What is 0.1 repeating as a fraction?
10x=1.1...x=0.1...Then subtract the two equations from each other:9x=1Solve for x:x=1/9
\(x=0.\overline{1}\\10x=1.\overline{1}\\ 10x-x=1.\overline{1}-0.\overline{1}\\ 9x=1\\ x=\dfrac{1}{9}\)
