Sunday, June 24, 2012


MAGIC FRACTION OF ODD NUMBER SERIES STARTING FROM ONE

Series of odd numbers starting from 1 is   1+3+5+7+9+11+13+...
Suppose we take the first number of the series as a numerator, we have to take  the Next number in the series as the denominator. Here numerator is 1 and the denominator is 3. 
 The fraction will be 1/3.

  Now the first two numbers of the series are 1+3 as a numerator.
  Next two numbers are 5+7 .Take this as a denominator.   
  The fraction will be (1+3))/(5+7 )=4 /12.
  Reduced fraction = 1/3.
  In the same way continue the process ( 1+3+5)/(7+9+11)=9/27.
  Reduced fraction = 1/3


  SOME OTHER EXAMPLES:

    (1+3+5+7+9+11)/(13+15+17+19+21+23 )

    =36/108 

Reduced fraction is 1/3.

How many numbers we take from the odd number series starting from 1 as a    numerator, and the next same number of the series as a denominator, the reduced fraction is  always 1/3.

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