QQ -- the class of all rational numbers

Description

i1 : 1/2 + 3/5

     11
o1 = --
     10

o1 : QQ

Functions and methods returning a rational number :

"QQ * QQ" -- see * -- a binary operator, usually used for multiplication
"QQ * ZZ" -- see * -- a binary operator, usually used for multiplication
"ZZ * QQ" -- see * -- a binary operator, usually used for multiplication
"+ QQ" -- see + -- a unary or binary operator, usually used for addition
"QQ + QQ" -- see + -- a unary or binary operator, usually used for addition
"QQ + ZZ" -- see + -- a unary or binary operator, usually used for addition
"ZZ + QQ" -- see + -- a unary or binary operator, usually used for addition
"- QQ" -- see - -- a unary or binary operator, usually used for negation or subtraction
"QQ - QQ" -- see - -- a unary or binary operator, usually used for negation or subtraction
"QQ - ZZ" -- see - -- a unary or binary operator, usually used for negation or subtraction
"ZZ - QQ" -- see - -- a unary or binary operator, usually used for negation or subtraction
"QQ / QQ" -- see / -- a binary operator, usually used for division
"QQ / ZZ" -- see / -- a binary operator, usually used for division
"ZZ / QQ" -- see / -- a binary operator, usually used for division
"gcd(QQ,QQ)" -- see gcd -- greatest common divisor
"gcd(QQ,ZZ)" -- see gcd -- greatest common divisor
"gcd(ZZ,QQ)" -- see gcd -- greatest common divisor

Methods that use a rational number :

"QQ !" -- see ! -- factorial
"CC % QQ" -- see % -- a binary operator, usually used for remainder and reduction
"QQ % QQ" -- see % -- a binary operator, usually used for remainder and reduction
"QQ % ZZ" -- see % -- a binary operator, usually used for remainder and reduction
"RR % QQ" -- see % -- a binary operator, usually used for remainder and reduction
"CC * QQ" -- see * -- a binary operator, usually used for multiplication
"QQ * CC" -- see * -- a binary operator, usually used for multiplication
"QQ * RR" -- see * -- a binary operator, usually used for multiplication
"QQ * RRi" -- see * -- a binary operator, usually used for multiplication
"RR * QQ" -- see * -- a binary operator, usually used for multiplication
"RRi * QQ" -- see * -- a binary operator, usually used for multiplication
"CC + QQ" -- see + -- a unary or binary operator, usually used for addition
"QQ + CC" -- see + -- a unary or binary operator, usually used for addition
"QQ + RR" -- see + -- a unary or binary operator, usually used for addition
"QQ + RRi" -- see + -- a unary or binary operator, usually used for addition
"RR + QQ" -- see + -- a unary or binary operator, usually used for addition
"RRi + QQ" -- see + -- a unary or binary operator, usually used for addition
"CC - QQ" -- see - -- a unary or binary operator, usually used for negation or subtraction
"QQ - CC" -- see - -- a unary or binary operator, usually used for negation or subtraction
"QQ - RR" -- see - -- a unary or binary operator, usually used for negation or subtraction
"QQ - RRi" -- see - -- a unary or binary operator, usually used for negation or subtraction
"RR - QQ" -- see - -- a unary or binary operator, usually used for negation or subtraction
"RRi - QQ" -- see - -- a unary or binary operator, usually used for negation or subtraction
"CC / QQ" -- see / -- a binary operator, usually used for division
"QQ / CC" -- see / -- a binary operator, usually used for division
"QQ / RR" -- see / -- a binary operator, usually used for division
"QQ / RRi" -- see / -- a binary operator, usually used for division
"RR / QQ" -- see / -- a binary operator, usually used for division
"RRi / QQ" -- see / -- a binary operator, usually used for division
"CC // QQ" -- see // -- a binary operator, usually used for quotient
"InfiniteNumber // QQ" -- see // -- a binary operator, usually used for quotient
"QQ // QQ" -- see // -- a binary operator, usually used for quotient
"QQ // ZZ" -- see // -- a binary operator, usually used for quotient
"RR // QQ" -- see // -- a binary operator, usually used for quotient
"CC == QQ" -- see == -- equality
"QQ == CC" -- see == -- equality
"QQ == QQ" -- see == -- equality
"QQ == RR" -- see == -- equality
"QQ == RRi" -- see == -- equality
"QQ == ZZ" -- see == -- equality
"RR == QQ" -- see == -- equality
"RRi == QQ" -- see == -- equality
"ZZ == QQ" -- see == -- equality
"abs(QQ)" -- see abs -- absolute value function
"QQ * BettiTally" -- see BettiTally -- the class of all Betti tallies
"factor(QQ)" -- see factor(RingElement) -- factor a ring element
"interval(QQ)" -- see interval -- construct an interval
"interval(QQ,QQ)" -- see interval -- construct an interval
"interval(QQ,RR)" -- see interval -- construct an interval
"interval(QQ,ZZ)" -- see interval -- construct an interval
"interval(RR,QQ)" -- see interval -- construct an interval
"interval(ZZ,QQ)" -- see interval -- construct an interval
isMember(QQ,RRi) -- membership test in an interval
"isReal(QQ)" -- see isReal -- whether a number is real
"lcm(QQ,QQ)" -- see lcm -- least common multiple
"lcm(QQ,ZZ)" -- see lcm -- least common multiple
"lcm(ZZ,QQ)" -- see lcm -- least common multiple
"lift(CC,type of QQ)" -- see lift -- lift to another ring
"lift(Ideal,type of QQ)" -- see lift -- lift to another ring
"lift(Matrix,type of CC_*,type of QQ)" -- see lift -- lift to another ring
"lift(Matrix,type of QQ,type of QQ)" -- see lift -- lift to another ring
"lift(Matrix,type of QQ,type of ZZ)" -- see lift -- lift to another ring
"lift(Matrix,type of RR_*,type of QQ)" -- see lift -- lift to another ring
"lift(Matrix,type of RRi_*,type of QQ)" -- see lift -- lift to another ring
"lift(QQ,type of QQ)" -- see lift -- lift to another ring
"lift(QQ,type of ZZ)" -- see lift -- lift to another ring
"lift(RR,type of QQ)" -- see lift -- lift to another ring
"lift(RRi,type of QQ)" -- see lift -- lift to another ring
"lngamma(QQ)" -- see lngamma -- logarithm of the Gamma function
"promote(RR,type of QQ)" -- see promote -- promote to another ring
"round(QQ)" -- see round -- round a number
"toCC(QQ)" -- see toCC -- convert to high-precision complex number
"toCC(ZZ,QQ)" -- see toCC -- convert to high-precision complex number
"toCC(ZZ,QQ,QQ)" -- see toCC -- convert to high-precision complex number
"toCC(ZZ,QQ,RR)" -- see toCC -- convert to high-precision complex number
"toCC(ZZ,QQ,ZZ)" -- see toCC -- convert to high-precision complex number
"toCC(ZZ,RR,QQ)" -- see toCC -- convert to high-precision complex number
"toCC(ZZ,ZZ,QQ)" -- see toCC -- convert to high-precision complex number

For the programmer

The object QQ is a ring, with ancestor classes Number < Thing.