Matching Parentheses with Division

[rednebmas]

Examples:

input: (n!/(1+n))

output: frac{n!}{1+n}

 

input: ((n+11)!/(n-k)^(-1))

output: frac{(n+11)!}{(n-k)^(-1)}

 

input: (9/10)

output: frac{9}{10}

 

The following regex works if there are no sub parentheses.

\(([^\/\)]*)\/([^\)]*)\)

 

The following does matching parentheses

@\((([^()]++|\((?:[^()]++|(?R))+\))+)\)@

 

I just can not figure out how to "combine them". If you would more examples let me know.

 

[sasa]

<?php
$test = '((n+11)!/(n-k)^(-1))';
$test = explode('/', substr($test, 1, -1));
$out = 'frac{'.  implode('}{', $test).'}';
echo $out;
?>

[rednebmas]

Sorry I didn't make this clear before. The division sign will not always be the only division sign. There could be multiple signs and you don't always want to put it into frac{}{}.

For example ((n+11)!/(n-k)^(-1))+(11)/(2)

your code would output: frac{(n+11)!}{(n-k)^(-1))+(11)}{(2}

what I would like: frac{(n+11)!}{(n-k)^(-1)}+(11)/(2)