# NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.3

These NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Ex 2.3 Questions and Answers are prepared by our highly skilled subject experts.

## NCERT Solutions for Class 7 Maths Chapter 2 Fractions and Decimals Exercise 2.3

Question 1.
Find:
(i) $$\frac{1}{4}$$ of (a) $$\frac{1}{4}$$, (b) $$\frac{3}{5}$$, (c) $$\frac{4}{3}$$
(ii) $$\frac{1}{7}$$ of (a) $$\frac{2}{9}$$, (b) $$\frac{6}{5}$$, (c) $$\frac{3}{10}$$

Question 2.
Multiply and reduce to lowest form (if possible)
(i) $$\frac { 2 }{ 3 }$$ × 2 $$\frac { 2 }{ 3 }$$
(ii) $$\frac{2}{7} \times \frac{7}{9}$$
(iii) $$\frac{3}{8} \times \frac{6}{4}$$
(iv) $$\frac{9}{5} \times \frac{3}{5}$$
(v) $$\frac{1}{3} \times \frac{15}{8}$$
(vi) $$\frac{11}{2} \times \frac{3}{10}$$
(vii) $$\frac{4}{5} \times \frac{12}{7}$$

Question 3.
Multiply the following fractions:

= $$\frac{5 \times 3}{7 \times 1}=\frac{15}{7}$$ = 2$$\frac{1}{7}$$

Question 4.
Which is greater?
(i) $$\frac{2}{7}$$ of $$\frac{3}{4}$$or $$\frac{3}{5}$$ of $$\frac{5}{8}$$
(ii) $$\frac{1}{2}$$ of $$\frac{6}{7}$$ or $$\frac{2}{3}$$ of $$\frac{3}{7}$$

Question 5.
Saili plants 4 saplings in a row in his garden. The distance between two $$\frac{3}{4}$$ adjacent saplings is m. Find the distance between the first and the last sapling.

Let A, B, C and D be the four saplings planted in a row.
Distance between two adjacent saplings $$\frac{3}{4}$$m
∴ Distance between the first and the last saplmg = AD = 3 × AB
3 $$\frac{3}{4}=\frac{3 \times 3}{4}=\frac{9}{4}$$m = 2$$\frac{3}{4}$$m
Distance = 2 $$\frac{1}{4}$$ m

Question 6.
Lipika reads a book for 1$$\frac{3}{4}$$ hours every day. She reads the entire book in 6 days.
How many hours in all were required by her to read the book?
Total Number of days = 6
Reading time for one day = 1$$\frac{3}{4}$$ hours
= 6 × 1$$\frac{3}{4}$$ hours
6 × 7 $$\frac{7}{4}=\frac{6 \times 7}{4}=\frac{3 \times 7}{2}=\frac{21}{2}$$
= 10 $$\frac { 1 }{ 2 }$$ hours
Total time taken to read the book
= 10 $$\frac { 1 }{ 2 }$$ hours

Question 7.
A car runs 16 km using one litre of petrol. How much distance will it cover using 2$$\frac { 3 }{ 4 }$$ litres of petrol.
Distance covered in 2 $$\frac { 3 }{ 4 }$$ litres of petrol = 16 × 2$$\frac { 3 }{ 4 }$$
16 × $$\frac { 11 }{ 4 }$$ km