Question

what is .36 repeating expressed as the quotient of two integers in simplest form?

Answer 1

$x=0.\overline{36}\\ 100x=36.\overline{36}\\ 100x-x=36.\overline{36}-0.\overline{36}\\ 99x=36\\ x=\dfrac{36}{99}\\ x=\dfrac{4}{11}$