Question

Express $0.\overline{245}$ as a fraction in the simplest form.

Answer 1

$x=0.\overline{245}$

$x=\mathrm{0.245245245.....}$

$1000x=\mathrm{245.245245.....}$

$(1000x-x)=\left(\mathrm{245.245245....}\right)-\left(\mathrm{0.245245....}\right)$

$999x=245$

$x=\frac{245}{999}$.