I have given a fraction in the form of $p/q$ , i want to express the given fraction as sum of series which is in the form of $1/x$ and $x$ is odd. i.e
$$ p/q = 1/x + 1/y+ 1/z+1/l/s $$ such that denominator is an odd number.
One trival way is to express $p/q = 1/q+1/q+1/q+....$($p$ times ). but i want length of the series to less than $p$.
How to do that ?