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UKMT Senior Mathematical Challenge, 2022

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

What is the value of $\dfrac{1}{1.01}+\dfrac{1}{1.1}+\dfrac{1}{1}+\dfrac{1}{11}+\dfrac{1}{101}$ ?

(A) $2.9$ (B) $2.99$ (C) $3$ (D) $3.01$ (E) $3.1$

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