Question

Find the fractional form of 0.666.... using $\frac{1}{3}$ = 0.3333.....

• A. $\frac{2}{3}$
• B. $\frac{6}{3}$
• C. $\frac{4}{3}$
• D. $\frac{5}{3}$

Answer 1

The correct option is A $\frac{2}{3}$

Given decimal is 0.666....
0.666.... = 2 $\times$ 0.333.....
$\because$ 0.333.... = $\frac{1}{3}$ (given)
$\Rightarrow$ 0.666.... = 2 $\times$ $\frac{1}{3}$
= $\frac{2}{3}$
$\therefore$ Fractional form of 0.666.... = $\frac{2}{3}$