Given : $$x=0.7822222....$$ => $$100x=78.22222.....$$ ------------(i) => $$1000x=782.2222.....$$ ------------(ii) Subtracting equation (i) from (ii), we get : => $$900x=782.2222-78.2222=704$$ => $$x=frac{704}{900}$$ => Ans - (A)
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