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)

(i) We have,

We know that,

A proper fraction is that fraction in which denominator of the fraction is greater than the numerator of the fraction.

Also,

Improper fraction is that in which numerator is greater than its denominator

And,

Whole numbers are collection of all positive integers including 0.

Now,

Reciprocal of =

Hence,

It is a improper fraction

(ii) We have,

Reciprocal of =

Hence,

It is a improper fraction

(iii) We have,

Reciprocal of =

Hence,

It is a proper fraction

(iv) We have,

Reciprocal of =

Hence,

It is a proper fraction

(v) We have,

Reciprocal of =

Hence,

It is a proper fraction

(vi) We have,

Reciprocal of =

Hence,

It is a whole number

(vii) We have,

Reciprocal of =

Hence,

It is a whole number