Question

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?

Answer 1

1

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.