Question

Evaluate: $0.\overline{142857}÷0.\overline{285714}$

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $2$
• D. $10$

Answer 1

The correct option is A $\frac{1}{2}$

$0.\overline{142857}÷0.\overline{285714}$

$=\frac{142857}{999999}÷\frac{285714}{999999}$

$=\frac{142857}{999999}\times \frac{999999}{285714}$

$=\frac{1}{2}$