In an office, \(\frac{1}{4}\) of the employees are women, \(\frac{2}{3}\) of the women and \(\frac{3}{4}\) of the men are married. If \(\frac{3}{4}\) of the married women and \(\frac{8}{9}\) of the married men have children, then the fraction of the employees having no children among the total number of employees is

1
\(\frac{3}{8}\)
2
\(\frac{1}{8}\)
3
\(\frac{1}{2}\)
4
\(\frac{1}{6}\)

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