Am I missing something, or is a simple regex all that is needed? 
my @values = map { 1 / $_ } (2,3,6,7,9,11,13,14);

for (@values) {
    /\.\d*?(\d+?)\1/;
    print "$_: $1\n"
}
__END__
0.5: 
0.333333333333333: 3
0.166666666666667: 6
0.142857142857143: 142857
0.111111111111111: 1
0.0909090909090909: 09
0.0769230769230769: 076923
0.0714285714285714: 714285

[download]

--shmem 

_($_=" "x(1<<5)."?\n".q·/)Oo.  G°\        /
                              /\_¯/(q    /
----------------------------  \__(m.====·.(_("always off the crowd"))."·
");sub _{s./.($e="'Itrs `mnsgdq Gdbj O`qkdq")=~y/"-y/#-z/;$e.e && print}

In reply to Re: Recurring Cycle of Fractions by shmem
in thread Recurring Cycle of Fractions by Limbic~Region

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