To find out how many whole cards Noel made, you can divide the total time he has worked by the time it takes to make one card.
Noel has worked for \( \frac{11}{12} \) hours, and it takes \( \frac{1}{6} \) hours to make one card.
Now, divide \( \frac{11}{12} \) by \( \frac{1}{6} \):
\[ \frac{11}{12} \div \frac{1}{6} = \frac{11}{12} \times \frac{6}{1} = \frac{11 \times 6}{12 \times 1} = \frac{66}{12} \]
Now simplify \( \frac{66}{12} \):
\[ \frac{66 \div 6}{12 \div 6} = \frac{11}{2} \]
This equals \( 5.5 \). Since we are interested in whole cards, we can conclude that Noel made 5 whole cards.