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UKMT Senior Mathematical Challenge, 2017

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Which of the following is equal to $2017 - \frac{1}{2017}$ ?

(A) $\frac{2017^2}{2016}$ (B) $\frac{2016}{2017}$ (C) $\frac{2018}{2017}$ (D) $\frac{4059}{2017}$ (E) $\frac{2018 \times 2016}{2017}$

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