in rational number how do we is know which pair of numbers are equal
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Rational numbers can be formally defined as equivalence classes of pairs of integers (p, q) with q ≠ 0, using the equivalence relation defined as follows: (p1, q1) ~ (p2, q2) if and only if p1q2 = p2q1. With this formal definition, the fraction p/q becomes the standard notation for the equivalence class of (p, q).
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Rational numbers can be formally defined as equivalence classes of pairs of integers (p, q) with q ≠ 0, using the equivalence relation defined as follows: (p1, q1) ~ (p2, q2) if and only if p1q2 = p2q1. With this formal definition, the fraction p/q becomes the standard notation for the equivalence class of (p, q).
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