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Formula Manipulation
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Algebraic Transformations
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Rational Functions
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Denominator
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BUILT-IN MATHEMATICA SYMBOL
Picking Out Pieces of Algebraic Expressions
Tutorials »
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Numerator
ExpandDenominator
Rationals
Rational
See Also »
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Formula Manipulation
Rational Functions
More About »
Denominator
Denominator
[
expr
]
gives the denominator of
expr
.
MORE INFORMATION
Denominator
picks out terms which have superficially negative exponents.
Numerator
picks out all remaining terms.
An exponent is "superficially negative" if it has a negative number as a factor.
The standard representation of rational expressions as products of powers means that you cannot simply use
Part
to extract denominators.
Denominator
can be used on rational numbers.
EXAMPLES
CLOSE ALL
Basic Examples
(1)
Extract denominator of a rational number:
Extract denominator of a rational expression:
Extract denominator of a rational number:
In[1]:=
Out[1]=
Extract denominator of a rational expression:
In[2]:=
Out[2]=
Scope
(6)
Rational numbers:
Rational expressions:
Select terms with syntactically negative exponents:
All exponents syntactically negative:
No syntactically negative exponents:
Denominator
automatically threads over lists:
Options
(2)
Find denominators over integers modulo
m
:
Denominators of trigonometric functions:
Properties & Relations
(5)
Numerator
gives the terms without negative exponents:
An expression is a quotient of its numerator and denominator:
Use
Cancel
to cancel common factors between the numerator and the denominator:
Together
writes an expression as a fraction and cancels common terms:
Use
ExpandDenominator
to directly expand all denominators:
Neat Examples
(2)
Cyclic addition []:
SEE ALSO
Numerator
ExpandDenominator
Rationals
Rational
TUTORIALS
Picking Out Pieces of Algebraic Expressions
MORE ABOUT
Formula Manipulation
Rational Functions
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