To solve this problem, we need to know how many pieces Doug divided the clay into. We are given that Doug bought 1/3 of a kilogram of clay and we are also told that each piece of clay is 1/6 of a kilogram.
In mathematical terms, we are asked to divide the total amount of clay by the amount per piece.
So, we have:
Total clay = 1/3 kilogram
Amount of clay per piece = 1/6 kilogram
To find out the number of pieces Doug could make, we divide the total amount of clay by the amount of clay per piece.
This gives us: Number of pieces = Total clay / Clay per piece
Substituting in the given values, we get: Number of pieces = (1/3) / (1/6)
Performing the division, we get the answer as 2.
So Doug divided the clay into 2 pieces. Therefore, the answer is A) 2 pieces.