# 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.

Answers:

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

Worksheet on Multiplication of a Whole Number by a Fraction

Worksheet on Properties of Multiplication of Fractional Numbers

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