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then prove that
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The positive divisors of 8 are 1, 2, 4, and 8. The reciprocals of these numbers, respectively, are 1, 1/2, 1/4, and 1/8. To get the sum, simply add them all: 1 + 1/2 + 1/4 + 1/8. The sum of all the reciprocals of 8 is 15/8 or in mixed form, 1 and 7/8.
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