In common unit and measures, 1 cup holds about 8oz of a material. So if you have 1/6th of a cup, you have 1/6th of 8 oz:

1 cup ------ 8oz

1/6 cup ------x oz

x = 1(8)

6

x = 8/6

x = 4/3

x = 1.33 oz or 1 1/3 oz

So, 1/6th cup holds about 1.33 0z of a material.

1 cup ------ 8oz

1/6 cup ------x oz

x = 1(8)

6

x = 8/6

x = 4/3

x = 1.33 oz or 1 1/3 oz

So, 1/6th cup holds about 1.33 0z of a material.