Write the value of


Write the value of $2 . \overline{134}$ in the form of a simple fraction.


Let, x=2.134134134… …(i)

Multiplying this equation by 1000 on both the sides so that repetitive terms cancel out and we get:

1000x=2134.134134134… …(ii)

Equation (ii)-(i),

⇒ 1000x-x=2134.134134134-2.134134134=2132

⇒ 999x=2132 

$\Rightarrow \mathrm{X}=\frac{2132}{999}$

$2 . \overline{134}=\frac{2132}{999}$


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