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