1. When 0.090909.....is converted into a fraction, then the result is
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By: anil on 05 May 2019 02.10 am
Let $$x$$ = 0.090909.... --------------(i) Multiplying both sides by 100 => $$100x$$ = 9.090909.... ------------(ii) Subtracting equation (i) from (ii) => $$100x - x$$ = (9.090909....) - (0.090909....) => $$99x = 9$$ => $$x = frac{9}{99} = frac{1}{11}$$ So, 0.090909....written in the form p/q is 1/11 => Ans - (B)
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