/sci/ - Science & Math

>>15111595
Easy :


1/9 = 100/900 = (90 + 10)/(9*100)
1/9 = 90/900 + 10/900
1/9 = 1/10 + 1/90

But...
1/90 = 100/9000 = (90 + 10)/(9*1000)
1/90 = 90/9000 + 10/9000
1/90 = 1/100 + 1/900

Etc. for 1/9000, 1/90000, etc.

Then :
1/9 = 1/10 + 1/100 + 1/1000 + ....
1/9 = 0,1111111....