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Unusual fractions

Math brain teasers require computations to solve.

 

Fun:*** (2.68)
Difficulty:*** (2.17)
Category:Math
Submitted By:Nishoo

 



What is so unusual about these fractions ?

19/95 26/65 16/64


Answer

Each one can be reduced to its simplest form merely by cancelling the number which is common to both its numerator and its denominator.
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Comments

Posted by supermew30 on Dec 23, 2001

Thats not true with the second one. 65 divided by 26=2.5. There is no such fraction as 1/2.5

Posted by Trev on Feb 04, 2002

actually, what he is saying is that if you take out the 6's it would become 2/5, which is 1/2.5

Posted by Nishoo on Nov 16, 2004

Perhaps I should clarify ... 19/95 = 1/5 when 9 is removed (19x1/19x5), 26/65 = 2/5 when 6 is removed (13x2/13x5), and 16/64 = 1/4 when 6 is removed (16x1/16x4).
Does That Help

Posted by craziigurl1105 on Aug 03, 2005

The way i got it was by dividing 19 by 95, and i got .2, which is 1/5, and i did the same for all of them!
great teaser

Posted by paul726 on Mar 06, 2006

very nice.

Posted by 12345_lewis2 on Jul 04, 2006

quite unusual.

Posted by MarcM1098 on Oct 20, 2006

The only other fraction of 2-digit numbers that can be easily reduced like this is 49/98, although it reduces to 4/8 which is not in the simplest form which is 1/2

Posted by javaguru on Feb 09, 2009

I expect to solve all the math teasers, but it was still quite satisfying that I got this one so quickly.

Cool teaser!

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