Question
The simplest for of $0.\overline{54}$ is:
✓
Answer
- $\frac{6}{11}$
Solutions:
Let $\text{x}=0.\overline{54}$
Then, $\text{x}=54.5454 \ ...(\text{i})$
$\therefore100\text{x}=54.5454 \ ...(\text{ii})$
On subtracting (i) from (ii), we get
$99\text{x}=54$
$\Rightarrow\text{x}=\frac{54}{99}=\frac{6}{11}$
Hence, the correct option is (c).
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