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Examveda

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

A. $$\frac{1}{2}$$

B. $$\frac{1}{3}$$

C. 2

D. 10

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & 0.\overline {142857} \div 0.\overline {285714} \cr & = \frac{{142857}}{{999999}} \div \frac{{285714}}{{999999}} \cr & = \left( {\frac{{142857}}{{999999}} \times \frac{{999999}}{{285714}}} \right) \cr & = \frac{1}{2} \cr} $$

This Question Belongs to Arithmetic Ability >> Decimal Fraction

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