Suppose we have the fraction 19/95. To reduce this fraction simple cancel out the nines. 1~~9~~/~~9~~5 = 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.**