f(a/b) = (a + b) / 2 for co-prime positive integers a, b.
We can compute f(n) easily. f(n) = (1 + n) /2 for positive integer n.
f(1/n) = f(n) = (1 + n) / 2
For general co-prime positive integers a, b,
we can reduce to this simple case above with a procedure like Euclidean method calculating the GCD (a, b).
We can compute f(n) easily. f(n) = (1 + n) /2 for positive integer n.
f(1/n) = f(n) = (1 + n) / 2
For general co-prime positive integers a, b,
we can reduce to this simple case above with a procedure like Euclidean method calculating the GCD (a, b).
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