Question

If $y$ be the reciprocal of rational number $x$, then the reciprocal of $y$ will be

• A. $x$
• B. $y$
• C. $\frac{x}{y}$
• D. $\frac{y}{x}$

Answer 1

The correct option is A

$x$

Explanation for the correct option:

Compute the reciprocal:

We know that for reciprocal of any number,

$r\left(a\right)=\frac{1}{a}$

Therefore, it is given that $y$ be the reciprocal of rational number $x$,

$y=\frac{1}{x}$

Thus, the reciprocal of $y$ will be,

$r\left(y\right)=\frac{1}{{\displaystyle \frac{1}{x}}}$

$=x$

Hence, option $A$ is the correct answer.