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 one card.
Noel worked for \( \frac{11}{12} \) hour and each card takes \( \frac{1}{6} \) hour to make.
We set up the division:
\[ \text{Number of cards} = \frac{\text{Total time}}{\text{Time per card}} = \frac{\frac{11}{12}}{\frac{1}{6}} \]
Dividing fractions involves multiplying by the reciprocal:
\[ \frac{11}{12} \div \frac{1}{6} = \frac{11}{12} \times 6 = \frac{11 \times 6}{12} \]
Calculating the numerator:
\[ 11 \times 6 = 66 \]
Now, simplifying \( \frac{66}{12} \):
\[ \frac{66 \div 6}{12 \div 6} = \frac{11}{2} = 5.5 \]
This means he made 5.5 cards. Since we are looking for whole cards, Noel made 5 whole cards.
So the answer is 5 cards.
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