# HBSE 6th Class Maths Solutions Chapter 7 Fractions Ex 7.6

Haryana State Board HBSE 6th Class Maths Solutions Chapter 7 Fractions Ex 7.6 Textbook Exercise Questions and Answers.

## Haryana Board 6th Class Maths Solutions Chapter 7 Fractions Exercise 7.6

Question 1.
(a) Solve :

Solution:

Question 2.
Sarita bought $$\frac{2}{5}$$ m of ribbon and Lalita $$\frac{3}{4}$$ m of ribbon. What was the total length of the ribbon they bought ?
Solution:
Ribbon bought by Sarita = $$\frac{2}{5}$$ m
Ribbon bought by Lalita = $$\frac{3}{4}$$ m
Total length of ribbon = $$\frac{2}{5}+\frac{3}{4}=\frac{2 \times 4+3 \times 5}{20}$$
= $$\frac{8+15}{20}=\frac{23}{20}=1 \frac{3}{20} \mathrm{~m}$$

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 given to both of them.
Solution:
Cake given to Naina = 1$$\frac{1}{2}$$ = $$\frac{3}{2}$$
Cake giveen to Najma = 1$$\frac{1}{3}$$ = $$\frac{4}{3}$$
∴ Total amount of cake given to both of them
= $$\frac{3}{2}+\frac{4}{3}=\frac{3 \times 3+2 \times 4}{6}$$
= $$\frac{9+8}{6}=\frac{17}{6}=2 \frac{5}{6}$$

Question 4.
Fill in the boxes:

Solution:

Question 5.

Solution:

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 a piece of wire = $$\frac{7}{8}$$ m
Length of one piece = $$\frac{1}{4}$$ m
∴ Length of the other piece = $$\frac{7}{8}-\frac{1}{4}=\frac{7-2}{8}=\frac{5}{8}$$m

Question 7.
Nandni’s house is $$\frac{9}{10}$$ km. from her school. She walked some distance and then took a bus for $$\frac{1}{2}$$ km upto the school. How far did she walk ?
Solution:
Total distance between house and school = $$\frac{9}{10}$$ km
Distance covered by bus = $$\frac{1}{2}$$ km
∴ Distance walked by her = $$\frac{9}{10}-\frac{1}{2}=\frac{9-5}{10}$$
= $$\frac{4}{10}=\frac{2}{5}$$ km.

Question 8.
Asha and Samuel have bookshelves of the same size. Asha’s shelf is $$\frac{5}{6}$$ full of books and Samuel’s shelf is $$\frac{2}{5}$$ full. Whose bookshelf is more full ? By what fraction?
Asha’s shelf is $$\frac{5}{6}$$ full of books,
Samuel’s shelf is $$\frac{2}{5}$$ full of books
Now, $$\frac{5}{6}-\frac{2}{5}=\frac{5 \times 5-2 \times 6}{30}=\frac{25-12}{30}=\frac{13}{30}$$
∴ Asha’s bookshelf is more full by $$\frac{13}{30}$$ fraction.
Jaydev 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 ?
Time taken by Jaydev to walk across the school ground = $$2 \frac{1}{5}=\frac{11}{5}$$ minutes
Time taken by Rahul to do the same = $$\frac{7}{4}$$ minutes
Now, $$\frac{11}{5}-\frac{7}{4}=\frac{11 \times 4-5 \times 7}{20}=\frac{44-35}{20}=\frac{9}{20}$$
∴ Rahul takes less time by $$\frac{9}{20}$$ fraction.