Final answer:
To find the fraction of the longer ride, divide the longer ride distance by the total distance and simplify the fraction.
Step-by-step explanation:
To find the fraction of the longer ride, we need to compare the distances ridden on each day. The total distance ridden is 5(1)/(2) + 6 = 11(1)/(2) miles. To find the fraction of the longer ride, divide the longer ride distance by the total distance:
6 miles / 11(1)/(2) miles.
To simplify the fraction, we can convert 11(1)/(2) miles to an improper fraction: 11(1)/(2) miles = 23/2 miles.
So, the fraction of the longer ride is: 6 miles / 23/2 miles. To divide by a fraction, we can multiply by its reciprocal: 6 miles * 2/23 miles = 12/23 miles.
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