Find the sum of the series 1 + + 1/3 + + 1/8 + 1/9

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Find the sum of the series 1 + ½ + 1/3 + ¼ + 1/8 + 1/9 + 1/12 + . . . where the terms are the reciprocals of the positive integers whose only prime’s factors are 2s and 3s.
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