@L|}6CD l0C)HCC WhL/h `CmCDiD`  R@W1  Y0@R !L` D  C D     )16CS S)  C)D1 p p 0 C9DI pCDL~CiCDiD` D  C D     )16CS S)  C)D1 p p }0 C9DI pCDL~CiCDiD` DD˙` d J)L !}D L(( LL()  L| L( S LH 0p n  } CY?  q  L L  ` )} `A! d߰")-݆ "  $G@LLL&0") $G% }H0 3S8`G ȱG ȱG   Gȭ Gȭ GG}GHiH8(()) G$H% `(0 })8` d)L ݆ & LGȘ ݆LL d  ! LL d)N>Q  HH) }  hyhyB q L> Lm JJ  Ln*` dB%' }8  H H` 1 { LL   !L     Hh SY?  q  1L }  !? S   q 1 L   Ll  Lg E`L   !L)  q 1L}) `L0AM݊L݉ ML  N݆LLLNLMLHG!@}1F GȱGLLEEȩÑEȑEEȑE Ed E7EȩE  q} L !,0,0SGɛ L 1 !L EHEh W G gLLSROTCES EERF } G) *Gȩ GȽG GȌd q q G`  8   0G  `D}CEDC0X:Ȣ Y ȱC* ? 0.. , 0%n ?A[ 0 : L`L  `, 0`Y}`piH n0)բY? 08`0 }  0$L GGȽG L `8L`L}8`  05G)݁,G)ȱGȱGHh0})Hh` B! 8`8iiiLE`}E8FEh( l0`ɃLL L8^~jj8jHi hEEEiEȱEiE` dTE} H8EEȱEEȩEh J E8   . m  i`LI!)E1FR}1LJ舩9GIH`LJJ`HGHh l`} S gL   8 rii `дCDCG W  }C  Lq` X٨`DOS SYS IIIIIIIIIIIIIIIC`0 ߩ0}}}d |||DDOS DOSDOS SYS }}}}} }CDOS SYS} 0`BDELV !B }`LVUQ   ]   TU J ]L!T  #      TU  } L ? .  t`GBJ V~DEHI B V0dV!}QDEHI VF9 ,0 ,0 s0hhL  L` H hDHEh"}DEL8HI   0 HI,0 0  9 .G VLO#},0 L4*IJ`llD1:AUTORUN.SYSNEED MEM.SAV TO LOAD THIS FILE.D1:MEM.SAV J y08 B|DEHI$} V0 0`B;DELV䌚 !B y`@ʆ v s? F0Ξ05: [ BDEHI%} VY8 B V  @  /DE `E:D1:DUP.SYSERROR-SAVING USER MEMORY ON DISKTYPE Y TO &}STILL RUN DOS B;DE J V (` 9 V⪍ ઍ  -'}LLu DEHILV 9 .l 9 .l  `` s$B VBH(}I|DE V BLV nB,DE J V* \*` B V BLVDEHI BLVL)}1u H232435; 1 ;  hh@2 e1i1LHҍ 00) 08 109hh@ Ҡ2e*}1i1232435ޥ<<8 } 3E:}DISK OPERATING SYSTEM II VERSION 2.0SCOPYRIGHT 1980 ATARIA. DISK DIRECTORY I. FORMAT DISKB. RUN CARTRIDGE J. D,}UPLICATE DISKC. COPY FILE K. BINARY SAVED. DELETE FILE(S) L. BINARY LOADE. RENAME FILE M. RUN AT ADDRESSF. LOCK F-}ILE N. CREATE MEM.SAVG. UNLOCK FILE O. DUPLICATE FILEH. WRITE DOS FILES9!&x#!7&p))'&X*./)L''-؆莟.}R'S  vW DEHHI 1A#! @ ~0ɛ8A0.) ȅ 1 1i/}il ! 1L NO SUCH ITEMSELECT ITEM OR FOR MENU! 0 .{z:*{}.|~ 1 0 00}JB 18L^%|DLl%DIRECTORY--SEARCH SPEC,LIST FILE? # 0 0 n&|D! 1L NOT A DISK FILE1}N !B 1L " 1 !BDED:}:1BJ|DE 1DEBH2}I 1 h0ߢ 0.  0?