\begin{align*} & 1 + \frac{1}{\frac{4}{5}} + \frac{1}{\frac{3}{5}} + \frac{1}{\frac{2}{5}} + \frac{1}{\frac{1}{5}} \\ & = 1 + \frac{5}{4} + \frac{5}{3} + \frac{5}{2} + \frac{5}{1} \\ & = \frac{12 + 15 + 25 + 30 + 60}{12} \\ & = \frac{142}{12} = 11.833 \end{align*}