Just Throw In Some Exponents

a3b2=316\dfrac { { a }^{ 3 } }{ { b }^{ 2 } } =\dfrac { 3 }{ 16 } If all the nn pairs of positive integers (a,b)(a,b) that satisfy the equation above, where a<100a<100 , are

(a1,b1),(a2,b2),,(an,bn), (a_1 ,b_1) , (a_2, b_2) , \ldots , (a_n, b_n) ,

submit your answer as i=1nbiai \displaystyle \sum_{i=1}^n \dfrac{b_i}{a_i} .

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