Bar Notation Problem everyone! I came across a problem in math that dealt with bar notation. Does anyone know how, for instance, 1.234(with a bar notation over the 34) is expressed as a fraction? I know already how 1.22(with a bar notation over the 22) is expressed as 1 and 2/9. Any answer would be helpful. Thanks!
HINT:

Let $x=1.2\overline{34}$

$\implies 100x=123.4\overline{34}$

So, $100x-x=123.4\overline{34}-1.2\overline{34}=122.2$



Alternatively, $1.2\overline{34}=1.2+0.01\cdot 0.\overline{34}$

Now, let $S=0.\overline{34}=0.343434\cdots$

$100S=34.3434\cdots$

$\implies 100S-S=34.3434\cdots-0.343434\cdots=34$

$\implies 1.2\overline{34}=1.2+0.01\cdot\frac{34}{99}$
let x=1.23434..... eq.1

so eq.1 mulyiply by 10

10x = 12.3434... eq.2

so eq.2 multiply by 100

1000x =1234.34..... eq.3 

subtract eq.2 from eq.3

1000x-10x = 1234.34-12.34

990x =1222

x=1222/990=611/495