MCQ
The simplest form of $0.12\overline{3}$ is:
- A$\frac{41}{330}$
- B$\frac{37}{330}$
- C$\frac{41}{333}$
- DNone of these.
✓
Answer
- None of these.
Solution:
Let $\text{x}=0.12\overline{3}$
Then, $\text{x}=0.12333 \ ...(\text{i})$
$\therefore100\text{x}=12.333... \ (\text{ii})$
and $1000\text{x}=123.333... \ (\text{iii})$
On subtracting (ii) from (iii), we get
$900\text{x}=111$
$\Rightarrow\text{x}=\frac{111}{900}=\frac{37}{300}$
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