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)Responses1485 of a modelStart Fraction 14 over 85 End Fraction of a model11910 models11 Start Fraction 9 over 10 End Fraction models6114 models6 Start Fraction 1 over 14 End Fraction models10119 of a model
To find the number of models Jeremy built, we need to divide the total number of hours he worked (8 1/2 hours) by the time it takes him to make one model (1 2/5 hours).
First, we need to convert 8 1/2 hours to an improper fraction:
8 1/2 hours = 17/2 hours
Next, we need to convert 1 2/5 hours to an improper fraction:
1 2/5 hours = 7/5 hours
Now we can divide the total number of hours worked by the time it takes to make one model:
(17/2) hours / (7/5) hours = (17/2) * (5/7) = 85/2 * 1/7 = 85/14
Therefore, Jeremy built 85/14 of a model.