Jeremy worked for 8 1/2 hours building model airplanes. if each airplane takes him 1 2/5 hours to make, how many models did he build?
14/85 of a model
or
11 9/10 models
or
6 1/14 models
or
10/119 of a model
To find the number of models Jeremy built, we need to divide the total time he worked by the time it takes him to make one model.
The total time Jeremy worked is 8 1/2 hours, which can also be written as 8 + 1/2 hours.
To add the whole number and fraction, 8 + 1/2, we first convert the whole number to a fraction: 8 = 8/1
So, 8 + 1/2 is equivalent to (8/1) + (1/2). We need to find a common denominator, which in this case is 2.
(8/1) + (1/2) = (8/1) + (1/2) * (2/2)
= 8/1 + 2/2
= 8/1 + 2/1
= (8+2)/1
= 10/1
= 10
So, Jeremy worked for a total of 10 hours.
Each airplane takes him 1 2/5 hours to make, which is equivalent to 1 + 2/5 or (1/1) + (2/5).
To add the whole number and fraction, 1 + 2/5, we need to find a common denominator, which in this case is 5.
(1/1) + (2/5) = (1/1) + (2/5) * (5/5)
= 1/1 + 10/5
= (1+10)/5
= 11/5
So, it takes Jeremy 11/5 hours to make one model.
Now, to find the number of models Jeremy built, we need to divide the total time he worked (10 hours) by the time it takes him to make one model (11/5 hours).
10 hours / (11/5 hours) = (10/1) / (11/5)
= 10/1 * 5/11
= 50/11
= 4 6/11
Therefore, Jeremy built 4 6/11 models.