In a certain office, \(\frac{1}{3}\) of the workers are women, \(\frac{1}{2}\) of the women are married and \(\frac{1}{3}\) of the married women have children. If \(\frac{3}{4}\) of the men are married and \(\frac{2}{3}\) of the married men have children, what part of the workers are without children?
1
\(\frac{5}{18}\)
2
\(\frac{4}{9}\)
3
\(\frac{11}{18}\)
4
\(\frac{17}{38}\)