Question

$0.3\overline{2}$ when expressed in the form $\frac{p}{q}$ (p, q are integers $q\ne 0$), is

• A. $\frac{8}{25}$
• B. $\frac{29}{90}$
• C. $\frac{32}{99}$
• D. $\frac{32}{199}$

Answer 1

The correct option is B

$\frac{29}{90}$

$0.3\overline{2}$

Let x = $0.3\overline{2}$ = 0.3222...

10x = 3.222

100x = 32.2222

Subtracting,

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

$\therefore$ $0.3\overline{2}$ = $\frac{29}{90}$