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I am not quite sure what answer you are looking for, but in decimal notation, one hundredth of an inch is 0.01, which is 1/100. In terms of commonly used western measurement fractions, like 1/2 1/4 1/8 1/16..., it is between 1/64 and 1/128, so to measure with 0.01 precision with those measurements, you would have to use 1/128.

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