To find out how many whole cards Noel made, we can start by determining the total time he spent making cards and how long it takes to make each one.
Noel worked for \( \frac{11}{12} \) hour, and each card takes \( \frac{1}{6} \) hour to make.
We can calculate the number of cards Noel made by dividing the total time he worked by the time it takes to make one card:
\[ \text{Number of cards} = \frac{\text{Total time worked}}{\text{Time per card}} = \frac{\frac{11}{12}}{\frac{1}{6}} \]
To divide by a fraction, we multiply by its reciprocal:
\[ \text{Number of cards} = \frac{11}{12} \times \frac{6}{1} = \frac{11 \times 6}{12 \times 1} = \frac{66}{12} \]
Now we simplify \( \frac{66}{12} \):
\[ \frac{66 \div 6}{12 \div 6} = \frac{11}{2} = 5.5 \]
Since we're looking for the number of whole cards he made, we take the whole part of \( 5.5 \), which is \( 5 \).
Thus, Noel made 5 whole cards. The answer is: 5 cards.
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