How do we write $0.1234$ $0.1234$ (all $4$ $4$ digits repeating) as a fraction?

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Answer 1 · 2017-04-05T05:12:03

$x = \frac{1234}{9999}$ $x=1234/9999$

Let $x=0.1234123412341234....$

Hence $10000x=1234.123412341234....$

Subtracting former from latter, we get

$9999x=1234$

and $x=1234/9999$

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