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A group of hikers walked 2 3/5 miles along a hiking trail. Another group of hikers walked 1/2 that distance with the first group before turning off onto another trail. How many miles did the two groups of hikers walk with each other?

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Final answer:

To find the distance two groups of hikers walked together, take half of 2 3/5 miles, which converts to 1 3/10 miles or 1.3 miles.

Step-by-step explanation:

The group of hikers walked 2 3/5 miles along the hiking trail. To find the distance the second group walked with the first, we take 1/2 of 2 3/5 miles. First, convert the mixed number to an improper fraction: 2 3/5 = (2 × 5 + 3)/5 = 13/5. Then, multiply by 1/2 to find the shared distance: (13/5) × (1/2) = 13/10, which is 1 3/10 miles or 1.3 miles. Therefore, the two groups of hikers walked 1.3 miles with each other.

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