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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