Harry rides:
25 3/8 = 25 + 3 / 8 = 25 + 0.375 = 25.375 miles
Karen rides :
25 2/5 = 25 + 2 / 5 = 25 + 0.4 = 25.4 miles
Karen rides farther.
"Harry rides his bike 25 3/8 miles. Karen rides her bike 25 2/5 miles. Who rides farther?"
Need some help before New Years, please.
25 3/8 = 25 + 3 / 8 = 25 + 0.375 = 25.375 miles
Karen rides :
25 2/5 = 25 + 2 / 5 = 25 + 0.4 = 25.4 miles
Karen rides farther.
Step 1: Convert the mixed numbers to improper fractions.
- Harry rode 25 3/8 miles, which can be written as 203/8 miles.
- Karen rode 25 2/5 miles, which can be written as 127/5 miles.
Step 2: Find a common denominator.
In this case, the least common denominator (LCD) is 40 because both denominators (8 and 5) can be evenly divided by it.
Step 3: Convert the fractions to have the same denominator.
- For Harry: Multiply both the numerator and denominator by 5 to get 203/40.
- For Karen: Multiply both the numerator and denominator by 8 to get 1016/40.
Now, we have both distances represented as fractions with the same denominator.
Step 4: Compare the distances.
Since we have the distances in the same form, we can directly compare them. In this case, 1016/40 is greater than 203/40.
Therefore, Karen rides farther than Harry.
I hope this explanation helps! Let me know if you have any other questions.