A rope is divided in to three different parts. The first part is \( \frac{1}{5} \) of the whole length, the second part is \( \frac{3}{2} \) of the first. The third part is what fraction of the rope?
\( \frac{3}{4} \)
\( \frac{2}{3} \)
\( \frac{1}{3} \)
\( \frac{1}{2} \)