AP State Syllabus AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 4 Textbook Questions and Answers.

## AP State Syllabus 7th Class Maths Solutions 2nd Lesson Fractions, Decimals and Rational Numbers Exercise 4

Question 1.

Find the reciprocal of each of the following fractions.

(i) \(\frac { 5 }{ 8 }\)

(ii) \(\frac { 8 }{ 7 }\)

(iii) \(\frac { 13 }{ 7 }\)

(iv) \(\frac { 3 }{ 4 }\)

Solution:

i) Reciprocal of \(\frac { 5 }{ 8 }\) = \(\frac { 8 }{ 5 }\)

ii) Reciprocal of \(\frac { 8 }{ 7 }\) = \(\frac { 7 }{ 8 }\)

iii) Reciprocal of \(\frac { 13 }{ 7 }\) = \(\frac { 7 }{ 13 }\)

iv) Reciprocal of \(\frac { 3 }{ 4 }\) = \(\frac { 4 }{ 3 }\)

Question 2.

Find

(i) 18 ÷ \(\frac { 3 }{ 4 }\)

(ii) 8 ÷ \(\frac { 7 }{ 3 }\)

(iii) 3 ÷ 2\(\frac { 1 }{ 3 }\)

(iv) 5 ÷ 3\(\frac { 4 }{ 7 }\)

Solution:

Question 3.

Find

(i) \(\frac { 2 }{ 5 }\) ÷ 3

(ii) \(\frac { 7 }{ 8 }\) ÷ 5

(iii) \(\frac { 4 }{ 9 }\) ÷ \(\frac { 4 }{ 5 }\)

Solution:

Question 4.

Deepak can paint \(\frac { 2 }{ 5 }\) of a house in one day. lfhe continues working at this rate, how many days will he take to paint the whole house?

Amount of work done by deepak in 1 day = \(\frac { 2 }{ 5 }\) th

Total work can be done in = 1 ÷ \(\frac { 2 }{ 5 }\) days

= \(\frac { 2 }{ 5 }\) = \(1 \times \frac{5}{2}=\frac{1 \times 5}{2}=\frac{5}{2}=2 \frac{1}{2}\) days.