Question

0.123 bar on 3 can you answer the question

Answer 1

Let x = 0.12333333.....

100x = 12.333333... ------(1)

1000x = 123.333333... -------(2)

On subtracting equation 1 from 2, we get

990x = 111

=> x = 111/ 990

=> x = 37 / 330

Required fraction = 37/330

Answer 2

$let \: \: x = 0.12 \bar{3}$

Hence,


$100x = 12. \bar{3}$


As there is one number under bar, multiply by 10


$1000x = 123. \bar{3}$



Now, Subtract 100x from both sides,


900x = 111


$x = \frac{111}{900}$




Hence,

$0.12 \bar{3} = \frac{111}{900}$