jimt,
Obfu is not my thing, but I do love interesting math problems. The following is more of a golf (156) than an obfu: 
use Math::Pari 'lcm';my($n,$d)=split/\//,shift;sub p{print"1/$_[0] "}w
+hile(1){my
$u=int$d/$n+1;p$u;my $l=lcm$d,$u;$n=$n*$l/$d-$l/$u;$d=$l;p($d),die$/if
+$n==1}

[download]
Golfing with strictures and warnings is a handicap so (146): 
($n,$d)=split/\//,shift;sub p{print"1/$_[0] "}while(1){use Math::Pari
lcm;$u=int$d/$n+1;p$u;$l=lcm$d,$u;$n=$n*$l/$d-$l/$u;$d=$l;p($d),die$/i
+f$n==1}

[download]
Since I am not a golfer either, anyone interested in the starting code can use it to improve things.
<Reveal this spoiler or all in this thread>

Cheers - L~R

In reply to Re: Egyptian fractions (Golf Anyone?) by Limbic~Region
in thread Egyptian fractions by jimt

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.