{VERSION 6 0 "IBM INTEL NT" "6.0" } {USTYLETAB {CSTYLE "Maple Input" -1 0 "Courier" 0 1 255 0 0 1 0 1 0 0 1 0 0 0 0 1 }{CSTYLE "2D Math" -1 2 "Times" 0 1 0 0 0 0 0 0 2 0 0 0 0 0 0 1 }{CSTYLE "2D Comment" 2 18 "" 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "2D Output" 2 20 "" 0 1 0 0 255 1 0 0 0 0 0 0 0 0 0 1 } {CSTYLE "Blue Emphasis" -1 256 "Times" 0 0 0 0 255 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Grey Emphasis" -1 257 "Times" 1 12 96 52 84 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "Maroon Emphasis" -1 258 "Times" 1 12 128 0 128 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Purple Emphasis" -1 259 "Times" 1 12 102 0 230 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "" -1 260 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Dark Red Emphasis" -1 261 "Times" 1 12 128 0 0 1 0 1 0 0 0 0 0 0 0 0 }{CSTYLE "Green Emphasis" -1 262 "Times" 1 12 0 128 0 1 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "" -1 263 "" 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 1 }{CSTYLE "Red Emphasis" -1 264 "Times" 1 12 255 0 0 1 0 1 0 0 0 0 0 0 0 1 }{PSTYLE "Normal" -1 0 1 {CSTYLE "" -1 -1 "Times " 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 } {PSTYLE "Heading 1" -1 3 1 {CSTYLE "" -1 -1 "Times" 1 18 0 0 128 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 4 3 0 3 0 2 2 0 1 }{PSTYLE "Heading 2" -1 4 1 {CSTYLE "" -1 -1 "Times" 1 14 128 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 8 2 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 11 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Output" -1 12 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }1 3 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Maple Plot" -1 13 1 {CSTYLE "" -1 -1 "Times" 1 12 0 0 0 1 2 2 2 2 2 2 1 1 1 1 }3 1 0 0 0 0 1 0 1 0 2 2 0 1 }{PSTYLE "Normal" -1 256 1 {CSTYLE " " -1 -1 "Times" 1 12 0 0 0 1 2 1 2 2 2 2 1 1 1 1 }1 1 0 0 0 0 1 0 1 0 2 2 0 1 }} {SECT 0 {PARA 3 "" 0 "" {TEXT -1 39 "A pictorial representation of fra ctions" }}{PARA 0 "" 0 "" {TEXT -1 37 "by Peter Stone, Nanaimo, B.C., \+ Canada" }}{PARA 0 "" 0 "" {TEXT -1 19 "Version: 27.3.2007" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 8 "resta rt;" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 29 "load procedures for fractions" }}{PARA 0 "" 0 " " {TEXT -1 17 "The Maple m-file " }{TEXT 257 11 "fractions.m" }{TEXT -1 112 ". contains code for procedures which can be used to illustrate fractions and arithmetic operations on fractions." }}{PARA 0 "" 0 "" {TEXT -1 128 "This file can be read into a Maple session by a command \+ similar to the one that follows, where the file path gives its locatio n." }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 37 "read \"K:\\\\Maple/pro cdrs/fractions.m\";" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }} }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 51 "load extra colours and utility \+ routines for colours" }}{PARA 0 "" 0 "" {TEXT -1 17 "The Maple m-file \+ " }{TEXT 257 9 "colours.m" }{TEXT -1 49 ". contains code for utility r outines for colours." }}{PARA 0 "" 0 "" {TEXT -1 128 "This file can be read into a Maple session by a command similar to the one that follow s, where the file path gives its location." }}{EXCHG {PARA 0 "> " 0 " " {MPLTEXT 1 0 35 "read \"K:\\\\Maple/procdrs/colours.m\";" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 69 "A procedure for constructing pictorial representations of fractions: " }{TEXT 0 12 "DrawFraction" }{TEXT -1 1 " " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 19 "DrawFraction: usage " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 0 "" } {TEXT 260 18 "Calling Sequence:\n" }}{PARA 0 "" 0 "" {TEXT -1 22 " \+ DrawFraction( f ) " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 256 "" 0 " " {TEXT -1 11 "Parameters:" }}{PARA 0 "" 0 "" {TEXT -1 2 " " }}{PARA 0 "" 0 "" {TEXT -1 107 " f - a fraction in the form a/b o r a..b, where a and b are positive integers (whole numbers). " }} {PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 256 "" 0 "" {TEXT -1 12 "Descri ption:" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 14 "The procedure " }{TEXT 0 12 "DrawFraction" }{TEXT -1 142 " constructs a diagram to illustrate a fraction as a portion of the area of a circ le using sectors, or as a portion of the area of a rectangle." }} {PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 263 8 "Options: " }{TEXT -1 1 "\n" }}{PARA 0 "" 0 "" {TEXT -1 14 "colour/color=c" }} {PARA 0 "" 0 "" {TEXT -1 23 "This option allows the " }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 259 16 "How to activate:" }{TEXT 256 1 "\n" }{TEXT -1 154 "To ma ke the procedure active open the subsection, place the cursor anywhere after the prompt [ > and press [Enter].\nYou can then close up the s ubsection." }}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 28 "DrawFraction: imple mentation" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 10179 "DrawFraction := proc(ff)\n local n1,d1,n2,d2,Opt ions,clr,shp,pp,e1,alpha,prt,j,theta,\n sector,p1,p2,p3,p4,intpar t,divs,scl,tp,txt1,txt2,mrks,c1,r,\n dc,m1,d,k,rmdr,startopts,nd1 ,nd2,sep1,sep2,v1,u1,u2,u3,e2,\n spc,dots,pd,i;\n\n if not assi gned(`type/color`) then\n error \"the procedure, %1, requires the type 'color' to be defined\",'procname';\n end if;\n\n if not typ e(ff,rational) then\n error \"usual syntax: '%1(a/b)', where a an d b are integers (whole numbers) or '%1(a/b,n)', where a,b and n are i ntegers\",procname;\n end if;\n if type(ff,integer) then\n er ror \"argument must not be an integer (whole number)\"\n end if;\n \+ if ff<=0 then \n error \"the 1st argument,%1, must be positive\" ,ff;\n end if;\n n1 := op(1,ff);\n d1 := op(2,ff);\n if type(n 1,nonposint) then \n error \"the numerator, %1, of the fraction m ust be positive\",n1;\n end if;\n\n startopts := 2;\n k := 1;\n \+ if nargs>=2 then\n k := args[2];\n