Question 14
If we write $\dfrac{2013}{1990}$ in the form
$$a+\frac{1}{b+\frac{1}{c+\frac{1}{d+\frac{1}{e}}}},$$
where $a,b,c,d$ and $e$ are positive integers, what is the value of $a+b+c+d+e$?
$$a+\frac{1}{b+\frac{1}{c+\frac{1}{d+\frac{1}{e}}}},$$
where $a,b,c,d$ and $e$ are positive integers, what is the value of $a+b+c+d+e$?