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?(1 point) Responses
14/85
6 1/14
10/119
11 9/10
To find the number of models Jeremy built, we need to divide the total number of hours Jeremy worked by the time it takes him to make one model.
First, let's convert the mixed number of hours worked to an improper fraction:
8 1/2 = 8 + 1/2 = 16/2 + 1/2 = 17/2
Next, let's convert the time it takes to make one model to an improper fraction:
1 2/5 = 1 + 2/5 = 5/5 + 2/5 = 7/5
Now, we can divide the hours worked by the time it takes to make one model:
17/2 รท 7/5
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
17/2 * 5/7
Multiply the numerators together and the denominators together:
(17 * 5) / (2 * 7) = 85/14
Therefore, Jeremy built 85/14 models, which can also be written as 6 1/14 models.
The answer is 6 1/14.