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0 overline 142857 div 0 overline 285714 &nbsp &nbsp is equal...

This question belongs to Arithmetic Ability Decimal Fraction
Decimal Fraction
?

$$0.\overline {142857} \div 0.\overline {285714} $$     is equal to :

Answer & Solution
Correct Answer: Option A
$$\eqalign{ & 0.\overline {142857} \div 0.\overline {285714} \cr & = \frac{{142857}}{{999999}} \div \frac{{285714}}{{999999}} \cr & = \left( {\frac{{142857}}{{999999}} \times \frac{{999999}}{{285714}}} \right) \cr & = \frac{1}{2} \cr} $$
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