Question

Find the multiplicative inverse of $\frac{3}{17}$ ?

Answer 1

Multiplicative inverse:

The multiplicative inverse of a number is defined as when a number is multiplied by its original number, it gives the product as $1$.

Let us consider the number $a$ then the multiplicative inverse of the number is $\frac{1}{a}$.

According to the question,

The given value is $\frac{3}{17}$

a number is multiplied by a given number, it gives the product as $1$. (i,e. Multiplicative inverse is reciprocal of the given number)

$\frac{3}{17}\times \overline{)\frac{17}{3}}=1$

Therefore, The multiplicative inverse $\frac{3}{17}$ is $\frac{17}{3}$.