Question

0.33333....-0.188888...=?

Answer 1

let X=0.33......
10X=3.33......

10X=3.33......
- X=0.33......
---–-----–––––––
9X=3

$x = \frac{1}{3} \: \: \: \\ = > 0.33...... = \frac{1}{3}$
let X=0.188....
100X=18.888....
10X=1.888.......

100X=18.888....
- 10X= 1.888....
–––------------------------------
90X =17
$x = \frac{17}{90}$
$\frac{1}{3} - \frac{17}{90} \\ \frac{30 + 17}{90} \\ \frac{47}{90}$