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  4. The rational number, which equals the number 2 overline357. with recurring decimal is

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Q. The rational number, which equals the number $2 \overline{357}$. with recurring decimal is

Sequences and Series

Solution:

$y=2 . \overline{357}$
$y = 2.357357357$..................(1)
$1000 y = 2357.357357$...........(2)
so $999y = 2355$
$y=\frac{2355}{999}$