詛 1 ~0YЛ 1 "L<" "L 3} BL1TYPE "Y" TO DELETE...DELETE FILE SPECCOPY--FROM, TO?OPTION NOT ALLOWED MULTFRACBAS 153 COPYING---D1:MULT4}FRAC.BAS# 0|D .L$A#B#C#JB|DE 1BHIDD#E 1D#0: B5} 1L B#C#C#B# B 1N#$0SYS1}:e#D# d# D# .d#ȽD# d# 𩛙d#X# 1,A#6}PdD#ELO- A.BJdD#E 1 1HH 0hh|DL^%1}:e# Lt% e#dD#EL%7} 1 0 . .0% 1L WILD CARDS NOT ALLOWED IN DESTINATION 0 A.|K@C}//3Hu ξL/L DRIVE TO WRITE DOS FILES TO?WRITING NEW DOS FILESTYPE "Y" TO WRITE DOS TO DRIVE 1.?}D1:DOS.SYSERROR - NOT VERSION 2 FORMAT. , &* բ( 1L `[) 0NΞ 0 L1M) 1@} L BAD LOAD FILELOAD FROM WHAT FILE?) 0 0#B 1L WHAT FILE TO LOCK?) 0 0$B 1L WHAT FILE TO UNLOCK?DUA}P DISK-SOURCE,DEST DRIVES?TYPE "Y" IF OK TO USE PROGRAM AREACAUTION: A "Y" INVALIDATES MEM.SAV. h  ,B}  `)  <0 2 2 0  ,   ,,ޢ* 1L ,K* 1 ~0 0C}FINSERT BOTH DISKS, TYPE RETURNERROR - DRIVES INCOMPATIBLE., 1 ~038  , 1L D}, &*  Lz+, 0 , 1 ~0 + Y,0!,0 ,L+ ,mm  v,"ǭE}0Ξ, 05,Lt+L +,Hh` NOT ENOUGH ROOMINSERT SOURCE DISK,TYPE RETURNF}INSERT DESTINATION DISK,TYPE RETURN`    `L,8,0( rG}L1(`ߢ) 1* 1 ~0Y`hhL S SL1) 8`NAME OF FILE TO MOVE?- 0 0|DLtH}% A., 1 <0 0 .@L# .BJ 1  DEHIB V L1 ,5 1 <0,L. I} JB|,A#Pd#DE 1 HI BDEHHII 1 B 1 , 1 <0,0Lf- B VJ},A#P, 1 <0 0L#L ߢ) 1* 1 ~0Yj383}mm ݭK}}`8}``|* ? ɛ,`|:(|/ 1L `DESTINATION CANT L}BE DOS.SYS0 0H{ $22Δ $28/L /) $2 Π $2 0 ξM}hAΞB,0 J 1 BޝDEHI,HDE 1HIHIDELSAVE-N}GIVE FILE,START,END(,INIT,RUN)O X0 1`BDEPHI V` X0H 1 L O}0 0 1L0`PLEASE TYPE 1 LETTER,0`hhL <0 1L0LA1 ,;ɛ7,"ɛ:ݦ1ݥP}A"D|ݤD|ȩ:|ȩ|ɛ,,(/+.ީ1 1,ɛ`轤{Q}NAME TOO LONG B VL ` L1I H1EӝDL1|mDiE` V0`8d/8 i:"2!22 1R} L ERROR- 164ɛ+,' 20*.. өw2 1``2TOO MANY DIGITSINVALIDS} HEXADECIMAL PARAMETER800 0 8 00`,0'D800H,ɛh`2L1NEED D1 THRU D4uT} HEXADECIMAL PARAMETER800 0 8 00`,0'D800H,ɛh`2L1NEED D1 THRU D4uwKKMZOTRPSCRJ1J2LICOPANAAZP1P2W1W2W3WNINGBF1F2E1E2INVTZFNPTETEKCCSNV}LILTZSGNSPPSDFFCRRTSPPGCCRLOCNCDBTFFSA@@A(AVW}B@# @ @ @X}@@ !"A$#$Y}%&'()*+,A-./01234Z}56789:;<=>?@ABC[}DEFGHIJKBQLBPpMARNBsDOBPAQARA1S\}TUVWXGG6-C::hhIįˢ8˕Ͱϑ`, 6-]}6-@'6-@36-A(?6-AVC+Q0@s6-F:@,%AV$F:@,AR()A^}VA$)@K:;-@@7'%@%7%A%; K-@@"/%@@_}$%@G%@@$%@7K ()-@)(Multiplying Fractions)%-@%(With Cancellation*+`}-@@+(_________________-%-@@%( By Don Ross21-@ @1(Microcomputer Workshopsa}<"-@@"((c) 1984A BPP;@0,;@ ,;@@,9@<@,9@<@,;b},9@,;@,;@,;@,;@,;@,;@,;@,;@,Qbb;@,9@c},9@,;@,;@,;@@,;@@,;,;@@,RH-@@&68,-568,-d}D68,-H U;6.     ;67@ <@ ,.>:AU,Z6.  _006.&e}a,,6."That number is not in the problem.b--6.# d6-@f}-@#".68<,-2 6 n8,15,8,22,10,15,10,22s6-@-@#".68<,-2 6 xg}1,3,1,4,4,2,3,2ARAb (}-@@b(BPlease type your first name (up to tenletters) ah}nd press .+6-@(Name: % B`+6.G( }Hi, .G(&This program will give you practi}ice in7%(multiplying fractions and in7( cancelling.**("Do you want instructions (y or n)?.Aj}'A@d.)"@xA@AU (} Al6-@(}'-@@k}N(!How many problems would you like?X Al"A- 6-6-@!6--6-l} @A//(Are you sure you want  problems( (y or n)?HA'A@d4)@m}H"@xA@API6-6-!(}3-@@I(Problem number n}GEN 4 RND #'S-@68,- -@6-P:H:,$@%@,1-@8, o}'68,-1 A0  A 338,$8@,"8@,$8@,A!-@68,-8,! p} A A`ZZ8@,'8@,"8@,)8@,'8@,"8@,'8@,AZZ8@q},'8@,"8@,)8@,'8@,"8@,'8@,A;;8,%8@,%8@,%8@,@r}A@G6-P:H:,$@%@,368@,-8,$= AG A`II8@,'8@,"@)8@s},'8@,"@A (}!(& AH APX ARMAIN MENU AGA:,ASt}AW' " Ap AG' A AW SUBR TO EQUAL FRACTS'S LEN2-@6-%&2u}B:=:8,,,"A (67,.=:8,,68,-8,( A067,. 67%,.=:8,,   $H/8,$8@, *v}8@,$8@, 86. D-@1H(CHANGE TO MIXED FRACTION 6-A:,6-A:,"A-@4w}(=!!%@9%@ $@@,-@8(,%A9@d!!%@9%@$@@x}6-P:', 6%A 66-?:<%A <%A!<A9,!-@($C AG AFP@($Change fray}ction to a  fraction.C(' Ap( AG AFP.A"(Enter whole number part: .6-@8 AA6z}.=:,8( AG AFP(A:,A L-@6(V Ap`(Sorry, .j4,( divided by {} will give you a46-%t=( quotient of 3( plus a fraction.= A`~ (.+ Ap AG! AF|}P+ Ap AG AFP=(Enter new  : *6-@4 A=6.=:,A:,&$A}}- B:,"67@,.7,-C:,@2G!%@9%@ $@@3-@7@ =(G AP AG~} AFPB(Sorry, .:( -  X  = &$.B6-% Ap Ap AG AFP}C$(Enter correct  : 06-@: AC6.=:,A:,A- B:,"67@,.7,-C:,@}2 =!%@9%@$@@3-@7@=( AX AG AFPD(Sorry, .}<(!The denominator does not change. D6-%( Ap AP6-('6-%@( @A}̠қC( }Thank you, .C(#I hope you enjoyed this program.J-(%Here is a total error analysis afte}r=( problemCJ(s7 (:(7@,4(Errors in procedure: 7(!!(Errors in computation: =,(}$Press M for menu, C to continue,=( or E to end.HA'A@d4)@H"@wB@}"@gA@iA`"9AVA$'A@d9AR,Q-@@}?(%Q-@@!;@-@4(=A-@(O AG} AFPTB#(Enter whole number value: /6-@9 AB6.=:,hA:,A`r-@6( AX|} AG AFP4(Sorry, ,"(/1=*6-%4 Ap A*CRS TO 144-@@$}\ AGPfBLK FROM TS DOWNp$ AG`!