to a fraction. \(0 ... as a number, using a few iterations (repeats) of the decimal. 0.111111111... Call this number \(x\). We have an equation \(x = 0.1111111\)... If we multiply this number ...

It is now possible to manipulate the number to create another equation which can be used to find the fraction. As there is a 1 in every decimal place, it will be difficult to eliminate this ...