Many fractions
Algebra
Level
4
\[\large \frac{1}{1+2}+ \frac{1}{1+2+3}+\cdots+ \frac{1}{1+2+3+\dots+2016}\]
The expression above is in form of \(\dfrac{a}{b}\), where \(a\) and \(b\) are coprime positive integers, find \( a+b\).
by
Tommy Li