Question

Find the fractional form of 0.1818.... using $\frac{1}{11}$ = 0.090909.....

• A. $\frac{18}{11}$
• B. $\frac{8}{11}$
• C. $\frac{2}{11}$
• D. $\frac{3}{11}$

Answer 1

The correct option is C $\frac{2}{11}$

Given decimal is 0.1818....
0.1818.... = 2 $\times$ 0.0909.....
$\because$ 0.0909.... = $\frac{1}{11}$ (given)
$\Rightarrow$ 0.1818.... = 2 $\times$ $\frac{1}{11}$
= $\frac{2}{11}$
$\therefore$ Fractional form of 0.1818.... = $\frac{2}{11}$