## MP Board Class 6th Maths Solutions Chapter 7 Fractions Ex 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:

Ribbon bought by Sarita = \(\frac{2}{5}\) m

And Ribbon bought by Lalita = \(\frac{3}{4}\) m

Therefore, they bought 1\(\frac{3}{20}\) m of ribbon.

Question 3.

Naina was given 1\(\frac{1}{22}\) 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:

Cake taken by Naina = 1\(\frac{1}{2}\) piece

And cake taken by Najma = 1\(\frac{1}{3}\) piece

Total cake taken = \(1 \frac{1}{2}+1 \frac{1}{3}=\frac{3}{2}+\frac{4}{3}\)

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 first part = \(\frac{1}{4}\) metre

Therefore, the length of remaining part is \(\frac{5}{8}\) metre

Question 7.

Nandini’s house is \(\frac{9}{10}\) metre km from her school. She 10

walked some distance and then took a bus for \(\frac{1}{2}\) metre km to reach the school. How far did she walk?

Solution:

Total distance between school and house = \(\frac{9}{10}\) km

Distance covered bv bus = \(\frac{1}{2}\) km

Therefore, distance covered by walking is \(\frac{2}{5}\) 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 bookshelf is more covered than Samuel.

Difference \(=\frac{25}{30}-\frac{12}{30}=\frac{13}{30}\)

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: