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Problem 50 Number theory Difficulty 1.0 Find the answer UKMT Intermediate Mathematical Challenge · United Kingdom · 2020
As a decimal, what is the value of 1 9 + 1 11 \dfrac{1}{9} + \dfrac{1}{11} 9 1 + 11 1 ?
(A) 0.10 0.10 0.10 (B) 0.20 0.20 0.20 (C) 0.2020 0.2020 0.2020 (D) 0.202 020 0.202\,020 0.202 020 (E) 0. 2 ˙ 0 ˙ 0.\dot{2}\dot{0} 0. 2 ˙ 0 ˙
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Source: UK Mathematics Trust ,
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