\(\frac{\frac{1}{2003}+\frac{1}{2004}+\frac{1}{2005}}{\frac{2}{2003}+\frac{2}{2004}+\frac{2}{2005}}\)
= \(\frac{\frac{1}{2003}+\frac{1}{2004}+\frac{1}{2005}}{\frac{1}{2003}.2+\frac{1}{2004}.2+\frac{1}{2005}.2}\)
= \(\frac{1.\left(\frac{1}{2003}+\frac{1}{2004}+\frac{1}{2005}\right)}{2.\left(\frac{1}{2003}+\frac{1}{2004}+\frac{1}{2005}\right)}\)
\(=\frac{1}{2}\)