Functions > Symbolic Functions > Rules for Functions numer and denom
  
Rules for Functions numer and denom
• Any expression is equivalent to itself divided by 1 and therefore, for expressions that do not contain division, numer will return the expression and denom will return 1.
Numerator
Denominator
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• Fractions are not simplified before taking numerator and denominator.
Numerator
Denominator
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* 
Excluding division, other simple arithmetic operations are performed in numerator and denominator.
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• For more than one fraction, the least common multiple of denominators and corresponding sum of the numerators are calculated. No further simplification is done.
Numerator
Denominator
Evaluation
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• When the sum of fractions is present in the numerator or denominator, results are returned as-is, without fractions reductions.
Numerator
Denominator
Evaluation
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* 
To keep the structure of the original expression, kernels (functions) of fraction are not resolved.
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• For explicit fractions, the numerator and denominator are taken as-is without reduction.
Numerator
Denominator
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• General expressions of integers are returned in explicit form without reduction in division.
Numerator
Denominator
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• For expressions with calculus operators (derivative, integral, limit, range product, and range summation) calculation is performed and then above rules are followed.
Numerator
Denominator
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• For expressions with floating-point or complex floating—point numbers, division is performed, and the result is returned as numer. For expressions with floating or complex floating with variables, division is not performed, and the result is returned as a general expression of a complex integer.
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Division of numbers is performed here.
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Division of variables is preserved here.
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