Harry rides his bike 25 3/8 miles. Karen rides her bike 25 2/5 miles. Who rides farther?
To determine who rides farther between Harry and Karen, we need to compare the distances they each ride.
Harry rides 25 3/8 miles, which can be converted to an improper fraction: 8 * 25 + 3 = 203/8 miles.
Karen rides 25 2/5 miles, which can be converted to an improper fraction as well: 5 * 25 + 2 = 127/5 miles.
Now, to compare the two distances, we need to find a common denominator. The least common multiple (LCM) of 8 and 5 is 40. So, we'll convert both fractions to have a denominator of 40.
For Harry: 203/8 * 5/5 = 1015/40 miles
For Karen: 127/5 * 8/8 = 1016/40 miles
Now we can see that Harry rides 1015/40 miles, and Karen rides 1016/40 miles.
Comparing these fractions, we can conclude that Karen rides slightly farther, as 1016/40 miles is greater than 1015/40 miles.
Therefore, Karen rides farther than Harry.