Linked from

The 69 pages that link to Rational number, each with the reason it gives.

• IntegerNarrower topic: Every integer is rational because it can be written with denominator one.

• Diophantine equationNarrower topic: Some Diophantine problems ask for rational points rather than integer solutions.

• Continued fractionNarrower topic: Finite simple continued fractions represent exactly the rational numbers.

• Transcendental numberNarrower topic: Rational numbers are automatically algebraic, so transcendence implies irrationality.

• Diophantine approximationNarrower topic: Rational numbers are the approximants whose closeness to a target is measured.

• Dedekind cutNarrower topic: The cut divides this ordered number system into its lower and upper sets.

• p-adic valuationNarrower topic: The valuation extends the integer exponent by taking numerator minus denominator exponents.

• Egyptian fractionNarrower topic: Every positive rational number admits an Egyptian fraction representation.

• Lowest termsNarrower topic: Different fractions in lowest terms can represent the same rational number only when their signs are handled consistently.

• Repeating decimalNarrower topic: Every repeating decimal is rational, and every rational number has an eventually repeating decimal expansion.

• Erdős–Straus conjectureNarrower topic: Both sides of every proposed identity are rational numbers.

• Niven's theoremNarrower topic: The theorem’s decisive hypothesis is that the sine lies in this number system.

• Von Staudt–Clausen theoremNarrower topic: Bernoulli numbers are rational, so their reduced denominators are defined.

• Wolstenholme's theoremNarrower topic: Reciprocals are rational numbers, and their p-adic divisibility is defined through prime valuations.