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) [latex]\frac { 5 }{ 8 }[/latex]
(ii) [latex]\frac { 8 }{ 7 }[/latex]
(iii) [latex]\frac { 13 }{ 7 }[/latex]
(iv) [latex]\frac { 3 }{ 4 }[/latex]
Solution:
i) Reciprocal of [latex]\frac { 5 }{ 8 }[/latex] = [latex]\frac { 8 }{ 5 }[/latex]
ii) Reciprocal of [latex]\frac { 8 }{ 7 }[/latex] = [latex]\frac { 7 }{ 8 }[/latex]
iii) Reciprocal of [latex]\frac { 13 }{ 7 }[/latex] = [latex]\frac { 7 }{ 13 }[/latex]
iv) Reciprocal of [latex]\frac { 3 }{ 4 }[/latex] = [latex]\frac { 4 }{ 3 }[/latex]
Question 2.
Find
(i) 18 ÷ [latex]\frac { 3 }{ 4 }[/latex]
(ii) 8 ÷ [latex]\frac { 7 }{ 3 }[/latex]
(iii) 3 ÷ 2[latex]\frac { 1 }{ 3 }[/latex]
(iv) 5 ÷ 3[latex]\frac { 4 }{ 7 }[/latex]
Solution:
Question 3.
Find
(i) [latex]\frac { 2 }{ 5 }[/latex] ÷ 3
(ii) [latex]\frac { 7 }{ 8 }[/latex] ÷ 5
(iii) [latex]\frac { 4 }{ 9 }[/latex] ÷ [latex]\frac { 4 }{ 5 }[/latex]
Solution:
Question 4.
Deepak can paint [latex]\frac { 2 }{ 5 }[/latex] 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 = [latex]\frac { 2 }{ 5 }[/latex] th
Total work can be done in = 1 ÷ [latex]\frac { 2 }{ 5 }[/latex] days
= [latex]\frac { 2 }{ 5 }[/latex] = [latex]1 \times \frac{5}{2}=\frac{1 \times 5}{2}=\frac{5}{2}=2 \frac{1}{2}[/latex] days.