Question

.135 repeating as a fraction

Answer 1

`0.135135135...=0.\overline{135}=0.(135)`



`x=0.(135)\ \ \ \ |multiply\ both\ sides\ by\ 1000\\\\1000x=135.(135)\\\\1000x-x=135.(135)-0.(135)\\\\999x=135\ \ \ \ \ \ |divide\ both\ sides\ by\ 999\\\\x=(135)/(999)\\\\divide\ a\ numerator\ and\ a\ denominator\ by\ 27\\\\x=(5)/(37)`