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Convert: $\newline$ $11,657$ $\text{yd}$ = _ $\text{mi}$ _ $\text{yd}$

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Mixed customary units

Full solution

Q. Convert:

\newline

11,657

\text{yd}

= _____

\text{mi}

_____

\text{yd}

Calculate Miles: question_prompt: How many miles and yards are in $11,657$ yards? $\newline$ We know there are $1,760$ yards in a mile. To find out how many miles are in $11,657$ yards, we divide $11,657$ by $1,760$ . $\newline$ $11,657 \div 1,760 = 6.62$
Determine Whole Miles: Since we can't have a fraction of a mile when converting to yards, we only take the whole number part for the miles. So, we have $6$ miles. $\newline$ To find the remaining yards, we multiply the whole number of miles by $1,760$ and subtract from the total yards. $\newline$ $6 \times 1,760 = 10,560$
Calculate Remaining Yards: Now, subtract the total yards used in the miles from the original amount. $11,657 - 10,560 = 1,097$ yards

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