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Math Help - Find X

  1. #1
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    Post Find X

    Hey y'all this is my first post here and for forewarning I am horrible at math. Anyway here's the problem I'm having trouble with:

    5 1/6 + x = 7 1/1

    The book says the answer is 1 5/6 and I can tell that's right the problem I'm having is figuring out where the extra whole number disappeared to. Here's how I worked it out:

    5 1/6 - 5 1/6 + x = 7 1/1 - 5 1/6
    x = 7 1/1 - 5 1/6
    7 1/1 * 6/6 - 5 1/6 * 1/1
    7 6/6 - 5 1/6
    x = 7 6/6 - 5 1/6 = 2 5/6

    So my question is how did the book get rid of the extra 1 in the solution? Also if I've done anything else horribly bad please let me know.

    Thanks!

    -El Cid
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  2. #2
    Super Member wingless's Avatar
    Joined
    Dec 2007
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    Istanbul
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    Writing 5\frac{1}{6} as 5 + \frac{1}{6} will make it easier (same goes for 7\frac{1}{1})

    5\frac{1}{6} + x = 7\frac{1}{1}

    5 + \frac{1}{6} + x = 7 + \frac{1}{1}

    5 + \frac{1}{6} + x = 7 + 1

    5 + \frac{1}{6} + x = 8

    Leave x alone;

    x = 8 - 5 - \frac{1}{6}

    x = 3 - \frac{1}{6}

    x = \frac{18}{6} - \frac{1}{6}

    x = \frac{17}{6}

    x = 2\frac{5}{6}

    Your solution seems true.

    But.. Are you sure that it is 7\frac{1}{1} rather than 7\cdot\frac{1}{1} ? I ask this because if it's 7\cdot\frac{1}{1}, the answer of the book is true.
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