If 8 divided by 330 equals 0.242424 but how get answer?

Answer 1

0.242424.... = 0.24 + 0.0024 + 0.000024 + ....
= 0.24 (1 + 1/1001 + 1/1002 + 1/1003 + .... + 1/100n)

= 0.24 * (the sum of (1+1/100n) from n=0 to infinity)


As |r|<=1, the series converges to a/(1-r). a=0.24, r=1/100.


0.24/(1-1/100) = 0.24/0.99 = 8/33