What is a equivalent rational number to 1.28 repeating?

the line over the 28 means the 28 repeats forever. 1.282828 ... and so on let x be the rational number 1.28 ... we can use this trick: 100*1.282828 ... = 128.282828 ... (the decimal 28 part repeats) 100x = 128.28 ... next: 100x - x = 128.282828 ... - 1.282828 ... the. 282828 ... part will be subtracted away 99x = 127 divide both sides by 99 to get x = 127/99