Define fractional Knap-Sack problem, and give a greedy algorithm to solve this problem efficiently

The Fractional Knapsack Problem is a classic optimization problem in computer science and mathematics. In this problem, given a set of items, each with a weight and a value, we aim to determine the most valuable combination of items to include in a knapsack of fixed capacity. The twist in the fractional variant of this problem is that we are allowed to take fractions of items, rather than being constrained to taking only whole items.

Here's a more formal definition:

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