Question

Find the fractional form of 0.6363.... using $\frac{1}{11}$ = 0.090909.....

• A. $\frac{7}{11}$
• B. $\frac{63}{11}$
• C. $\frac{1}{7}$
• D. $\frac{1}{63}$

Answer 1

The correct option is A $\frac{7}{11}$

Given decimal is 0.6363....
0.6363.... = 7 $\times$ 0.0909.....
$\because$ 0.0909.... = $\frac{1}{11}$ (given)
$\Rightarrow$ 0.6363.... = 7 $\times$ $\frac{1}{11}$
= $\frac{7}{11}$
$\therefore$ Fractional form of 0.6363.... = $\frac{7}{11}$