if not type(k,`=`) then \n if type(k,posint) then\n startopts := 3;\n \+ else\n error \"if the 2nd argument, %1, is not an option , it must be a positive integer (whole number)\",k;\n end if; \n else\n k := 1;\n end if;\n end if;\n d2 := d1 *k;\n \n\n # default values of options\n clr := [red,green];\n i f assigned(_FractionProcColour) then\n for j to min(2,nops(_Fract ionProcColour)) do\n clr[j] := _FractionProcColour[j];\n \+ end do;\n end if;\n if d1<=13 then \n shp := `circle`\n els e\n shp := `rectangle`\n end if;\n if d2<=121 then\n div s := 2\n elif d1<=121 then\n divs := 1\n else\n divs := \+ 0\n end if;\n if shp=`rectangle` and divs=0 then\n scl := tru e\n else\n scl := false\n end if;\n if nargs>=startopts the n\n Options:=[args[startopts..nargs]];\n if not type(Options ,list(equation)) then\n error \"each optional argument must be an equation\"\n end if;\n if hasoption(Options,shape,'shp', 'Options') then\n if not member(shp,\{`circle`,`CIRCLE`,`recta ngle`,`RECTANGLE`\}) then\n error \"\\\"shape\\\" must be ' circle','CIRCLE','rectangle' or 'RECTANGLE'\"\n end if;\n \+ if shp=`CIRCLE` then shp := `circle` end if;\n if shp=`REC TANGLE` then shp := `rectangle` end if;\n end if;\n if hasop tion(Options,divisions,'divs','Options') then\n if not member( divs,\{true,false,0,1,2\}) then\n error \"\\\"divisions\\\" must be false=0, 1 or true=2\"\n end if;\n if divs=fa lse then divs := 0\n elif divs=true then divs := 2 end if; \n \+ end if;\n if shp=`rectangle` and divs=0 then\n scl : = true\n else\n scl := false\n end if;\n if has option(Options,scale,'scl','Options') then\n if scl<>true then scl := false end if;\n end if;\n if hasoption(Options,color ,'tp','Options') or \n hasoption(Options,colour,'tp','Options' ) then\n if type(tp,list(color)) then\n for j to mi n(nops(clr),nops(tp)) do clr[j] := tp[j] end do;\n elif type(t p,color) then\n clr[1] := tp;\n else\n e rror \"color option must be colour or a list of colours\"\n en d if;\n end if;\n if nops(Options)>0 then\n error \" %1 is not a valid option for %2\",op(1,Options),procname;\n end i f;\n end if;\n\n for i to 2 do\n if not type(clr[i],color) th en\n error \"incorrect colour data for %-1 colour\",i;\n \+ end if;\n end do;\n\n intpart := iquo(n1,d1,'rmdr');\n if intpar t>0 then \n print(`Improper fraction .. `,``(n1)/``(d1)); \n \+ print(`with integer (or whole number) part .. `,intpart);\n \+ n1 := rmdr;\n print(`Drawing a picture of the fractional part .. \+ `,``(n1)/``(d1));\n end if;\n n2 := n1*k;\n\n if scl then\n \+ dc := convert(n1/d1,decimalfraction);\n print(`Equivalent decima l .. `,dc);\n end if;\n\n if shp=`circle` then \n pp := ceil( 60/d1);\n m1 := pp*d1;\n d := evalf(2*Pi/m1);\n pd := p p*d;\n alpha := evalf((1-n1/d1)*Pi);\n prt := NULL;\n f or j from 0 to d1-1 do\n theta := alpha+j*pd;\n sector := [[0,0],seq([cos(theta+d*i),sin(theta+d*i)],i=0..pp)];\n if j<=n1-1 then\n prt := prt,plots[polygonplot](sector,color= clr[1],style=PATCHNOGRID);\n