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

Worksheet on Multiplication on Fraction.

Worksheet on Multiplication of Fractional Number by a Whole Number

Worksheet on Multiplication of a Fraction by Fraction

Worksheet on Multiplication of a Whole Number by a Fraction

Worksheet on Properties of Multiplication of Fractional Numbers

Worksheet on Division of Fractions.

Worksheet on Simplification of Fractions.

Worksheet on Word Problems on Fractions.

Math Homework Sheets

5th Grade Math Problems

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