Answer
$\frac{61}{20}$
Work Step by Step
$\frac{2}{2+1}+\frac{3}{3+1} +\frac{4}{4+1} + \frac{5}{5+1}$
$= \frac{2}{3}+\frac{3}{4} +\frac{4}{5} + \frac{5}{6}$
$= \frac{8+9}{12}+\frac{24+25}{30} $
$= \frac{17}{12}+\frac{49}{30} $
$= \frac{510+588}{360} $
$= \frac{1098}{360} $
$=\frac{61}{20}$
