Is there an analogue of Chinese remainder theorem over the rationals? If I knew the residues modulo a few primes of the numerator and denominator (say $r = x/y$) of a rational number, and if I also know the range in which the rational number lies (say $[a,b]$), can I reconstruct the rational number from this information?
2026-03-25 04:38:10.1774413490
Chinese remainder theorem over rationals
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