To find out how many whole cards Noel made, we can divide the total time he spent making cards by the time it takes to make each card.
First, let's express both times with a common denominator.
Noel worked for \( \frac{11}{12} \) hour, and each card takes \( \frac{1}{6} \) hour to make.
To divide \( \frac{11}{12} \) by \( \frac{1}{6} \), we can multiply \( \frac{11}{12} \) by the reciprocal of \( \frac{1}{6} \):
\[ \frac{11}{12} \div \frac{1}{6} = \frac{11}{12} \times \frac{6}{1} \]
Now, multiplying the fractions:
\[ \frac{11 \times 6}{12 \times 1} = \frac{66}{12} \]
Next, we simplify \( \frac{66}{12} \):
\[ \frac{66 \div 6}{12 \div 6} = \frac{11}{2} = 5.5 \]
Since we are looking for the number of whole cards, we take the whole number part of \( 5.5 \), which is \( 5 \).
Thus, Noel made 5 whole cards.
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