Question

The value of $2.\overline{357}$ is

Answer 1

the value of $2.\overline{375}$ is

$x=2.\overline{357}----\left(1\right)$

$1000x=2357.\overline{357}---\left(2\right)$

equation $\left(2\right)$ -equation $\left(1\right)$

$1000x-x=2357.\overline{357}-2.\overline{357}$

$999x=2355$

$x=\frac{2355}{999}$