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Convert: $\newline$ $5,959$ $\text{yd}$ = _ $\text{mi}$ _ $\text{yd}$

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Mixed customary units

Full solution

Q. Convert:

\newline

5,959

\text{yd}

= _____

\text{mi}

_____

\text{yd}

Convert Yards to Miles: We know that $1$ mile $= 1,760$ yards. Let's divide $5,959$ yards by $1,760$ to find out how many whole miles there are. $\newline$ $5,959 \div 1,760 = 3.385795454545\dots$ $\newline$ But we only need the whole number of miles, so we take the integer part which is $3$ miles.
Calculate Whole Miles: Now we need to find out how many yards are left after converting to miles. We multiply the whole miles by the number of yards in a mile and subtract from the total yards. $\newline$ $3$ miles $\times 1,760$ yards/mile $= 5,280$ yards $\newline$ $5,959$ yards $- 5,280$ yards $= 679$ yards

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