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Syntax of an Integer Syntax of a Rational Syntax of a Float

Syntax of a Ratio

Ratios can be written as an optional sign followed by two non-empty sequences of digits separated by a slash; see Figure~2–9. The second sequence may not consist entirely of zeros. Examples of ratios are in Figure 2–13.

2/3;This is in canonical form
4/6;A non-canonical form for 2/3
-17/23;A ratio preceded by a sign
-30517578125/32768;This is (-5/2)^15
10/5;The canonical form for this is 2
#o-101/75;Octal notation for -65/61
#3r120/21;Ternary notation for 15/7
#Xbc/ad;Hexadecimal notation for 188/173
#xFADED/FACADE;Hexadecimal notation for 1027565/16435934
Figure 2–13: Examples of Ratios

[Reviewer Note by Barmar: #o, #3r, #X, and #x mentioned above are not in the syntax rules defined just above that.]

For information on how ratios are printed, see Printing Ratios.

Backlinks

Constructing Numbers from Tokens, Printing Ratios