Question

Example 9 : Show that 0.2353535... - 0.235 can be expressed in the form
where p and q are integers and q not equal to 0.
please help me​

Answer 1

$Let,x = 0.2353535....\\\\100x = 23.535353....\\\\100x - x = 23.5353.... - 0.23535....\\\\99x = 23.3\\990x = 233\\\\\huge\black\boxed{x = \frac{233}{990} }$