# Exercise 2.4

Question 1

Find :

(i)

Sol :

= 16

(ii)

Sol :

(iii)

Sol :

(iv)

Sol :

(v)

Sol :

(vi)

Sol :

Question 2

Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.

(i)   (ii)   (iii)

(iv)   (v)   (vi)

(vii)

Sol :

Note : A proper fraction is the fraction which has its denominator greater than its numerator while improper fraction is the fraction which has its numerator greater than its denominator. Whole numbers are a collection of all positive integers including 0.

(i)

Reciprocal

Therefore, it is an improper fraction.

(ii)

Reciprocal

Therefore, it is an improper fraction.

(iii)

Reciprocal

Therefore, it is an proper fraction.

(iv)

Reciprocal

Therefore, it is an proper fraction.

(v)

Reciprocal

Therefore, it is an proper fraction.

(vi)

Reciprocal

Therefore, it is a whole number.

(vii)

Reciprocal

Therefore, it is a whole number.

Question 3

Find :

(i) (ii) (iii) (iv) (v)  (vi)

Sol :

(i)

(ii)

(iii)

(iv)

(v)

(vi)

Question 4

Find :

(i) (ii)

(iii) (iv)

(v) (vi)

(vii) (viii)

Sol :

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)