Answer
$\displaystyle \frac{761}{140}$
Work Step by Step
$\displaystyle \sum_{i=1}^{8}\frac{2}{i}=\frac{2}{1}+\frac{2}{2}+\frac{2}{3}+\frac{2}{4}+\frac{2}{5}+\frac{2}{6}+\frac{2}{7}+\frac{2}{8}$
$=2+1+\displaystyle \frac{2}{3}+\frac{1}{3}+\frac{1}{2}+\frac{1}{4}+\frac{2}{5}+\frac{2}{7}$
$=\displaystyle \frac{840+420+280+140+210+105+168+120}{420}$
$=\displaystyle \frac{2283}{420}$
$=\displaystyle \frac{761}{140}$
