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Questions on changing Mathematica expressions of one type or format to another, for example date formats, Boxes and other typesetting representations, or different units of measurements.

4 votes

How to get exact Rationalize of a decimal number?

I've found, empirically, that I can ensure Rationalize[ ] provides an exact rational conversion of whatever decimal I enter (call it "num") if I evaluate Rationalize[num`z, 0] where: $z \geq 2*\text{ … Alternately, you can also achieve an exact rational conversion using Round[num`y, 10^-y], where (again, empricially), I've found that: $y \geq \text{Length@RealDigits[num][[1]]} + 1$ Thus: Round[0.97646105481464028 …
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