MCQ
The simplest form of $0.12 \overline{3}$ is
- A$\frac{41}{330}$
- ✓$\frac{37}{300}$
- C$\frac{41}{333}$
- Dnone of these
✓
Answer
Correct option: B.
$\frac{37}{300}$
(b)
Let $x=0.12 \overline{3}$.Then, $100 x=12 . \overline{3} \Rightarrow 100 x=12+0 . \overline{3} \Rightarrow 100 x=12+\frac{3}{9} \Rightarrow 100 x=12+\frac{1}{3} \Rightarrow 100 x=\frac{37}{3} \Rightarrow x=\frac{37}{300}$
Let $x=0.12 \overline{3}$.Then, $100 x=12 . \overline{3} \Rightarrow 100 x=12+0 . \overline{3} \Rightarrow 100 x=12+\frac{3}{9} \Rightarrow 100 x=12+\frac{1}{3} \Rightarrow 100 x=\frac{37}{3} \Rightarrow x=\frac{37}{300}$
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