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PUZZLET 142

Summing Decimal Digits

The decimal equivalent of 104654/104659 runs to many thousands of places. If you add all the decimal's digits together, they will eventually sum to the denominator, 104659. How many decimal places are necessary to reach this sum?

0.99995222579997
8979351990750914
8759304025454093
7711998012593291
2554104281523805
8838704745889030
0881911732388041
1622507381113903
2476901 . . .



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