Question

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

• A. $\frac{2355}{1001}$
• B. $\frac{2379}{997}$
• C. $\frac{2355}{999}$
• D. $\frac{2355}{990}$

Answer 1

Answer: (C)

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