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Answer: To convert feet to miles, you multiply by miles per foot. This is 1 mile / 5280 feet.

Answer: You use either the conversion factor 5280 feet / 1 mile, or the reciprocal, 1 mile / 5280 feet. Both are equal to 1, so you are just multiplying by one. If you do it the wrong way, in your answer you will get units like square feet / mile, or square miles / feet. Both of these are technically correct, but quite useless in this context - so you just use the other conversion factor.

Example: Convert 10 miles to feet. If you multiply by 1 mile / 5280 feet, you get (1/528) square miles/feet, which is sort of useless. If you multiply by 5280 feet / 1 miles instead, you get 52800 (miles) (feet/miles); here you can cancel the miles, to get only feet in the final result.

In summary, choose the conversion factor in such a way that the "unwanted" unit cancels.

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Q: How do you determined which units to place in the numerator and the denominator if you use the conversion factor that you would use to convert feet to miles?
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