Answer: 2 5/8
Explanation:
To find out how many miles Carly ran uphill, we need to multiply the total distance she ran (3 1/2 miles) by the fraction that represents the fraction of the distance she ran uphill (three fourths or 3/4):
3 1/2 * 3/4
To do this multiplication, we can convert the mixed number (3 1/2) to an improper fraction:
3 1/2 = 7/2
Then we multiply the fractions straight across:
7/2 * 3/4 = (7*3)/(2*4) = 21/8
So Carly ran 21/8 miles uphill. We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor (which is 1 in this case):
21/8 = 2 5/8
So Carly ran 2 5/8 miles uphill.