Question
Express the following as a fraction in simplest form:
$2.\bar4$
$2.\bar4$
✓
Answer
Let $\text{x}=2. \bar4$
$\therefore\text{x}=2.444\dots(1)$
$\text{10x}=24.444\dots(2)$
On subtracting equation (1) from (2), we get
$\text{9x}=22$
$\Rightarrow\text{x}=\frac{22}{9}$
$\therefore2.4=\frac{\overline{22}}{9}$
$\therefore\text{x}=2.444\dots(1)$
$\text{10x}=24.444\dots(2)$
On subtracting equation (1) from (2), we get
$\text{9x}=22$
$\Rightarrow\text{x}=\frac{22}{9}$
$\therefore2.4=\frac{\overline{22}}{9}$
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