Question

Find the fractional form of 0.777.... using $\frac{1}{9}$ = 0.1111.....

• A. $\frac{7}{9}$
• B. $\frac{3}{9}$
• C. $\frac{1}{7}$
• D. None of the above

Answer 1

The correct option is A $\frac{7}{9}$

Given decimal is 0.777....
0.777.... = 7 $\times$ 0.111.....
$\because$ 0.111.... = $\frac{1}{9}$ (given)
$\Rightarrow$ 0.777.... = 7 $\times$ $\frac{1}{9}$
= $\frac{7}{9}$
$\therefore$ Fractional form of 0.777.... = $\frac{7}{9}$