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#!/usr/bin/perl
use strict;
...
    --$n;
    return ($cache{$n} ||= fib($n)) + ($cache{$n - 1} ||= fib($n - 1))
+;
}

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Fibonnaci Fun

...
135301852344706746049 / 83621143489848422977 = 1.618033988749894848204
+58683436563811772
218922995834555169026 / 135301852344706746049 = 1.61803398874989484820
+458683436563811772
354224848179261915075 / 218922995834555169026 = 1.61803398874989484820
+458683436563811772