0
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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
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