For positive integers \(a, b,\) and \(c, a < b < c < 100.\) Which of the following has the greatest value?

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For positive integers \(a, b,\) and \(c, a < b < c < 100.\) Which of the following has the greatest value?

A. \(\dfrac{a}{100}\)

B. \(\dfrac{a+b}{100+b}\)

C. \(\dfrac{a+c}{100+c}\)

D. \(\dfrac{a+b+c}{100+b+c}\)

E. The answer cannot be determined from the information provided.

Answer: D

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