In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4 of the men are married and 2/3 of the married men have children, what part of the workers are without children?

Let the total number of workers be x. Then, 

Number of women = x/3 and number of men = x - x/3  = 2x/3

Number of women having children = x/18

Number of men having children = x/3

Number of workers having children = (x/18) + (x/3) = 7x/18

Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.