3 out of 10 minus 3 out of 100 minus 3 out of 1000

3 out of 10 minus 3 out of 100 minus 3 out of 1000

Sum of equal ratio sequence
3/100+3/1000+...3/1000000000
=(3/100)/(1-1/10)
=1/30
Original formula = 3 / 10-1 / 30 = 8 / 30 = 4 / 15