-@%@$$#6-@#BLK FRM 16 TO BOT?6-$@@}%<6-?:<%<%%@<A Y&,?$PRNT ORIG. PROB%-@%+8, ,@%(8,1$-@#%+8@}, ,@1(8@,S-@@( X;8@,)8@,M-@@S(X-@#@}$( =@8@,)8@,R-@#@X(1$-@%+8@, ,@1(8@,1}$-@#%+8@, ,@1(8@,PRNT WRK AREA PROB A-@@(,-@@ },( 7<@, 2-@"@ 2( 7@<@, A-@( X/8,)8@,;}-@A(L-@#( =:8@,)8@,F-@#L(2-@@2( 7@}<@, 2-@"@2( 7@<@, $PPRNT MAIN MENUR-@(Z-@}(_4-@@4(  (or S to stop):n--@@-(1) Cancel or reducex%-@@}%( 2) Multiply}&-@@!&(   : RA'A@d.):"@H6-&@}R A!! @I)!@PARP6.=:&@H,(-@@P $PRNT CANCEL INSTRS.}ASA:,"@AP[ AG-@@?(There is nothing to cancel.G6-%Q Ap[ }AG AR ASK-@@=(#Type in numbers to be cancelled orK( reduced.5( First numb}er: %6-@/ A56- 6-6- AM"@ AG+-@@/(9 ApC AG}M ASD-8<@,%8<,%'6-%&46.7<%,> A D6-U AG-@@G(#Type in num}bers to be cancelled orU( reduced.&( Second number: &6-@ A6.=:,+ 6-A:,6-6.=:,}% A+6- "6-@ AS`;;+%@*%@,)"@)"@AS`L AP AG})-@@L(You may only cancel diagonally'(or reduce up and down.'6-%+ Ap AG! AP}+ ASM"@ AG+-@@/(9 ApC AGM ASP>-8<@,%8<,%'6-}%&46.7<%,> A  Ah"AT! AG AP! ASC AG AFP=(Enter }replacement for 8,: C6-"76-@(6-@'6-@1 A76-6<-@@<(Enter repl}acement for 8,: ;76-@(6-@'6-@1 A76-E 6-PATH TO BE REDUCEDJ6-8,'8,}6-8,'8,O"*"AUT AG AFPX 6-%Y>>(8, is the largest factor of 8, and 8},.Z..(8, / 8, = 8,'8, and \))(8, / 8, = 8,'8,.^+ Ap AG! AP}+ AS|& 68,-6-%&&67<%,.=:,& 68,-6-%&&67<%,.=:, A`$ AP AG}'$ ADMULT FRACTS.N AGS11S2 SWITCH STOPS MULT TIL ALL CNCL'N IS DONEX;;8,%8@,%8@,%}8@,"@AWP]-@@b/ 6-/(!It is better to cancel or reducegG+(#first. This makes numbe}rs smallerG(and easier to multiply.h 6-%$v AG-@@&&(Enter product of  }:  A6.=:,6-<AR(B:,"-67@,.7,<C:,@2"8,$8@,AX } AG-@@8((Sorry , that is incorrect.06-%86-%" "( Try again." AX55(}8, X 8@, = 8,$8@,. Ap AW`"-@0@ "(   6- AG}-@@(((Enter product of  :  A6.=:,6-<AR(B:,"-67@},.7,<C:,@2%%8@,$8@,AXe"-@0@"(  B/8,$8@, *8@},$8@, ;-@1B( !A AX AG-@@:*(Sorry , that} is not correct.26-%:6-%" "( Try again." AXAA(8@, X 8@, = 8@,$8@},. Ap AX%B AG-@@8(, B ApB-@@/( You} made  error;@B(s( in procedure.B-@@/( You made  error;@B(s}( in computation.( B Ap Ԡ͛ 6-%6-%!6-6-!6-/}6-%@!%6-&@/ A ' ApCHK FOR CNCLu AbzFIND GCF A(1-4) (COMBS.)