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43 lines
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<!-- Common Lisp HyperSpec (TM), version 7.0 generated by Kent M. Pitman on Mon, 11-Apr-2005 2:31am EDT -->
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<TITLE>CLHS: Section 2.3.2.1.2</TITLE>
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<H1><A REV=MADE HREF="http://www.lispworks.com/"><IMG WIDTH=80 HEIGHT=65 ALT="[LISPWORKS]" SRC="../Graphics/LWSmall.gif" ALIGN=Bottom></A><A REL=TOP HREF="../Front/index.htm"><IMG WIDTH=237 HEIGHT=65 ALT="[Common Lisp HyperSpec (TM)]" SRC="../Graphics/CLHS_Sm.gif" ALIGN=Bottom></A> <A REL=PREV HREF="02_cbaa.htm"><IMG WIDTH=40 HEIGHT=40 ALT="[Previous]" SRC="../Graphics/Prev.gif" ALIGN=Bottom></A><A REL=UP HREF="02_cba.htm"><IMG WIDTH=40 HEIGHT=40 ALT="[Up]" SRC="../Graphics/Up.gif" ALIGN=Bottom></A><A REL=NEXT HREF="02_cbb.htm"><IMG WIDTH=40 HEIGHT=40 ALT="[Next]" SRC="../Graphics/Next.gif" ALIGN=Bottom></A></H1>
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2.3.2.1.2 Syntax of a Ratio</H2> <P>
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<A REL=DEFINITION HREF="26_glo_r.htm#ratio"><I>Ratios</I></A> can be written as an optional <A REL=DEFINITION HREF="26_glo_s.htm#sign"><I>sign</I></A> followed by two non-empty sequences of <A REL=DEFINITION HREF="26_glo_d.htm#digit"><I>digits</I></A> separated by a <A REL=DEFINITION HREF="26_glo_s.htm#slash"><I>slash</I></A>; see <A REL=DEFINITION HREF="02_ca.htm#syntaxfornumerictokens">Figure 2-9</A>. The second sequence may not consist entirely of zeros. Examples of <A REL=DEFINITION HREF="26_glo_r.htm#ratio"><I>ratios</I></A> are in the next figure. <P>
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<PRE>
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2/3 ;This is in canonical form
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4/6 ;A non-canonical form for 2/3
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-17/23 ;A ratio preceded by a sign
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-30517578125/32768 ;This is (-5/2)^15
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10/5 ;The canonical form for this is 2
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#o-101/75 ;Octal notation for -65/61
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#3r120/21 ;Ternary notation for 15/7
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#Xbc/ad ;Hexadecimal notation for 188/173
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#xFADED/FACADE ;Hexadecimal notation for 1027565/16435934
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</PRE>
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<P><B>Figure 2-13. Examples of Ratios</B> <P>
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<P>
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For information on how <A REL=DEFINITION HREF="26_glo_r.htm#ratio"><I>ratios</I></A> are printed, see <A REL=CHILD HREF="22_acab.htm">Section 22.1.3.1.2 (Printing Ratios)</A>. <P>
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