Denominator

Denominator

Denominator[ f ] returns the denominator of a fraction.

Usages

Denominator[ f ]

Denominator[ f ] returns the denominator of the fraction f, exactly as it is written. f can be a fraction of numbers, a mixed number or a division of expressions.

Example in out
A fraction. Denominator[ 1/2 ] 2
The fraction is not simplified first. Denominator[ 2/6 ] 6
A negative fraction. Denominator[ -3/4 ] 4
The mixed number -1 2/3. Denominator[ Rational[-1,1,2,3] ] 3
A division of expressions. Denominator[ (x+1)/(x-1) ] x-1
A script variable. x := 22/7
r := Denominator[x]
r = 7
Warning

For anything that is not written as a fraction or division, Denominator returns 1, without an error. This includes integers, decimal numbers, variables, powers with a negative exponent and lists: Denominator[ 0.5 ], Denominator[ x^(-1) ] and Denominator[ {1/2, 1/3} ] all return 1. Use DecimalToFraction to convert a decimal number first, and Map for a list.

See also: Numerator, DecimalToFraction, Map