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What is the multiplicative inverse of \(\frac{15}{135}\)?(a) \(\frac{15}{135}\)(b) \(\frac{-15}{135}\)(c) 1(d) 9This question was posed to me in an interview.The origin of the question is Properties of Rational Numbers topic in section Rational Numbers of Mathematics – Class 8

Answer»

Right ANSWER is (d) 9

Best explanation: \(\frac{15}{135}\) * x = 1

Therefore \(\frac{1}{9}\) * x = 1

Therefore x = 9

Multiplicative INVERSE of a PARTICULAR number, is the number which gives 1 on multiplication with the number. There is one and only one multiplicative inverse for all numbers.



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