Let $r$ be a rational no. with $0<r<1$. Then $r$ can be expressed as a sum of reciprocals of finitely many distinct positive integers

Question

Let $r$ be a rational no. with $0<r<1$. Then $r$ can be expressed as a sum of reciprocals of finitely many distinct positive integers . Show that this is true even for $r>1$.

If there is a particular theorem or an article on this please share..