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. A
   $\frac{5}{18}$
2. B
   $\frac{4}{9}$
3. C
   $\frac{11}{18}$
4. D
   $\frac{17}{36}$