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How to Find a Rational Number Between 1 and 1?

Published in Rational Numbers 1 min read

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.

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