Answer
$\sum_{k=1}^{m+1}\frac{k}{k+1}$
Work Step by Step
1. Examine the part with the summation,
let $k=m$, we can get a term $\frac{m}{m+1}$
2. let $k=m+1$, we can get a term $\frac{m+1}{m+2}$
which is the same as the second part of the original expression.
3. Thus we can combine the two parts as
$\sum_{k=1}^{m+1}\frac{k}{k+1}$