% 6}-6-@6-% Ad+ 6-6-@!6-@+ Ad16-@6-@'6-@1 Ad}16-@6-@'6-@1 Ad 6--@ 8,6- $8#'S SAME?B 6}-L-@Q-%@V!8,"8,6-6-!6-` j t$8,"8,68,-8,$ }))6-+8, 8,,$8,%+8, 8,,$8, 6-8,6-8, Ae 68,-$d-@6n$'"P:',*'"}P:',!6-$$x  6- $ GCF=1?-@AA+8<,"*8<@,",)+8<,"*8<@,",Ah%}  8,6-$ 6- AG AFP22(, 8, and 8, will not cancel.,,($The la}rgest number that will divide>0( evenly into 8, and 8, is 1.>6-%@ Ap AG$X4}-@@#4(Press  to continue.b0A)0AUApl$@# TO BE CNCL'DA}"AB"*A:,"A:,APJ-@T 8,"$^ h$r "6-| "6-$(#}ӛ2#cY(Q}All problems are created randomly so that a different problem will appearc(each7#r( tim}e. -@@r(MIf you make an error, I will tell you the error and give you an explanation.<#RH(@You will then h}ave as many chances as it takes to get it right.R ApA#j (}-@@j(JIf you can cancel before you multi}ply,you should do so. In fact, I willF#T'(insist that you do so, for theJ(multiplication is then easier.T Ap}K#XX(P}After solving the problem, you will begiven an analysis of your errors.P#``(XYou will then be given the opt}ion of trying another problem or ending the program.U#^T(LIf you decide to end the program, you will be given a tota}l error analysis.^ ApZ#^ (}-@@A(!Would you like to step through a^(sample problem (y or n)?_#C}A'A@d4)@@"@xC$d#@AUn#Š͛s#U( }   }(  /-@I(34 x 25U6-@x#?-@?(%}}#(  #6-@@ 6(34 x 25 = #?-@?(%}#v6-@ AGE('Because 2 and 4 are both divisible byh(2, we should cancel before wev( mu}ltiply.#7 Ap AG7(  (or S to stop):#`!( ) Cancel or reduce7( 2) Multiply`(#Bec}ause we are cancelling, press .#6A")@6@IA#o AG;()Suppose we wish to c}ancel the firs.tY(Type and press .e6-@o Bb#-@$@ (#g AG5(#The sec}ond number we should cancelI(will be the .g(Type and press .#6-@ Bb#-@@}(#i AG5(#Because 2/2=1, the replacement forK(the 2 will be .i(Type and press .#6-@} Bb#i AG5(#Because 4/2=2, the replacement forK(the 4 will be .i(Type and press .#6-@} Bb#3-@$@ (1--@@3(2#W AG4("We are now ready to multiply theC( fr}actions.M ApW AG###(  (or S to stop):#`!( 1) Cancel or reduce6( ) Multiply`(%Be}cause we are multiplying, press .#6A")@6@PA#_ AG6($Now we can multiply} the numerators._($Because 3 x 1 = , type and press#&(.6-@& Bb#-@0@ (3}#p AG8(&Now we can multiply the denominators.c(&Because 2 x 5 = , type and pressp(.