Question

Convert $\mathrm{0.585858.....}$ into vulgar fraction

• A. $\frac{58}{9}$
• B. $\frac{58}{99}$
• C. $\frac{0.58}{100}$
• D. None

Answer 1

The correct option is B $\frac{58}{99}$

$\mathrm{0.585858....}$, $58$ is recurring
$\frac{58}{99}$, ($58$ is of length $2$, we have added two nives)
It cannot be reduced further