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, 2000

Algebra Difficulty 2.0 Junior Find the answer Canada

In the expression $\dfrac{a}{b}+\dfrac{c}{d}+\dfrac{e}{f}$ each letter is replaced by a different digit from 1, 2, 3, 4, 5, and 6. What is the largest possible value of this expression?

(A) $8\dfrac{2}{3}$ (B) $9\dfrac{5}{6}$ (C) $9\dfrac{1}{3}$ (D) $9\dfrac{2}{3}$ (E) $10\dfrac{1}{3}$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.