Question

The reciprocal of a positive rational number is _____.

Answer 1

Find the reciprocal.

Rational number: a rational number is a number that can be expressed as a fraction of two integers, that is in the form ${\displaystyle \frac{p}{q}}$, where $p,q\in \mathbb{R}$ and $q\ne 0$

Let ${\displaystyle \frac{p}{q}}$ be a positive rational number.

So Its reciprocal is ${\displaystyle \frac{q}{p}}$. which is also a positive rational number.

Hence, the reciprocal of a positive rational number is a positive rational number .