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) \(\frac{3}{10}\)

Answer:

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) \(\frac{4}{5} \times \frac{12}{7}\)

Answer:

Question 3.

Multiply the following fractions:

Answer:

= \(\frac{5 \times 3}{7 \times 1}=\frac{15}{7}\) = 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 \(\frac{3}{7}\)

Answer:

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.

Answer:

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?

Answer:

Total Number of days = 6

Reading time for one day = 1\(\frac{3}{4}\) hours

Total number of reading 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.

Answer:

Distance covered in 1 litre of petrol = 16 km

Distance covered in 2 \(\frac { 3 }{ 4 }\) litres of petrol = 16 × 2\(\frac { 3 }{ 4 }\)

16 × \(\frac { 11 }{ 4 }\) km

4 × 11 = 44 km

∴ Distance covered = 44 km.

Question 8.

Answer: