Question 102905
should x =  0.18181818...
and 100x = 18.18181818...

100x - x = 18.18181818... - 0.18181818...
99x = 18
x = 2/11

since x = 0.18181818... = 2/11, therefore
3.1818... = 3 + 0.1818...
3.1818... = 3 + 2/11
3.1818... = 35/11

Hope that helps :)