# Hundred Fractions is More Than Enough

Algebra Level 4

$\frac{2}{1} + \frac{2}{3} + \frac{4}{3} + \frac{4}{5} + \frac{6}{5} + \frac{6}{7} + \ldots + \text{ 100}^{\text{th}} \text{ term}$

If the expression above is simplified to the closed form of $\frac m n$ where $m,n$ are coprime positive integers. What is the value of $m+n$?

###### Note - this problem is a part of the sets - 3's & 4's & QuEsTiOnS.
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