To determine how many flowerpots Brianna can fill with 6 bags of soil when each flowerpot requires \( \frac{1}{3} \) bag of soil, we can use the following calculation:
- First, understand the number of bags of soil: Brianna has 6 bags of soil.
- Each flowerpot requires \( \frac{1}{3} \) of a bag of soil to fill.
To find out how many flowerpots can be filled, you can divide the total amount of soil by the amount needed for one flowerpot:
\[ \text{Number of flowerpots} = \frac{\text{Total bags of soil}}{\text{Bags of soil per flowerpot}} = \frac{6}{\frac{1}{3}} \]
- Dividing by a fraction is the same as multiplying by its reciprocal:
\[ \frac{6}{\frac{1}{3}} = 6 \times 3 = 18 \]
Therefore, Brianna can fill 18 flowerpots with 6 bags of soil.