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Convert: $\newline$ $36,124$ $\text{ft}$ = _ $\text{mi}$ _ $\text{ft}$

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Mixed customary units

Full solution

Q. Convert:

\newline

36,124

\text{ft}

= _____

\text{mi}

_____

\text{ft}

Calculate Whole Miles: We know that $1$ mile $= 5,280$ feet. Let's divide $36,124$ feet by $5,280$ feet per mile to find out how many whole miles there are. $\newline$ $36,124 \text{ ft} \div 5,280 \text{ ft/mi} = 6.84 \text{ mi}$ $\newline$ But we only want the whole number of miles for now, so we take the integer part of the result.
Find Remaining Feet: We got $6$ miles. Now let's find out how many feet are left over. $\newline$ We multiply the whole miles by the number of feet in a mile and subtract from the total feet. $\newline$ $6 \, \text{mi} \times 5,280 \, \text{ft/mi} = 31,680 \, \text{ft}$ $\newline$ $36,124 \, \text{ft} - 31,680 \, \text{ft} = 4,444 \, \text{ft}$
Correct Subtraction: Oops, looks like I made a mistake in the subtraction. Let's correct that. $\newline$ $36,124$ ft $- 31,680$ ft $= 4,444$ ft is wrong. $\newline$ The correct subtraction is: $\newline$ $36,124$ ft $- 31,680$ ft $= 4,444$ ft $\newline$ Wait, that's the same number. My bad, the subtraction was actually correct.

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