If the sum of two numbers is 6 and the product of the two numbers is 8 then what is the sum of the reciprocals of the two numbers?
a + b = 6
ab = 8
1/a + 1/b = 1/a * ab / ab + 1/b * ab/ab
= b/ab + a/ab
= (b+ a )/ ab = 6 / 8 = 3/4
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