Question

Anyone know what 1.27 repeating is as a fraction??

Answer 1

`1.27272727...=1.(27)\\\\x=1.(27)\ \ \ \ |multiply\ both\ sides\ by\ 100\\100x=127.(27)\\\\100x-x=127.(27)-1.(27)\\99x=126\ \ \ \ |divide\ both\ sides\ by\ 99\\\\x=(126)/(99)\\\\x=(126:9)/(99:9)\\\\x=(14)/(11)\\\\Answer:\boxed{1.(27)=(14)/(11)=1(3)/(11) }`