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Math Help - Arrange the numbers 1 to 9 in a fraction which is equal to 1/3...

  1. #1
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    Arrange the numbers 1 to 9 in a fraction which is equal to 1/3...


    Arrange the numerals 1, 2, 3, 4, 5, 6, 7, 8 and 9, in a single fraction that equals exactly 1/3. For example (which don't work), 1234/56789 = 0.0217.

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  2. #2
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    Hey,

    5832/17496 = 1/3.
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  3. #3
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    Is there any formula or method to work this out?
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  4. #4
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    Probably not, just guess-and-check. (Or, use Google search. )

    This reminds me of a problem that was given to our math class in 4th grade. Find a 3-digit number n such that n, 2n and 3n use the digits 1 to 9 exactly once. I was the first to get an answer, which was 327, 654, and 981. I recently found out that this was not the only answer, however. There are three other possible values for n. Can you find them (without using Google )?


    01
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  5. #5
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    another

    5823 / 17469 = 1/3

    Examples of others:
    1/2: 6729 / 13458
    1/4: 3942 / 15768
    1/5: 2697 / 13485
    1/6: 2943 / 17658
    1/7: 2394 / 16758
    1/8: 3187 / 25496
    1/9: 6381 / 57429

    No formula.
    Shortcuts:
    1: find 5digit number = 3 times 4digit number (easier than dividing)
    2: both numbers must be either odd or even
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