$6-@} Bb $>-@0@(10.-@1@4(> AG$F$-+@(&B:,,'@@<( Nicely done,} !F Ap$6-6-$%Ԡқ% B` GENERAL INPUT% 6-A:,%$&?INVERS}E OF INV$&-B:,&'6-@:7<,,%!AU'6-&&"A`6-@2& (>:, $*Ԡ}ś+'%"6-' B +'%"@6-@' B+/!@*!@%6-@ / B} +;%% @**16-@; B*+6-@%+!, B\+)6-%P:H:@,$@,}) B+6-%P:H:@,$@,$,#B%@$.," ($,Very impressive!,,,I see you've been d}oing your homework.,**Too bad your teacher can't see this!,""Very close! Almost perfect!,!!Nearly perfect! Try aga}in!,))Keep trying! You're getting there!,##Keep working! You'll get it!,JJYou're good in computation but need w}ork on the use of procedure.,<<You're good in procedure but need workin computation.,DDDon't get discouraged. You'll }do better on the next one!,55It may help to review the sample problem.,%%These problems are not so easy!6}ԠϠ՛6 BA6, (}-@@,( Please wait.6%D:MENU7x (}-@@x(XPlease }make sure that your disk drive is on and that the proper disk is inserted.7**("When you are ready, type .(7}HA'A@d4)@HAUBA 27 B@:ϠҠԛ:%6-BQ6-}BPp%#BQ0:6-F:A,&@:6-@$P:'@,:(6-F:AV,$AV(6-$AV:6-?:<<}<A#,:%A$F:%A$,: "  :-%&@:"%:   ;#;AV}$;77121,7,24,24,0,255,0,24,24,512,111,0,0,0,255,255,0$;VV0,0,0,28,54,102,126,204,204,0,0,60,54,124,100,204,248,0,}0,60,100,192,192,192,120.;SS0,0,60,54,102,102,204,248,0,0,62,48,124,96,192,248,0,0,62,48,124,96,192,192,08;SS0,60,100,192},220,216,120,0,0,51,51,126,102,204,204,0,0,63,12,24,24,48,252,0,0B;SS63,12,12,216,216,112,0,0,54,54,120,112,216,216,0,0,48,}48,96,96,192,248,0,0,54L;ZZ127,107,99,198,198,625,22,51,59,127,110,206,204,0,0,28,102,102,204,204,120,0,0,60,54V;ZZ102,12}4,192,192,649,30,28,54,102,204,220,120,12,0,60,54,102,124,204,204,0,0,30,51,56`;XX28,204,120,0,0,63,12,24,24,48,48,681,46,5}1,115,102,198,204,120,0,0,198,198,204,220j;RR248,112,0,0,99,99,195,214,254,108,0,0,51,54,28,56,108,204,0,0,51,54,28,24,48t};''48,0,0,126,6,28,112,192,252,-1,-1>̠Ԡś>%6-@e6-@% B`@>ENTER HERE FOR NUM}BERS>6-@H6-@W>: 6.6-(AR@:AdAU>6-@6-@c>)A}@d)(>:@2%,>GA*F:Ad, AU7)@=6.G Ba>A6-&@ }@+6-@c&76-@A B``> B`p>!!A&)"Ba> "@6. Ba>}6.7@<&@,>&(  6-&@& B`P>!!AU)"Ba > (  $> )!B`}P>00F:@,"@8)+"*!,B`P?'"