The recurring decimal 1-overline-263-dots in a fraction form is equal todisplaystylefrac-1262-90-displaystylefrac-1262-99-displaystylefrac-1262-999-none ofthese

Question

Toppr Admin · Accepted Answer

Let x-1-263263263-we multiply it by 1000-Here 3 digits are repeated1000x-1263-263263-xA0- -xA0- -xA0-x-1-263263- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0- -xA0-xA0-999x-1262-gt-x-1262999The recurring decimal-xA0-1-263-xA0-in a fraction form is equal to 1262999

The recurring decimal $1. ¯ ¯¯¯¯¯¯ ¯ 263 \dots$ in a fraction form is equal to
$\frac{1262}{90}$
$\frac{1262}{99}$
$\frac{1262}{999}$
none ofthese

Let $x = 1.263263263$ [we multiply it by $1000$ ]
Here $3$ digits are repeated
$1000 x = 1263.263263$ .....
$x = 1.263263$ ...

$999 x = 1262$
$=> x = \frac{1262}{999}$
The recurring decimal $1.263$ in a fraction form is equal to $\frac{1262}{999}$

The recurring decimal 1.¯¯¯¯¯¯¯¯263… in a fraction form is equal to1262901262991262999none ofthese

Let x=1.263263263[we multiply it by 1000]Here 3 digits are repeated1000x=1263.263263..... x=1.263263... 999x=1262=>x=1262999The recurring decimal 1.263 in a fraction form is equal to 1262999

The recurring decimal $1. ¯ ¯¯¯¯¯¯ ¯ 263 \dots$ in a fraction form is equal to
$\frac{1262}{90}$
$\frac{1262}{99}$
$\frac{1262}{999}$
none ofthese

Let $x = 1.263263263$ [we multiply it by $1000$ ]
Here $3$ digits are repeated
$1000 x = 1263.263263$ .....
$x = 1.263263$ ...

$999 x = 1262$
$=> x = \frac{1262}{999}$
The recurring decimal $1.263$ in a fraction form is equal to $\frac{1262}{999}$