/ number → reciprocal

/ numerator &rest denominators⁺ → quotient

number, denominator — a non-zero number.

numerator, quotient, reciprocal — a number.

The function / performs division or reciprocation.

If no denominators are supplied, the function / returns the reciprocal of number.

If at least one denominator is supplied, the function / divides the numerator by all of the denominators and returns the resulting quotient.

If each argument is either an integer or a ratio, and the result is not an integer, then it is a ratio.

The function / performs necessary type conversions.

If any argument is a float then the rules of floating-point contagion apply; see Section 12.1.4 (Floating-point Computations).

(/ 12 4) → 3 
(/ 13 4) → 13/4 
(/ -8) → -1/8 
(/ 3 4 5) → 3/20 
(/ 0.5) → 2.0 
(/ 20 5) → 4 
(/ 5 20) → 1/4 
(/ 60 -2 3 5.0) → -2.0 
(/ 2 #c(2 2)) → #C(1/2 -1/2)

The consequences are unspecified if any argument other than the first is zero. If there is only one argument, the consequences are unspecified if it is zero.

Might signal type-error if some argument is not a number. Might signal division-by-zero if division by zero is attempted. Might signal arithmetic-error.

floor, ceiling, truncate, round