

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

Hence, 13/30th fraction is more full of Asha’s shelf.

**Ex 7.6 Class 6 Maths Question 9.**

**Jaidev takes 2 1/5 minutes to walk across the school ground. Rahul takes 7/4 minutes to do the same. Who takes less time and by what fraction?**

**Solution:**

Jaidev takes 2 1/5 minutes 5

Rahul takes 2 7/4 minutes

Comparing 2 1/5 minutes and 7/4 minutes

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

Hence, Rahul takes 9/20 minutes less to across the school ground.