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Math Help - This way of division does not give exact answers?

  1. #1
    Junior Member Subliminalmessage's Avatar
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    This way of division does not give exact answers?

    327 divided by 7

    7 does not go into 3, 7 goes into 32, 4 times with 4 remainder, put the 4 remainder ontop of the 7, it becomes 47, 7 goes into 47, 6 times with 5 remainder.

    So why is the answer 46.7, why is it not 46.5?

    Is this way of division wrong?
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  2. #2
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    Re: This way of division does not give exact answers?

    The answer is 46 and 5/7.

    If you want a decimal write 327.000000 and carry one dividing. You will get 46.714285 714825 714825.....
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  3. #3
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    Re: This way of division does not give exact answers?

    This is the same error you were making in your other post. The fact that the remainder is a given digit does NOT mean that digit is part of the quotient. As a tutor said, the fact that you get 46 with remainder 5 means that the quotient is 46 and 5/7. To get more digits append 0s and keep dividing.

    In fact, the only fractions that give "terminating" decimals are those whose denominators have only factors of 2 and 5, such as 1/2, 1/5, 1/10, 1/4, 1/8, 1/25, etc.
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  4. #4
    Junior Member Subliminalmessage's Avatar
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    Re: This way of division does not give exact answers?

    Thanks.
    Last edited by Subliminalmessage; July 3rd 2012 at 02:23 AM.
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