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12 June, 07:01

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

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  1. 12 June, 09:13
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    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
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