Question

Noel has been working on making handmade birthday cards for 11/12
hour. If each card takes 1/6
hour to make, how many whole cards did he make?(1 point)
Responses

6 cards
6 cards

5 cards
5 cards

15
card
Start Fraction 1 over 5 End Fraction card

56
card

Answer 1

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 can calculate the number of cards he made with the following formula:

\[
\text{Number of cards} = \frac{\text{Total time}}{\text{Time per card}} = \frac{\frac{11}{12}}{\frac{1}{6}}
\]

To divide fractions, we multiply by the reciprocal of the divisor:

\[
= \frac{11}{12} \times \frac{6}{1} = \frac{11 \times 6}{12 \times 1} = \frac{66}{12}
\]

Now, simplify \( \frac{66}{12} \):

\[
\frac{66 \div 6}{12 \div 6} = \frac{11}{2} = 5.5
\]

Since we are looking for whole cards, Noel made 5 whole cards.

Therefore, the answer is:

**5 cards**.