Question
Complete the conversion. \( 9,240 \mathrm{yd}= \) _mi \( 9,240 \mathrm{yd}=\square \mathrm{mi} \) (Type an integer, fraction, or mixed number.)
Ask by Wood O'Quinn. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 9,240 \, \text{yd} = 5 \frac{1}{4} \, \text{mi} \)
Solution
To convert 9,240 yards to miles, use the conversion factor 1 mile = 1,760 yards.
Step 1. Set up the conversion:
9,240 yd × (1 mi / 1,760 yd) = 9,240 / 1,760 mi
Step 2. Divide 9,240 by 1,760:
9,240 ÷ 1,760 = 231 ÷ 44 (after dividing numerator and denominator by 40)
231 divided by 44 is 5 with a remainder of 11 (since 5 × 44 = 220)
So, 231/44 = 5 11/44
Step 3. Simplify the fraction:
11/44 simplifies to 1/4 (since 11 divides both numerator and denominator)
Thus, 5 11/44 = 5 1/4
The final conversion is:
9,240 yd = 5 1/4 mi
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To convert yards to miles, you can use the fact that there are 1,760 yards in a mile. So, to find how many miles are in 9,240 yards, you would divide the total yards by the number of yards per mile: \[ 9,240 \text{ yd} \div 1,760 \text{ yd/mi} = 5.25 \text{ mi} \] Hence, \( 9,240 \mathrm{yd} = 5.25 \mathrm{mi} \).
