What is the rational number equivalent to 1.28? The 1.28 has a line above the 28

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