How do you find two fractions between 2 and 3?

1 Answer
georgef
Nov 5, 2016

If you have two rational numbers, x and y, the number (x+y)/2 is rational and satisfies x < (x+y)/2 < y

Explanation:

The numbers 2 and 3 are rational, so the number (2+3)/2=5/2 is also rational and between 2 and 3. But again, the number (2+(5/2))/2=((4+5)/2)/2=(9/2)/2=9/4 is between 2 and 5/2, So we have 2 < 9/4 < 5/2 < 3, and the two fractions are 9/4 and 5/2

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