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Q: How do you insert rational numbers between two rational numbers?

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There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational numbers.

There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.

There are more irrational numbers between any two rational numbers than there are rational numbers in total.

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There are countably infinite (aleph-null) rational numbers between any two rational numbers.

There are an infinite number of rational numbers between any two rational numbers.

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Take the average of the two. The average of two rational numbers is (a) rational, and (b) between the two numbers.

Add them together and divide by 2 will give one of the rational numbers between two given rational numbers.

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There are an infinite amount of rational numbers between any two unequal rational numbers.

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