MCQ
The simplest from of $0.\overline{32}$ is:
- A$\frac{32}{99}$
- ✓$\frac{29}{90}$
- C$\frac{16}{45}$
- DNone of these.
✓
Answer
Correct option: B.
$\frac{29}{90}$
$x = 0.32222...$
$10x = 3.222.....(i)$
$100x = 32.222.....(ii)$
Subtract eq. $(i)$ from $(ii)$
$90x = 29$
$\text{x}=\frac{29}{90}$
$10x = 3.222.....(i)$
$100x = 32.222.....(ii)$
Subtract eq. $(i)$ from $(ii)$
$90x = 29$
$\text{x}=\frac{29}{90}$
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