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Question

How to find out the rational number of integers between 2 rational numbers only through the means of integers and LCM and not through midpoints.

Eg: Find 3 rational numbers between 0 and 1 only through the means of integers and LCM

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Solution

A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
So there are infintely man rational numbers between any two integers. We could take any fraction between the given integers for this purpose.
So for obtaining rational numbers between 0 and 1. We could take 1/2, 1/3, 1/4, 1/5. And as long as the number is expressed in the form of a fraction, it is rational.

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