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 a 2-digit number by 3 1/2

  1. Select a 2-digit number.
  2. Multiply the number by 2.
  3. Divide the product by 7.

   Example:

  1. The 2-digit number chosen to divide by 3 1/2 is 42.
  2. Multiply by 2: 2 x 42 = 84
  3. Divide by 7: 84/7 = 12
  4. So 42 divided by 3 1/2 = 12.

   See the pattern?

  1. The 2-digit number chosen to divide by 3 1/2 is 61.
  2. Multiply by 2: 2 x 61 = 122
  3. Divide by 7: 122/7 = 17 3/7
  4. So 61 divided by 3 1/2 = 17 3/7.

If the number chosen is divisible by 7, the answer will be a whole number. For numbers not divisible by 7, a calculator will get a repeating decimal, but your fractional answer will be exact.


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27 March 2000
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