Say I am given a fraction $\frac{p}{q}$ and wish to express it as a decimal such that the repeating sequence of digits is accurately displayed at least once and preferably twice in the printed output. How would I calculate the machine-precision required in order to do this?
2026-02-23 02:43:37.1771814617
How to Calculate the Precision Required to Exactly Produce the Repeating Sequence of Digits in the Decimal Expansion of a Fraction
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One way of dealing with this would be to consult the sequence https://oeis.org/A051626 this is the Period of decimal representation of 1/q and the period of p/q should be limited at at least this length.