Question

What is the ratio 1.12 turned in to a fraction in simplest form?

Answer 1

`x=1.121212...\ \ \ \ \ |multiply\ both\ sides\ by\ 100\\\\100x=112.121212...\\\\100x-x=112.121212...-1.121212...\\\\99x=111\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=(111:3)/(99:3)\\\\x=(37)/(33)\\\\x=1(4)/(33)\\\\Answer:\boxed{1.121212...=1(4)/(33)}`