For and rational numbers, say if is an integer. Call the set of congruence classes mod 1, . Show that every rational number is congruent (mod 1) to a rational number with .
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Originally Posted by Zennie For and rational numbers, say if is an integer. Call the set of congruence classes mod 1, . Show that every rational number is congruent (mod 1) to a rational number with . HINT: Use its decimal expansion.
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