Worksheet on Multiplicative Inverse

We will practice the questions given in the worksheet on multiplicative inverse of a fractional number. 

We know, to get the reciprocal of a given fraction, we interchange the numerator and the denominator and if we multiply the reciprocals, the product is one.

I. Find the reciprocal of the following:

(i) \(\frac{2}{3}\)

(ii) \(\frac{5}{12}\)

(iii) \(\frac{1}{12}\)

(iv) \(\frac{1}{18}\)

(v) 1

(vi) 8

(vii) 1\(\frac{2}{3}\)

(viii) 33\(\frac{1}{3}\)

(ix) 17

II. Fill in the blanks:

(i) \(\frac{1}{27}\) ×  ____ = 1

(ii) \(\frac{42}{1}\) × \(\frac{1}{.......}\) = 1

(iii) Reciprocal of 9/4 is  ____ 

(iv) Multiplicative inverse of 28 is  ____

(v) Multiplicative inverse of 31 is  ____

(vi) The reciprocal of ____ is equal to itself.

(vii) The reciprocal of whole number will always be a ________ fraction.

(viii) The multiplicative inverse of mixed number will always be a ________ fraction.

III. State whether these are reciprocals of each other:

(i) \(\frac{1}{2}\), 2

(ii) \(\frac{3}{2}\), \(\frac{3}{2}\)

(iii) \(\frac{5}{9}\), \(\frac{9}{5}\)

(iv) \(\frac{5}{11}\), \(\frac{4}{11}\)

(v) 5\(\frac{1}{3}\), \(\frac{16}{3}\)

(vi) \(\frac{2}{3}\), 1\(\frac{1}{2}\)

Answers for the worksheet on multiplicative inverse of a fractional number are given below.


I. (i) \(\frac{3}{2}\)

(ii) \(\frac{12}{5}\)

(iii) 12

(iv) 18

(v) 1

(vi) \(\frac{1}{8}\)

(vii) \(\frac{3}{5}\)

(viii) \(\frac{3}{100}\)

(ix) \(\frac{1}{17}\)

II. (i) 27

(ii) 42

(iii) \(\frac{4}{9}\)

(iv) \(\frac{1}{28}\)

(v) \(\frac{1}{31}\)

(vi) 1

(vii) unit

(viii) proper

III. (i) yes

(ii) no

(iii) yes

(iv) no

(v) no

(vi) yes

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