Rational numbers are the numbers expressed as the Ratio of the two integers. The basic rational number is expressed in the form of (p/q), where 'p' and 'q' are two integers. Let us see some example of Rational Numbers:-
2/3,
1/2,
11/17.
Reciprocal of the rational numbers can be defined as the reverse of the rational numbers, which means the numerator is placed in place of denominator and vice-versa. The main difference between rational number and reciprocal of rational number is that the numerator of rational number becomes the denominator of reciprocal and the denominator of the rational number becomes the numerator of the reciprocal.
To get a reciprocal of a rational number just divide the original number by '1'. Let 'p/q' be any rational number then 1/ (p/q) is the reciprocal that is 'q/p' is the reciprocal of given rational number.
Let us take some examples:
2/3 = 1/ (2/3) = 3/2,
7/2 = 1/ (7/2) = 2/7.
So, the reciprocal of any rational number is just the opposite of that rational number.