AP State Syllabus AP Board 7th Class Maths Solutions Chapter 2 Fractions, Decimals and Rational Numbers Ex 2 Textbook Questions and Answers.
AP State Syllabus 7th Class Maths Solutions 2nd Lesson Fractions, Decimals and Rational Numbers Exercise 2
Question 1.
Multiply the following. Write the answer as a mixed fraction.
(i) [latex]\frac { 3 }{ 6 }[/latex] x 10
(ii) [latex]\frac { 1 }{ 3 }[/latex] x 4
(iii) [latex]\frac { 6 }{ 7 }[/latex] x 2
(iv) [latex]\frac { 2 }{ 9 }[/latex] x 5
(v) 15 x [latex]\frac { 2 }{ 5 }[/latex]
Solution:
(i) [latex]\frac { 3 }{ 6 }[/latex] x 10 = [latex]\frac { 30 }{ 6 }[/latex] = 5 i.e., integer part 5; fraclon part = 0
(ii) [latex]\frac { 1 }{ 3 }[/latex] x 4 = [latex]\frac { 4 }{ 3 }[/latex] = 1[latex]\frac { 1 }{ 3 }[/latex]
(iii) [latex]\frac { 6 }{ 7 }[/latex] x 2 = [latex]\frac { 12 }{ 7 }[/latex] = 1[latex]\frac {5 }{ 7 }[/latex]
(iv) [latex]\frac { 2 }{ 9 }[/latex] x 5 = [latex]\frac { 10 }{ 9 }[/latex] = 1[latex]\frac { 1 }{ 9 }[/latex]
(v) 15 x [latex]\frac { 2 }{ 5 }[/latex] = [latex]\frac { 30 }{ 5 }[/latex] = 6 i.e., integer part = 6; fraction part = o
Question 2.
Shade: (i) [latex]\frac { 1 }{ 2 }[/latex] of the circles in box (a)
(ii) [latex]\frac { 2 }{ 3 }[/latex] of the triangles in box (b)
(iii) [latex]\frac { 3 }{ 5 }[/latex]of the rectangles in box (c)
(iv) [latex]\frac { 3 }{ 4 }[/latex] of the circles in box (d)
Solution:
Question 3.
Find (i) [latex]\frac { 1 }{ 2 }[/latex] of 12 (ii) [latex]\frac { 2 }{ 5 }[/latex] of 15
Solution:
(i) [latex]\frac { 1 }{ 2 }[/latex] of 12 = [latex]\frac { 1 }{ 2 }[/latex] x 12 = [latex]\frac { 12 }{ 3 }[/latex] = 4
(ii) [latex]\frac { 2 }{ 5 }[/latex] of 15 = [latex]\frac { 2 }{ 5 }[/latex] x 15 = [latex]\frac { 30 }{ 5 }[/latex] = 6