To determine how many sandwich and soup combos can be served, we need to divide the total amount of soup by the amount of soup served per combo.
Given:
- Total amount of soup made = 16 liters
- Amount of soup served per combo = \( \frac{1}{3} \) liter
Now, we can calculate the number of combos by using the following formula:
\[ \text{Number of combos} = \frac{\text{Total soup}}{\text{Soup per combo}} = \frac{16 \text{ liters}}{\frac{1}{3} \text{ liter}} \]
To divide by a fraction, we can multiply by its reciprocal:
\[ \frac{16}{\frac{1}{3}} = 16 \times 3 = 48 \]
Therefore, the total number of sandwich and soup combos that can be served is:
\[ \boxed{48} \]