Explanation:
Step -1: Rational numbers and their reciprocals.
A rational number is generally in
q
p
form, where p and q are integers and q
=0
To obtain the reciprocal of a general rational number, we get, reciprocal of
q
p
=
p
q
Step -2: Product of rational number and its reciprocal.
The product of rational number
q
p
and its reciprocal
p
q
is,
q
p
×
p
q
=1
For example, let p = 5 and q = 6
∴
6
5
×
5
6
=1
Hence, The product of a rational number and its reciprocal is 1.