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 on Fraction.

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Worksheet on Multiplication of a Whole Number by a Fraction

Worksheet on Division of Fractions.

Worksheet on Simplification of Fractions.

Worksheet on Word Problems on Fractions.

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