Express each of the following as a fraction in simplest form - 0-bar -8-

Question

Toppr Admin · Accepted Answer

- x- 0-bar-8- - then- x - 0-8888-1- - -therefore 10x - 8-8888- -2- -On subtracting -1- from -2- we get-9x - 8 -Rightarrow x - -dfrac -8-9- -hence - - 0-bar -8- - -dfrac -8-9- -

Express each of the following as a fraction in simplest form :$$ 0.\bar {8} $$

$$ x= 0.\bar{8} $$ then,
$$ x = 0.8888....-------(1) $$
$$ \therefore 10x = 8.8888... --------(2) $$
On subtracting (1) from (2) we get,
$$9x = 8 \Rightarrow x = \dfrac {8}{9} $$
hence , $$ 0.\bar {8} = \dfrac {8}{9} $$

Express each of the following as a fraction in simplest form :$$ 0.\bar {8} $$

$$ x= 0.\bar{8} $$ then,$$ x = 0.8888....-------(1) $$$$ \therefore 10x = 8.8888... --------(2) $$On subtracting (1) from (2) we get,$$9x = 8 \Rightarrow x = \dfrac {8}{9} $$hence , $$ 0.\bar {8} = \dfrac {8}{9} $$

$$ x= 0.\bar{8} $$ then,
$$ x = 0.8888....-------(1) $$
$$ \therefore 10x = 8.8888... --------(2) $$
On subtracting (1) from (2) we get,
$$9x = 8 \Rightarrow x = \dfrac {8}{9} $$
hence , $$ 0.\bar {8} = \dfrac {8}{9} $$