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29 September, 15:20

Each number in a group of natural numbers was divided by the sum of all the numbers in that same group. What is the sum of all the resulting fractions?

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  1. 29 September, 16:35
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    Step-by-step explanation:

    Let us consider the case of 3 numbers: x, y, and z.

    Then x/x+y+z + y/x+y+z + z/x+y+z = x+y+z/x+y+z = 1

    The same works also for any quantity of numbers.
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