Reciprocal Of Sum Of Reciprocals

Algebra Level 4

$\large\frac{1}{\frac{1}{2003}+\frac{1}{2004}+\frac{1}{2005}+\frac{1}{2006}+\frac{1}{2007}+\frac{1}{2008}+\frac{1}{2009}}$

Find the integer part of the expression above.