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