CLHS: Function NUMERATOR, DENOMINATOR

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Function NUMERATOR, DENOMINATOR

Syntax:

numerator rational => numerator

denominator rational => denominator

Arguments and Values:

rational---a rational.

numerator---an integer.

denominator---a positive integer.

Description:

numerator and denominator reduce rational to canonical form and compute the numerator or denominator of that number.

numerator and denominator return the numerator or denominator of the canonical form of rational.

If rational is an integer, numerator returns rational and denominator returns 1.

Examples:

     (numerator 1/2) =>  1
     (denominator 12/36) =>  3
     (numerator -1) =>  -1
     (denominator (/ -33)) =>  33
     (numerator (/ 8 -6)) =>  -4
     (denominator (/ 8 -6)) =>  3

Side Effects: None.

Affected By: None.

Exceptional Situations: None.

See Also:

/

Notes:

     (gcd (numerator x) (denominator x)) =>  1

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