else\n prt := prt,plot s[polygonplot](sector,color=clr[2],style=PATCHNOGRID);\n end i f;\n end do;\n\n u3 := -1.2;\n nd1 := length(d1);\n \+ sep1 := cat(`_`$nd1); \n if k>1 then\n nd2 := length (d2);\n sep2 := cat(`_`$nd2);\n u2 := u3-nd2/20-0.03; \n u1 := u2-nd1/20-.06;\n txt1 := plots[textplot]([[u1 ,.1,`n1`],\n [u1,-.1,`d1`],[u1,.06,sep1],\n [u3,.1 ,`n2`],[u3,-.1,`d2`],\n [u3,.06,sep2],[u2,0,`=`]],\n \+ font=[HELVETICA,9],color=black); \n else\n u2 := u3- nd1/30;\n txt1 := plots[textplot]([[u2,.1,`n1`],\n [ u2,-.1,`d1`],[u2,.06,sep1]],\n font=[HELVETICA,9],color=bla ck);\n p4 := NULL;\n end if;\n\n if divs>0 then\n \+ r := `if`(d1<14,0,0.0025*d1);\n p3 := plot([[seq([cos(d* i),sin(d*i)],i=0..m1)],\n [[0,0],[cos(alpha),sin(alpha)]], \n seq([[r*cos(alpha+i*pd),r*sin(alpha+i*pd)],\n \+ [cos(alpha+i*pd),sin(alpha+i*pd)]],i=1..n1-1),\n [[0,0] ,[cos(alpha+n1*pd),sin(alpha+n1*pd)]],\n seq([[r*cos(alpha +i*pd),r*sin(alpha+i*pd)],\n [cos(alpha+i*pd),sin(alpha+i* pd)]],\n i=n1+1..d1-1)],color=black);\n\n if k>1 a nd divs>1 then\n r := `if`(d2<14,0,0.0025*d2);\n \+ pd := evalf(2*Pi/d2);\n dots := [];\n for j fro m 1 to d2-1 do\n if irem(j,k)<>0 then\n \+ dots := [op(dots),\n [[r*cos(alpha+j*pd),r*sin(alpha+j *pd)],\n [cos(alpha+j*pd),sin(alpha+j*pd)]]];\n \+ end if;\n end do;\n p4 := plot(dot s,color=black,linestyle=2);\n else\n p4 := NULL;\n \+ end if;\n else\n p3 := plot([[seq([cos(d*i),sin(d *i)],i=0..m1)],\n [[0,0],[cos(alpha),sin(alpha)]],\n \+ [[0,0],[cos(alpha+n1*pd),sin(alpha+n1*pd)]]],\n color=b lack);\n p4 := NULL;\n end if;\n return(plots[displa y]([txt1,prt,p3,p4],\n axes=none,scaling=constrained,view=[ -1.7..1,-1..1]));\n else # shape=rectangle\n e1 := evalf(1/d1); \n c1 := n1*e1;\n p1 := plots[polygonplot]([[0,0],[c1,0],[c1 ,1],[0,1]],\n style=PATCHNOGRID,color=clr[1]);\n p2 := p lots[polygonplot]([[c1,0],[1,0],[1,1],[c1,1]],\n style=PATCHN OGRID,color=clr[2]);\n if divs>0 then\n p3 := plot([seq([ [i*e1,0],[i*e1,1]],i=0..d1),\n [[0,0],[1,0]],[[0,1],[1,1]]],co lor=black,linestyle=1);\n else \n p3 := plot([[[c1,0],[c1 ,1]], \n [[0,0],[1,0],[1,1],[0,1],[0,0]]], \n color=black,linestyle=1);\n end if;\n\n v1 := c1/2;\n nd1 := length(d1);\n sep1 := cat(`_`$nd1);\n\n \+ if k>1 then \n e2 := evalf(1/d2); \n nd2 := le ngth(d2);\n sep2 := cat(`_`$nd2);\n spc := (nd1+nd2)/1 00;\n d := max(spc-v1,0);\n u1 := v1-spc+d;\n \+ u2 := v1+d;\n u3 := v1+spc+d;\n txt1 := plots[textplot ]([[u1,1.35,`n1`],\n [u1,1.15,`d1`],[u1,1.31,sep1],\n \+ [u3,1.35,`n2`],[u3,1.15,`d2`],\n [u3,1.31,sep2],[u 2,1.25,`=`]],\n font=[HELVETICA,9],color=black,linestyle=1) ;\n else\n txt1 := plots[textplot]([[v1,1.35,`n1`],\n \+ [v1,1.15,`d1`],[v1,1.31,sep1]],\n font=[HELVETICA, 9],color=black,linestyle=1);\n end if;\n\n if divs>0 then\n \+ p3 := plot([seq([[i*e1,0],[i*e1,1]],i=0..d1),\n [ [0,0],[1,0]],[[0,1],[1,1]]],color=black,linestyle=1);\n if k>1 and divs>1 then\n dots := [];\n for j from 1 to d2-1 do\n if irem(j,k)<>0 then\n dots \+ := [op(dots),[[j*e2,0],[j*e2,1]]];\n end if;\n \+ end do;\n p4 := plot(dots,color=black,linestyle=2); \n \+ else\n p4 := NULL;\n end if;\n else \n \+ p3 := plot([[[c1,0],[c1,1]],\n [[0,0],[1,0],[1,1] ,[0,1],[0,0]]],\n color=black,linestyle=1);\n p4 := \+ NULL;\n end if;\n \n if scl then\n txt2 := plots[textpl ot]([[0,-.1,`0`],[.2,-.1,`0.2`],\n [.4,-.1,`0.4`],[.6,-.1,`0. 