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Convert: $\newline$ $10,234$ $\text{yd}$ = _ $\text{mi}$ _ $\text{yd}$

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Mixed customary units

Full solution

Q. Convert:

\newline

10,234

\text{yd}

= _____

\text{mi}

_____

\text{yd}

Divide for Miles: We know there are $1,760$ yards in a mile. To find out how many miles are in $10,234$ yards, we divide $10,234$ by $1,760$ . $\newline$ $10,234 \div 1,760 = 5.8159$
Whole Number Part: Since we can't have a fraction of a mile when converting to yards, we take the whole number part of the division for miles, which is $5$ miles.
Find Yards Left: Now we need to find out how many yards are left over. We multiply the whole number of miles by the number of yards in a mile and subtract it from the total yards. $\newline$ $5$ miles $*$ $1,760$ yards/mile $=$ $8,800$ yards $\newline$ $10,234$ yards $-$ $8,800$ yards $=$ $1,434$ yards

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