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?(1 point)
Responses
5 1/2 cards
1/5 card
5 cards
5/6 card
To find out how many cards Noel made, divide the total time spent by the time taken to make each card.
Total time = 11/12 hour
Time taken to make each card = 1/6 hour
Dividing 11/12 by 1/6, we get:
(11/12) ÷ (1/6) = (11/12) x (6/1) = 66/12
Simplifying 66/12, we get:
66/12 = 5 1/2
Therefore, Noel made 5 1/2 cards.
To find the number of cards Noel made, we need to divide the total time he spent working by the time it takes to make one card.
First, let's convert the time Noel spent working to a fraction of an hour. We know that he worked for 11/12 of an hour.
Next, we need to find the number of cards he can make in 1/6 hour. To do this, we need to divide 1 by 1/6.
To divide by a fraction, we can multiply by its reciprocal. The reciprocal of 1/6 is 6/1. So, to find the number of cards made in 1/6 hour, we multiply 1 by 6/1, which gives us 6.
Now, to find the total number of cards Noel made, we divide the total time by the time it takes to make one card. So, we divide 11/12 by 1/6.
To divide fractions, we multiply by the reciprocal. So, we multiply 11/12 by 6/1, which gives us 66/12.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 6. Dividing 66 by 6 gives us 11, and dividing 12 by 6 gives us 2.
So, the fraction 66/12 simplifies to 11/2.
Therefore, Noel made 11/2 cards, which is equal to 5 and 1/2 cards.
To find the number of cards Noel made, we need to divide the total time spent by the time it takes to make each card.
11/12 hour ÷ 1/6 hour/card = 11/12 hour × 6/1 card/hour
= 66/12 cards
= 5 1/2 cards
So, Noel made 5 1/2 cards.