Final answer:
Harold jogged 6 miles, which is 1 2/3 times as far as Ramona's 3 3/5 miles. This was calculated by converting mixed numbers into improper fractions and then multiplying them together (option B).
Step-by-step explanation:
The student is asking how far Harold jogged if he jogged 1 2/3 times as far as Ramona, who jogged 3 3/5 miles. To solve this, we need to multiply the distance Ramona jogged by 1 2/3.
First, let's convert the mixed numbers into improper fractions:
- Ramona's distance: 3 3/5 = (3 × 5 + 3) / 5 = 18/5 miles
- Harold's multiple: 1 2/3 = (1 × 3 + 2) / 3 = 5/3
Now, multiply Ramona's distance by Harold's multiple:
(18/5) × (5/3) = (18 × 5) / (5 × 3) = 18/3 = 6 miles
Therefore, Harold jogged 6 miles, which is choice B.