Question 118
Prove that for any two positive integers $m$ and $n$ with $(m, n) \neq (1, 1)$ the value of the expression
$$
\frac{1}{m} + \frac{1}{m+1} + \dots + \frac{1}{m+n-1}
$$
is not an integer.
$$
\frac{1}{m} + \frac{1}{m+1} + \dots + \frac{1}{m+n-1}
$$
is not an integer.