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Answer:

2000/17 = 117 11/17 miles

Explanation:

You want to know the number of miles of a 250-mile trip that are not downhill if 9/17 of the trip is downhill.

Fraction

The fraction that is not downhill is the difference between the fraction representing the whole trip, and the fraction that is downhill:


(17)/(17)-(9)/(17)=(17-9)/(17)=(8)/(17)

Miles

That fraction of the total trip miles is ...

(8/17) · (250 mi) = (8·250)/17 mi = 2000/17 mi = 117 11/17 mi

The number of miles not downhill was 2000/17 or 117 11/17 miles.

User Florianbaethge
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