a hiker can hike 12 3/5 miles in one day. how many days will it take the hiker to hike 72 1/2 miles on a trail?
72.5 / 12.6 = ?
To find out how many days it will take the hiker to hike 72 1/2 miles on a trail, we need to divide the total distance by the distance the hiker can cover in one day.
First, let's convert the mixed numbers into improper fractions:
12 3/5 = (12 * 5 + 3) / 5 = 63/5
72 1/2 = (72 * 2 + 1) / 2 = 145/2
Now we divide the total distance by the distance the hiker can cover in one day:
145/2 ÷ 63/5
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction:
145/2 × 5/63
Next, multiply the numerators (the top numbers) together and the denominators (the bottom numbers) together:
(145 × 5) / (2 × 63)
Now, calculate the multiplication:
725 / 126
So, it will take the hiker approximately 5.75 days to hike 72 1/2 miles on the trail.