To find the ratio of the number of thick-crust pizzas to the total number of pizzas made by Rose's Pizzeria, we first need to calculate the total number of pizzas.
The total number of pizzas is given by the sum of the thin-crust pizzas and the thick-crust pizzas:
\[ \text{Total pizzas} = \text{Thin-crust pizzas} + \text{Thick-crust pizzas} = 41 + 6 = 47 \]
Next, we calculate the ratio of the number of thick-crust pizzas to the total number of pizzas:
\[ \text{Ratio} = \frac{\text{Thick-crust pizzas}}{\text{Total pizzas}} = \frac{6}{47} \]
Thus, the ratio of the number of thick-crust pizzas to the total number of pizzas is
\[ \boxed{\frac{6}{47}} \]
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