6`],[.8,-.1,`0.8`],\n [1,-.1,`1`]],font=[HELVETICA,9],color=b lack);\n mrks := plot([[[0,0],[0,-.05]],[[.2,0],[.2,-.05]],\n \+ [[.4,0],[.4,-.05]],[[.6,0],[.6,-.05]],\n [[.8,0],[.8,-. 05]],[[1,0],[1,-.05]]],color=black); \n return(plots[display]( [txt1,txt2,mrks,p1,p2,p3,p4],\n axes=none,view=[0..1,-0 .7..1.7]));\n else\n return(plots[display]([txt1,p1,p2,p3 ,p4],\n axes=none,view=[0..1,-0.7..1.7]));\n end i f;\n end if;\nend proc: # of DrawFraction\n\n`convert/decimalfractio n` := proc(ff::fraction)\nlocal num,den,dvd,dgts,rems,dcf,rpt,r,q,ct,z eros,i,k;\n num := numer(ff);\n den := denom(ff);\n dvd := num; \n dgts := [];\n rems := [];\n r := 1;\n dcf := 0;\n for ct \+ to den+1 do\n q := iquo(dvd,den,'r');\n dgts := [op(dgts),q] ;\n dcf := dcf*10+q;\n dvd := r;\n if r=0 or member(r,r ems) then break end if;\n rems := [op(rems),r];\n dvd := r*1 0;\n end do; \n if r=0 then \n Float(dcf,1-ct)\n else\n \+ for k from 1 to den do\n if r= rems[ct-k] then break end \+ if;\n end do;\n if k=1 then\n print(`1 digit is repe ating`)\n else\n print(k,` digits are repeating`);\n \+ end if;\n rpt := 0;\n zeros := 1;\n for i from ct-k+1 \+ to ct do\n if zeros>=0 then\n if dgts[i]=0 then \n \+ zeros := zeros+1;\n else\n zero s := -zeros;\n end if;\n end if;\n rpt := r pt*10+dgts[i];\n end do;\n zeros := -zeros-1;\n dcf := \+ dcf*10^zeros;\n rpt := rpt*10^zeros;\n Float(dcf,1-ct-zeros) ,rpt,`...`;\n end if;\nend proc: # of convert/decimalfraction" }}} {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 12 "Not needed. " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 373 " removeZeros := proc(tt::float)\n \+ local pw,nm,ss,len,j,dpw;\n pw := op(2,tt);\n nm \+ := op(1,tt);\n ss := convert(nm,string);\n len := leng th(ss);\n j := len;\n while ss[j]=\"0\" do\n \+ ss := ss[1..j-1];\n j := j-1;\n end do;\n \+ dpw := len-j;\n Float(nm/10^dpw,pw+dpw);\n end proc;" }} }{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 ";" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 48 "type(..,colour), type (..,color): implementation " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 478 "`type/colour` := proc(cc)\n if t ype(cc,function) and member(op(0,cc),\{'COLOR','COLOUR'\}) then\n \+ if member(op(1,cc),\{'RGB','HSV','HLS'\}) and nops(cc)=4 \n an d type([op(2..4,cc)],list(numeric)) then true\n elif op(1,cc)='HU E' and nops(cc)=2 \n and type(op(2,cc),numeric) then true\n \+ else false end if;\n else \n try\n `plot/color`(cc); \n true;\n catch: false;\n end try;\n end if;\nend