Assuming you live in the U.S., 1 cup is converted to 16 tablespoons. We can use that in an equation to convert 1/6 cups.

1x cup = 16x tbsp.

Now plug in 1/6 to the x variables.

1(1/6) = 16(1/6) tbsp.

1/6 cups = 16/6 tablespoons.

Which, in mixed fraction form, is 2 and 2/3 tablespoons, or 2 tablespoons + 2 teaspoons (since 1 tablespoon = 3 teaspoons)