The question cannot be answered because it is ambiguous. It is not clear whether the repeating decimal is meant to be 0.161616... or 0.166666... .
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2/125
0.016 = 016/1000 = 2/125
10101110101 The bits from right to left are defined as1=12=04=18=016=132=164=1128=0256=1512=01028=1And so the answer is1+4+16+32+64+256+1028, I'm sure you can work that out yourself ....1401
.016
Ignore 7 for the moment and place .016 over 1. .016/1 move decimal palaces all the way right to whole numbers, top and bottom 16/1000 factor out 8 8*2/8*125 as factors top and bottom 8 can be canceled 2/125 now bring back in the 7 7 and 2/125 --------------------mixed number