There is no rational number strictly between 1 and 1, because they are the same number.
Explanation:
Rational numbers are numbers that can be expressed as a fraction p/q, where p and q are integers and q is not zero. The number 1 can be expressed as the fraction 1/1, 2/2, 3/3, and so on. Since the question asks for a rational number between 1 and 1, we are essentially looking for a number strictly larger than 1 and strictly smaller than 1 at the same time. This is impossible.
Therefore, there are no numbers that fulfill the condition of being simultaneously larger and smaller than 1.