Convert 17,660 ft/min to mi/hr: Math Error?

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AI Thread Summary
To convert 17,660 feet per minute to miles per hour, the correct method involves first converting feet to miles by multiplying by the conversion factor of 1 mile per 5,280 feet. This gives 3.345 miles per minute. To convert to miles per hour, multiply by 60 minutes per hour, resulting in 200.7 miles per hour. The error in the initial calculation stemmed from incorrectly dividing instead of multiplying by the appropriate conversion factors. Properly applying unit conversions ensures accurate results in speed calculations.
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Convert 17,660 ft/min to mi/hr, ft= feet, min=minutes, mi=miles, hr=hours
I first divided 17,660 feet per minute by 5280 ft then divided that quantity by 60 minutes and got 0.06 miles per hour. What did I do wrong?
 
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cwalker8184 said:
Convert 17,660 ft/min to mi/hr, ft= feet, min=minutes, mi=miles, hr=hours
I first divided 17,660 feet per minute by 5280 ft then divided that quantity by 60 minutes and got 0.06 miles per hour. What did I do wrong?

When doing unit conversions, I find it best to keep multiplying by "1". You did the first part of the conversion correctly:

17,660 ft/min * (1 mile / 5280 ft) = 3.345 mile/min

But in the second part, what form of "1" should you multiply by to get to mile/hr?


EDIT -- Keep in mind that by multplying by "1", your goal is to cancel out like units on the top and bottom of the fraction...
 
always write it out before start keying into calculator.
 
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