BEATCALC:  Beat the Calculator!

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Back to Calculation Tips & Tricks
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From the BEATCALC mailing list:
a weekly service from B. Lee Clay, archived here by the Math Forum.
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   Dividing mixed numbers by 2

  1. Select a mixed number (a whole number and a fraction).
  2. If the whole number is even, divide by 2 -
    this is the whole number of the answer.
    • The numerator of the fraction stays the same;
      multiply the denominator by 2.
  3. If the whole number is odd, subtract 1 and divide by 2 -
    this is the whole number of the answer.
    • Add the numerator and the denominator of the fraction - this will be the new numerator of the fraction;
    • Multiply the denominator by 2.

   Even whole number example:

  1. If the first number selected is 8 3/4:
  2. Divide the whole number (8) by 2: 8/2 = 4 (whole number)
  3. Use the same numerator: 3
  4. Multiply the denominator by 2: 4 x 2 = 8 (denominator)
  5. So 8 3/4 divided by 2 = 4 3/8.

   Odd whole number example:

  1. If the first number selected is 13 2/5:
  2. Subtract 1 from the whole number and divide by 2:
    13 - 1 = 12, 12/2 = 6.
  3. Add the numerator and the denominator: 2 + 5 = 7.
    This is the numerator of the fraction.
  4. Multiply the denominator by 2: 5 x 2 = 10.
  5. So 13 2/5 divided by 2 = 6 7/10.


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23 September 1996
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