Fractions and the Fraction Constructor - Maple Help

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Fractions and the Fraction Constructor

 

Calling Sequence

Parameters

Description

Calling Sequence

Fraction(x, y)

Parameters

x

-

expression

y

-

(optional) expression

Description

• 

A fraction is represented by the form signed integer / natural number with all common factors removed. Like integers, fractions can be of arbitrary length.

• 

The Fraction(x, y) constructor function returns the following types of objects for the indicated values of x and y.

• 

x if x is already a rational and y is not included in the calling sequence; Fraction(x) returns Fraction(x,1) otherwise.

• 

rational if x and y are integers and y <> 0, representing x/y. If, after reduction to lowest terms, the denominator of this rational is 1, then the result is replaced by the corresponding integer.

• 

Fraction(x1*y2, x2*y1), if either of x or y is a rational, where x1 = numer(Fraction(x)), x2 = denom(Fraction(x)), y1 = numer(Fraction(y)), and y2 = denom(Fraction(y)).

• 

infinity if x = infinity (symbolic) and y > 0 is an integer, or if x = -infinity (symbolic) and y < 0 is an integer, or if x > 0 is an integer and y = 0 (exact). If y = 0, this signals Divide by 0.

• 

-infinity if x = -infinity (symbolic) and y > 0 is an integer, or if x = infinity (symbolic) and y < 0 is an integer, or if x < 0 is an integer and y = 0 (exact). If y = 0, this signals Divide by 0.

• 

Returns the symbol undefined if x and y are both exact integer 0's or are both symbolic infinities.

• 

x if x is a symbolic undefined (y can be anything).

• 

y if y is a symbolic undefined and x is not.

• 

0 if x is finite and y is infinite.

• 

Fraction(Re(x), y) + I * Fraction(Im(x), y) if x is of type nonreal.

• 

unevaluated otherwise.

• 

The numerator and denominator of a rational number are obtained by using the numer and denom routines, respectively.

See Also

constant

convert

float

integer

op

type

type[fraction]

type[rational]

 


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