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匿名 發問於 科學及數學數學 · 1 十年前

Maths

將0.083333333333......

化為分數(不要用方程)

更新:

要過程

4 個解答

評分
  • 1 十年前
    最愛解答

    0.083333....=0.08+0.003333...

    0.08=8/100

    0.003333...=3/900

    (for any decimal no which repeat itself, the denominator is usually 9, therefore 1/9=0.1111..., 5/9=0.5555...., if there is a 0 in front of the no. such as 0.03333... then you will need to put a 0 next to the denominator 9 , therefore 0.03333...=3/90, for how many 0 there in front of the no, put the same no of 0 next to 9 in the denominator)

    therefore,

    8/100+3/900=75/900=1/12

    2007-02-09 23:01:04 補充:

    If you have something like 0.030303... try 3/99. Actually you can play around with different combination of 9 and 0 in the denominator, you will get a lot of intersting but well ordered decimal no. Have fun.

  • ?
    Lv 7
    1 十年前

    0.0833333333.....

    = (0.0833333333...x 100) / 100

    = 8.33333.... / 100

    = (8.333333.... x 3) / ( 100 x 3)

    = 25 / 300

    = 1 / 12

  • 1 十年前

    0.08333333333333...

    =0.33333333....... - 0.25

    =1/3-1/4

    =(4-3)/12

    =1/12

    資料來源: Knowing some of the decimal value of special fractions...
  • 1

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    60

    但我唔知過程, 我靠經常用計算機.

    sorry

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