Noel has been working on making handmade birthday cards for 11/12 hour. If each card takes 1/6 hour to make, how many cards did he make?
A 1/5 card
B 5/6 card
C 5 cards
D 5 1/2 cards
To find the number of cards made, we need to divide the total time worked by the time taken to make each card.
The total time worked is 11/12 hour.
Since each card takes 1/6 hour to make, we have:
Number of cards = (Total time worked) / (Time taken to make each card)
Number of cards = (11/12) / (1/6)
Number of cards = (11/12) * (6/1)
Number of cards = 66/12
Simplifying the fraction, we have:
Number of cards = 11/2
This can be written as 5 1/2 cards.
So, the answer is D) 5 1/2 cards.
To find the number of cards Noel made, divide the total time spent by the time it takes to make each card.
Total time spent = 11/12 hour
Time taken to make each card = 1/6 hour
Dividing the total time spent by the time taken per card:
(11/12) / (1/6) = (11/12) * (6/1) = (11*6) / (12*1) = 66/12
Simplifying the fraction:
66/12 = 11/2 = 5 1/2
Therefore, Noel made 5 and 1/2 cards, which is option D.
To find out how many cards Noel made, we need to divide the total time he spent making cards by the time it takes to make each card.
First, let's find the total time Noel spent making cards. Given that he worked for 11/12 hour, we can multiply the denominator (12) by the whole number (11) and add the numerator (1) to get the total time:
Total time = (11 * 12) + 1 = 132 + 1 = 133/12 hour
Next, let's find out how many cards Noel made. Since each card takes 1/6 hour to make, we can divide the total time by the time it takes to make each card:
Number of cards = Total time ÷ Time per card
Number of cards = (133/12) ÷ (1/6)
To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:
Number of cards = (133/12) * (6/1)
Multiplying the numerators (133 * 6) and the denominators (12 * 1), we get:
Number of cards = (798/12) = 66.5
Since we can't have a fraction of a card, the closest whole number is 66. Therefore, Noel made 66 cards.
Thus, the correct answer is C) 5 cards.