Question

The product of a fractional number and its multiplicative inverse is

• A. $1$
• B. $0$
• C. none
• D. number itself

Answer 1

Answer: (A)

If the product of two numbers is $1$, then each number is known as multiplicative inverse or the reciprocal of one another. To find the multiplicative inverse of a proper or improper fraction, interchange the numerator and denominator. For example, the multiplicative inverse of the fraction $\frac{5}{18}$ is $\frac{18}{5}$.

Now, the product of the fractional number $\frac{5}{18}$ and its multiplicative inverse $\frac{18}{5}$ is as follows:

$\frac{5}{18}\times \frac{18}{5}=1$

Hence, the product of a fractional number and its multiplicative inverse is $1$.