use Junk;do
 11 chars.. but that could be golfed down to use J;d  7 chars ;)
blokhead's solutions look neat, but they hog my cpu... (with 2355/12344  still not finished in 3/4 hour ;)
#!/usr/bin/perl l
pop=~m/;($f,$g)=($`,$');sub d{int($_[1]/$_[0]+1)}sub
g{($x,$y)=@_;($x,$y)=($y,$x% $y)while$y;$x} sub re{($p
,$e,$r,$l)=@_;($p,$l)=($p*$l$e*$r,$e*$l);$g=g($p,$l);
for($p,$l){$_/=$g};($p,$l)}while($f>1){push@o,"1/".d(#
$f,$g);($f,$g)=re($f,$g,1,d($f,$g));}print join' + ',#
@o,"$f/$g";# ungolfed and thus not for production use!
way too long...
<update>
golfed down a bit... (198 chars, counting newlines).
($z,$n)=($_=pop)=~/(.+)\/(.+)/;$s='==';for(;;){$m=int($n/$z+1);$_
.=" $s 1/".($z==1?$n:$m);$z<=1&&last;($z,$n)=($z*$m$n,$m*$n);($x
,$y)=($z,$n);($x,$y)=($y,$x%$y)while$y;$z/=$x;$n/=$x;$s='+'}print
It computes egyptian fractions like this
qwurx [shmem] ~> perl l egy.pl 2355/12344
2355/12344 == 1/6 + 1/42 + 1/3282 + 1/15755059 + 1/744665636525384
in no time...
</update>
shmem
_($_=" "x(1<<5)."?\n".qˇ/)Oo. G°\ /
/\_¯/(q /
 \__(m.====ˇ.(_("always off the crowd"))."ˇ
");sub _{s./.($e="'Itrs `mnsgdq Gdbj O`qkdq")=~y/"y/#z/;$e.e && print}