proc:\n`type/color` := eval(`type/colour`):" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 39 "Examples are given in the next section." }}{PARA 0 "" 0 " " {TEXT -1 0 "" }}}{SECT 1 {PARA 4 "" 0 "" {TEXT 0 12 "DrawFraction" } {TEXT -1 11 ": examples " }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 1 "; " }}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "Example 1 " }}{PARA 0 "" 0 " " {TEXT -1 27 " A picture of the fraction " }{XPPEDIT 18 0 "3/8" "6#*& \"\"$\"\"\"\"\")!\"\"" }{TEXT -1 2 ". 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" }}{PARA 0 "" 0 "" {TEXT -1 39 "When an improper fracti on is supplied, " }{TEXT 0 12 "DrawFraction" }{TEXT -1 41 " draws a pi cture of the fractional part. 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A scale is \+ also shown in the picture." }}{PARA 0 "" 0 "" {TEXT -1 52 "These two f eatures are controlled with the options \"" }{TEXT 257 20 "divisions=t rue/false" }{TEXT -1 7 "\" and \"" }{TEXT 257 16 "scale=true/false" } {TEXT -1 3 "\". " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> \+ " 0 "" {MPLTEXT 1 0 32 "DrawFraction(29/123,scale=true);" }}{PARA 11 " " 1 "" {XPPMATH 20 "6$\"\"&%6~digits~are~repeatingG" }}{PARA 11 "" 1 " " {XPPMATH 20 "6&%7Equivalent~decimal~..~G$\"&xN#!\"&F%%$...G" }} {PARA 13 "" 1 "" {GLPLOT2D 482 251 251 {PLOTDATA 2 "68-%%TEXTG6&7$$\"+ )yh)y6!#5$\"$N\"!\"#Q#296\"-%'COLOURG6&%$RGBG\"\"!F3F3-%%FONTG6$%*HELV ETICAG\"\"*-F$6&7$F'$\"$:\"F,Q$123F.F/F4-F$6&7$F'$\"$J\"F,Q$___F.F/F4- F$6&7$$F3F3$!\"\"FJQ\"0F.F/F4-F$6&7$$\"\"#FJFIQ$0.2F.F/F4-F$6&7$$\"\"% FJFIQ$0.4F.F/F4-F$6&7$$\"\"'FJFIQ$0.6F.F/F4-F$6&7$$\"\")FJFIQ$0.8F.F/F 4-F$6&7$$\"\"\"F3FIQ\"1F.F/F4-%'CURVESG6$7$7$FHFH7$FH$!3G+++++++]!#>F/ -Feo6$7$7$$\"35+++++++?!#=FH7$FapFjoF/-Feo6$7$7$$\"3A+++++++SFcpFH7$Fi pFjoF/-Feo6$7$7$$\"3w**************fFcpFH7$F`qFjoF/-Feo6$7$7$$\"3U++++ +++!)FcpFH7$FgqFjoF/-Feo6$7$7$FaoFH7$FaoFjoF/-%)POLYGONSG6%7&Fho7$$\"+ xNsdBF)FH7$FdrFao7$FHFao-F06&F2$\"*++++\"!\")FHFH-%&STYLEG6#%,PATCHNOG RIDG-F`r6%7&FcrF]r7$FaoFaoFfr-F06&F2FHFjrFHF]s-Feo6%7$7$$\"3!******pdB xN#FcpFH7$F[tFaoF/-%*LINESTYLEG6#Fbo-Feo6%7'FhoF]rFdsFgrFhoF/F^t-%*AXE SSTYLEG6#%%NONEG-%+AXESLABELSG6%Q!F.F[u-F56#%(DEFAULTG-%%VIEWG6$;FHFao ;$!\"(FJ$\"# " 0 "" {MPLTEXT 1 0 1 ";" }}}}{SECT 1 {PARA 4 "" 0 "" {TEXT -1 10 "Example 6 " }}{PARA 0 " " 0 "" {TEXT -1 27 " A picture of the fraction " }{XPPEDIT 18 0 "23/50 ;" "6#*&\"#B\"\"\"\"#]!\"\"" }{TEXT -1 1 "." }}{PARA 0 "" 0 "" {TEXT -1 1 " " }}{PARA 0 "" 0 "" {TEXT -1 12 "The option \"" }{TEXT 257 10 " scale=true" }{TEXT -1 88 "\" causes a scale to be included in the pict ure and a decimal conversion to be performed." }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 56 "DrawFraction (23/50,color=[brown,aquamarine],scale=true);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6$%7Equivalent~decimal~..~G$\"#Y!\"#" }}{PARA 13 "" 1 "" {GLPLOT2D 502 209 209 {PLOTDATA 2 "6eo-%%TEXTG6&7$$\"+++++B!#5$\"$N\"! 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