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An interesting property of division.


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#1 BMAD

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Posted 05 April 2013 - 03:13 AM

Suppose we have the fraction 19/95.  To reduce this fraction simple cancel out the nines.  19/95 = 1/5  The cool thing is it doesn't matter how many nines we have on top we can always just cross them out and properly reduce the fraction (assuming that the 1 is preceeding the numerator and a 5 is following the denominator)

 

for example:

 

199/995 = 1/5

19999/99995 =1/5

and so on...

 

Same accounts for
16/64=1/4=1666...6/666...64

also 26/65 = 2/5, 266...6/666...65 = 2/5,

 

and 49/98 = 4/8, and 499...9/999...8 = 4/8.

 

and 16/64, 19/95, 26/65, 49/98 are all cases that satisfy a such property.

 

And It is easy to prove!  Have at it.
 

 


 


Edited by BMAD, 05 April 2013 - 03:14 AM.

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#2 Kikacat123

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Posted 15 April 2013 - 10:42 PM

What about 29/97, 46/68, 29/95 and others? This property does not apply to them, I think. (You made an interesting discovery, though)

Edited by Kikacat123, 15 April 2013 - 10:45 PM.

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#3 BMAD

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Posted 16 April 2013 - 12:32 AM

I never meant to suggest the property applies to every combination. Just the ones I listed.
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#4 BMAD

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Posted 18 April 2013 - 06:46 PM

Spoiler for hint--if you can read code

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#5 Kikacat123

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Posted 19 April 2013 - 01:22 PM

I can only read HTML. What code are you using? Or do you mean code as in a cipher?
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#6 BMAD

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Posted 19 April 2013 - 04:10 PM

I can only read HTML. What code are you using? Or do you mean code as in a cipher?

visual basic


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