Question

The value of $0.\overline{2}$ in the form $\frac{p}{q}$ , where p and q are integers and $q\ne 0$ is :

• A. $\frac{1}{5}$
• B. $\frac{2}{9}$
• C. $\frac{2}{5}$
• D. $\frac{1}{8}$

Answer 1

The correct option is B $\frac{2}{9}$

$Letx=.222....Onmultiplyingby10onbothsides10x=\mathrm{2.222....}Onsubtractingbothequations9x=2x=\frac{2}{9}$

Hence,correct answer is option B.