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) \(\frac { 3 }{ 6 }\) x 10
(ii) \(\frac { 1 }{ 3 }\) x 4
(iii) \(\frac { 6 }{ 7 }\) x 2
(iv) \(\frac { 2 }{ 9 }\) x 5
(v) 15 x \(\frac { 2 }{ 5 }\)
Solution:
(i) \(\frac { 3 }{ 6 }\) x 10 = \(\frac { 30 }{ 6 }\) = 5 i.e., integer part 5; fraclon part = 0
(ii) \(\frac { 1 }{ 3 }\) x 4 = \(\frac { 4 }{ 3 }\) = 1\(\frac { 1 }{ 3 }\)
(iii) \(\frac { 6 }{ 7 }\) x 2 = \(\frac { 12 }{ 7 }\) = 1\(\frac {5 }{ 7 }\)
(iv) \(\frac { 2 }{ 9 }\) x 5 = \(\frac { 10 }{ 9 }\) = 1\(\frac { 1 }{ 9 }\)
(v) 15 x \(\frac { 2 }{ 5 }\) = \(\frac { 30 }{ 5 }\) = 6 i.e., integer part = 6; fraction part = o
Question 2.
Shade: (i) \(\frac { 1 }{ 2 }\) of the circles in box (a)
(ii) \(\frac { 2 }{ 3 }\) of the triangles in box (b)
(iii) \(\frac { 3 }{ 5 }\)of the rectangles in box (c)
(iv) \(\frac { 3 }{ 4 }\) of the circles in box (d)
Solution:
Question 3.
Find (i) \(\frac { 1 }{ 2 }\) of 12 (ii) \(\frac { 2 }{ 5 }\) of 15
Solution:
(i) \(\frac { 1 }{ 2 }\) of 12 = \(\frac { 1 }{ 2 }\) x 12 = \(\frac { 12 }{ 3 }\) = 4
(ii) \(\frac { 2 }{ 5 }\) of 15 = \(\frac { 2 }{ 5 }\) x 15 = \(\frac { 30 }{ 5 }\) = 6