QQuestionMathematics
QuestionMathematics
How would one convert 15 seconds to hours?
A. 15 seconds × (1 hour ÷ 3600 seconds)
B. 15 seconds × 60 seconds
C. 15 seconds × (1 ÷ 3600 seconds)
D. 15 seconds × (3600 seconds ÷ 1 hour)
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Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Conversion
To convert seconds to hours, we need to know the relationship between seconds and hours. There are 3600 seconds in 1 hour (60 minutes × 60 seconds = 3600 seconds).
Step 3:: Set Up the Conversion
15 \text{ seconds} \times \frac{1 \text{ hour}}{3600 \text{ seconds}}
The correct conversion is to multiply the given time by the conversion factor:
Step 4:: Perform the Calculation
15 \times \frac{1}{3600} = \frac{15}{3600} = 0.00416\overline{6} \text{ hours}
Step 5:: Verify the Reasoning
- We divide by 3600 because there are 3600 seconds in an hour - This reduces the number of seconds to its equivalent in hours - The calculation shows how a small number of seconds translates to a fraction of an hour
Final Answer
Note: Option A is the only correct way to convert seconds to hours by using the proper conversion factor of 1 hour per 3600 seconds.
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