# 0.32¯ when expressed in the form

Question:

0. 32 when expressed in the form $\frac{p}{q}(p, q$ are integers $q \neq 0)$, is

(a) $\frac{8}{25}$

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

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

(d) $\frac{32}{199}$

Solution:

Given that $0.3 \overline{2}$

Now we have to express this number into $\frac{p}{q}$ form

Let $X=0.3 \overline{2}$

$10 x=3+0.2222$

$\Rightarrow 10 x=3+\frac{2}{9}$

$\Rightarrow 10 x=\frac{29}{9}$

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

The correct option is