9514 1404 393
Answer:
2 miles 2 yards
Step-by-step explanation:
There are 1760 yards in a mile, so you are effectively performing the division ...
(9185 380/1760) ÷ 4590
where the number in parentheses is a mixed number of miles.
You do this division the same way you do any mixed-number division. There are different possible methods you can use. One of them is to convert the mixed number to an improper fraction, then divide.
9185 380/1760 = 9185 19/88 = (88·9185 +19)/88 = 808299/88
Then this is divided in the usual way:
[tex]\dfrac{808299}{88}\div4590=\dfrac{808299}{88\cdot4590}=\dfrac{808299}{403920}=2\dfrac{459}{403920}=2\dfrac{1}{880}[/tex]
Finding the quotient and remainder is straightforward. Reducing the fraction involves finding common factors in the numerator and denominator. As it turns out, 459 is a factor of 403920, so the fraction reduces as shown.
Now, we need to convert 1/880 miles back to yards.
((1/880) mi) × (1760 yd/mi) = 2 yd
So, the quotient you seek is ...
2 miles 2 yards
