To find out how many whole cards Noel made, we need to divide the total time he worked (11/12 hour) by the time it takes to make one card (1/6 hour).
The calculation is as follows:
\[ \text{Number of cards} = \frac{\text{Total time}}{\text{Time per card}} = \frac{11/12}{1/6} \]
To divide by a fraction, we multiply by its reciprocal:
\[ \frac{11/12}{1/6} = \frac{11}{12} \times \frac{6}{1} = \frac{11 \times 6}{12 \times 1} = \frac{66}{12} \]
Now, we simplify \(\frac{66}{12}\):
\[ \frac{66 \div 6}{12 \div 6} = \frac{11}{2} \]
This means that Noel made \(5.5\) cards. Since we are asked for whole cards, we round down to 5 whole cards.
So, the answer is:
5 cards