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.
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 NumbersWorksheet on Division of Fractions.
Worksheet on Simplification of Fractions.
Worksheet on Word Problems on Fractions.
5th Grade Math Problems
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