Find the sum of the integers in the continued fraction Find the sum of integers a , b

Gabriella Sellers

Gabriella Sellers

Answered question

2022-06-30

Find the sum of the integers in the continued fraction
Find the sum of integers a , b , c , d , and e if 2011 1990 = a + 1 b + 1 c + 1 d + 1 e
I could simplify the big fraction on the RHS, but I don't see how that would help. Also, there are infinitely many solutions to this equation so how should I find the integer solution?

Answer & Explanation

Kamora Greer

Kamora Greer

Beginner2022-07-01Added 16 answers

2011 1990 = 1 + 1 1990 21 = 1 + 1 94 + 1 21 16
= 1 + 1 94 + 1 1 + 1 16 5 = 1 + 1 94 + 1 1 + 1 3 + 1 5

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