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11 September, 00:36

How do I change a decimal in to a fraction. 333

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Answers (2)
  1. 11 September, 00:48
    0
    Well, with recurring numbers, like. 333333 ..., instead of the fraction being / 100, it's actually out of 99 surprisingly.

    So in that case, it turns into 33/99

    If it were 0.6667,

    it would be

    66/99
  2. 11 September, 01:00
    0
    For non-repeating decimal

    0.333 = 333/1000

    for repeating decimal 0.333 ...

    let x = 0.333 ... (1)

    multiply x with 10^n where n=number of unduplicated repeating digit.

    in this case only 1 digit which is 3 so we multiply with 10^1 or 10

    so 10x = 3.333 ... (2)

    now

    (2) - (1). 10x - x = 3.333 ... - 0.333 ...

    9x = 3

    x = 3/9 = 1/3 this is the fraction of 0.333 ...
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