Express the following as a fraction in simplest form: 0. 8 - Vidyadip

Question

Express the following as a fraction in simplest form:
$0.\bar8$

✓

Answer

Let
$\text{x}=0. \bar8$
$\therefore\text{x}=0.888\dots(1)$
$\text{10x}=8.888\dots(2)$
On subtracting equation (1) from (2), we get
$\text{9x}=8$
$\Rightarrow\text{x}=\frac{8}{9}$
$\therefore0.8=\frac{\bar8}{9}$

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