Question

Convert a recurring decimal to vulgar fraction.
0.22222... into vulgar fraction.

• A. $\frac{2}{9}$
• B. $\frac{2}{99}$
• C. $\frac{22}{99}$
• D. $\frac{222}{999}$

Answer 1

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

$\mathrm{0.222....}$
The recurring number is $2$
$\therefore$ $\frac{2}{9}$ (the number $2$ is of length 1, so we have added one)
$\frac{2}{9}$ cannot be reduced further