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 number of hours he worked by the number of hours it takes him to make one model.
The total number of hours Jeremy worked is 8 1/2 hours, which can be rewritten as 8 + 1/2 = 16/2 + 1/2 = 17/2 hours.
The number of hours it takes Jeremy to make one model is 1 2/5 hours, which can be rewritten as 1 + 2/5 = 5/5 + 2/5 = 7/5 hours.
To find the number of models Jeremy built, we divide the total number of hours he worked (17/2 hours) by the number of hours it takes him to make one model (7/5 hours):
(17/2) / (7/5) = (17/2) * (5/7)
= (17*5) / (2*7)
= 85/14
Therefore, Jeremy built 85/14 models.
To simplify the fraction 85/14, we can divide both the numerator and denominator by their greatest common divisor, which is 1.
85/14 = 85 ÷ 1 / 14 ÷ 1 = 85/14.
Therefore, Jeremy built 85/14 models.