The simplest form of


The simplest form of $0.3 \overline{2}$ is

(a) $\frac{16}{45}$

(b) $\frac{32}{99}$

(c) $\frac{29}{90}$

(d) none of these



(c) $\frac{29}{90}$

Let x = 0.3222222222...          ...(i)
Multiplying by 10 on both sides, we get:
10x = 3.222222222...              ...(ii)
Again, multiplying by 10 on both sides, we get:
100x = 32.222222222...          ...(iii)
On subtracting (ii) from (iii), we get:
90x = 29

$\therefore x=\frac{29}{90}$


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