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 of a model
Start Fraction 14 over 85 End Fraction of a model
10/119 of a model
Start Fraction 10 over 119 End Fraction of a model
6 1/14 models
6 Start Fraction 1 over 14 End Fraction models
11 9/10 models
11 Start Fraction 9 over 10 End Fraction models
To find the number of models Jeremy built, 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, convert the mixed number 8 1/2 to an improper fraction:
8 1/2 = (2 * 8 + 1)/2 = 17/2
Next, convert the mixed number 1 2/5 to an improper fraction:
1 2/5 = (5 * 1 + 2)/5 = 7/5
Now, divide 17/2 by 7/5:
17/2 รท 7/5 = 17/2 * 5/7 = 85/14
Therefore, Jeremy built 85/14 or 6 1/14 models.