Question
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)
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Responses
Answers
GPT 3.5
To find out how many model airplanes 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 airplane (1 2/5 hours).
First, we need to convert the hours into a mixed number:
8 1/2 hours = 8 + 1/2 = 16/2 + 1/2 = 17/2 hours
Now, let's divide the total number of hours worked by the time it takes to make one model airplane:
17/2 hours ÷ 1 2/5 hours = 17/2 ÷ 7/5
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
17/2 ÷ 7/5 = 17/2 × 5/7
Now, let's simplify the fraction:
(17 × 5) / (2 × 7) = 85/14
Therefore, Jeremy built approximately 85/14 or about 6.07 model airplanes.
First, we need to convert the hours into a mixed number:
8 1/2 hours = 8 + 1/2 = 16/2 + 1/2 = 17/2 hours
Now, let's divide the total number of hours worked by the time it takes to make one model airplane:
17/2 hours ÷ 1 2/5 hours = 17/2 ÷ 7/5
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
17/2 ÷ 7/5 = 17/2 × 5/7
Now, let's simplify the fraction:
(17 × 5) / (2 × 7) = 85/14
Therefore, Jeremy built approximately 85/14 or about 6.07 model airplanes.