how to find rational numbers between two rational numbers
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One easy approach is to take weighted averages.
Suppose the two given rational numbers are x and y.
Then if a and b are any two rational numbers, the number ax + by is rational, too. Furthermore, if a+b=1 then ax+by lies between x and y.
So taking a = 1/2 and b = 1/2 will give one answer.
Also, a = 2/3 and b = 1/3 will give another one. And so on.
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