Question

plz ans this sum .. how find

Answer 1

x=0.696969....

100x=69.696969......

subtracting both of them,

99x=69

x=99/69=11/7

Answer 2

$\green{\underline{\huge{Hey \: mate \: ! }}}$

$Let\: x = 0.69......$....eqt (1)

$x = 0.6969.... \\\\ multiply\: both \:side \:100 \\ \implies 100x = 69.69....$
....eqt(2)

subtracting equation (2) from (1)

$100x-x = 69.69.... - 0.69....\\ \implies 99x = 69 \\ \implies x =\frac{69}{99} \\ \implies x = \frac{23}{33}$

Now ,

$\red{\bold{\boxed{x=\frac{p}{q} = \frac{23}{33} }}}$