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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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Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.