The numer(x) function returns the following results for the indicated numeric formats of x.

The denom(x) function returns the following results for the indicated numeric formats of x.

If x is not numeric, the numer and denom functions are typically called after first using the normal function. The normal function is used to put an expression in the form numerator/denominator where both the numerator and denominator are polynomials. Once x has been normalized, the numer(x) function simply chooses the numerator of x.  The case is similar for denom(x). Note: If x is in normal form, the numerator and denominator have integer coefficients.

If x is not in normal form, Maple converts it into a normal form (not necessarily the same form that would be returned by the normal function) and a common denominator is found so that x can be expressed in the form numerator/denominator.

$\mathrm{numer}\left(\frac{2}{3}\right)$

$2$

$\mathrm{denom}\left(\frac{2}{3}\right)$

$3$

$\mathrm{denom}\left(45\right)$

$1$

$\mathrm{numer}\left(\frac{1}{2.1x}\right)$

$0.4761904762$

$\mathrm{denom}\left(\frac{1}{2.1x+6.5y}\right)$

$2.1x+6.5y$

$\mathrm{numer}\left(\frac{2}{5}+\frac{\mathrm{I}}{6}\right)$

$12+5\mathrm{I}$

$\mathrm{denom}\left(\frac{2}{5}+\frac{\mathrm{I}}{6}\right)$

$30$

$\mathrm{numer}\left(x^2-\left(x-1\right)\left(x+1\right)\right)$

$1$

$\mathrm{numer}\left(\frac{1+x}{x^{\frac{1}{2}}y}\right)$

$x+1$

$\mathrm{denom}\left(\frac{1+x}{x^{\frac{1}{2}}y}\right)$

$\sqrt{x}y$

$\mathrm{numer}\left(\frac{2}{x}+y\right)$

$yx+2$

$\mathrm{numer}\left(x+\frac{1}{x+\frac{1}{x}}\right)$

$x\left(x^2+2\right)$

$\mathrm{denom}\left(x+\frac{1}{x+\frac{1}{x}}\right)$

$x^2+1$

$a≔\frac{1}{x^3}-\frac{1-x+x^2}{x^3}$

$a≔\frac{1}{x^3}-\frac{x^2-x+1}{x^3}$

$\mathrm{denom}\left(a\right)$

$x^3$

$\mathrm{denom}\left(\mathrm{normal}\left(a\right)\right)$

$x^2$

$\mathrm{simplify}\left(\mathrm{denom}\left(a\right)a\right)$

$-x\left(x-1\right)$