[ Ordinary fractions ]

How many representations does the fraction $\frac{2 n+1}{n(n+1)}$ admit as a sum of two positive fractions with denominators $n$ and $n+1$?
$\frac{2 n+1}{n(n+1)}=\frac{1}{n}+\frac{1}{n+1}$. Since both terms are the smallest fractions with the specified denominators, there are no other representations

## Answer

One.