@*!'6-%@2 ?+6-%@67,.>:,#6.}+(>:,? B`PH?ΠԠśM?-6-"@'6-@-6-R??AR@'Ad}AU36-@?6-@c\?)A@d)(>:@2%,f?MA*F:Ad, AU7)@}M"%@HBcp?A6-&@ @+6-@c&76-@A Bb z? Bb0?%6-}(>:,% Bb?"A( $?!6-A(>:,! BbD:MULTFRAC.BASFNPTETEKCCSNc:j]]SCRCMCMKMODBGAPACONPF1F2F3BGWADE1E2EEAZBFCTDFFFEENP1LP2IW1 }CW2W3WNFSF1SNPF2PSFFCRRSPPZZLGCSHTWSCRLOCNCTONZBTFFFTZAGLZZZB }@A$A Ai Ai @ @ @ @AU }A! }!"#@$%&'()*+,-./ }0123456789:;<=>? }@ABCDEFGHIJKLMNO }PQRSTBQUBPpVARWBsDXBY@Z[\]^ }_`abcde@fghij GG6-C::hhIi }̨ˢ8˕Ͱϑ`, X (}$0@F6-F:@,%AV$F:@,XAVA }$8AR@(8@@K:0-@906-@@$P:?`$,S%A( }'%@9%A(=%A Y&A(S%A &A(( 2,-@@,(DIVIDING FRACTIONS3,-@ }@ ,(__________________4%-@@%( By Don Ross71-@ @1(Microcomputer Workshops8 }"-@@"((c) 19849% BP!-@A% <;@,9@,9@,9@,9@ }<@,9@<@,;@,;@@,;@5,;@5,;@,;@ ,;@,;@,;@ },Fhh;@,;@,;@,;@,;@,;@@,;@,;@,;@,Kf-@ }@&68,-568,-D68,-H W68,-f68,-d (}-@@ d(CPlease }type your first name (up to tenletters) and press .(Name: 6-@ B`6.B( }Hi, }.B(#This program will give you practice!!(in dividing fractions.--(%Would you like instructions (y or n)? } TA@d'A4)@@"@J BT A *@xA/ ԛ4B }-@@+-@@/":68<,-> B >B-@@+-@@/":68<,-> B }H8,15,8,22,10,15,10,22R1,3,1,4,4,2,3,2l6-@(}'-@@N(!How many problems would you like? }X Al"A M6-6-'6-36-96-M @A 0=.(Are you } sure you want  problems=( (y or n)?HA@d'A4)@H"@xA  }@A 6-%@1 (}-@@1(Problem number '6-6-'6- }*-@@&68,-* -@@%%6-P:H:@,$@%@,(-@@ }("8,A  68,-''8,"@)8,"@A  998@,'8@,"8@,'8@ },A ;-@@;8,"@)8,"@A   II8@,'8@,"@)8@,' }8@,"@A $ A.##ԠȠ(BEFORE INVERSE)8%6-@ A2p%6-=ZZ8@ },'8@,"8@,)8@,'8@,"8@,'8@,A u>ZZ8@,'8@,"8@,)8@,' }8@,"8@,'8@,A uBAA8@,%8@,%8@,%8@,@ALI%6-P:H:@, }$@%@,?68@,-8@,$I A`V Ap` Aj@:,"@'ACt""A:,A@ }A%A8P~ A  A 6.  006.&O%6.There is } nothing to cancel.O6.#That number is not in the equation.̠͛%6-6-@% A }( }   (  7*-@%+8@, @,@7(8@,7*-@#%+8@, @,@ }7(8@,= 6.48@, @*8@, @=6. -@@( /= 6.48 }@, @*8@, @=6.  -@#@( =7*-@%+8@, @,@7(8@ },7*-@#%+8@, @,@7(8@,(ˠ2" A<%6-!-@ }@%(F2-@@ 2( 7@<@, P2-@"@ 2( 7@<@, Z= 6. }48@, @*8@, @=6. d!An)-@@( /) Ax-@ }@( X= 6.48@, @*8@, @=6. "-@#@"( = 2-@ }@2( 7@<@, 2-@"@2( 7@<@ , -@(- }@(6-%@6-@$ΠƠ̠9-@@#6.=:8,,- A968,- }8,6"@6. ,67@,.=:8,,6 A   $ A% m@ A% K(-Sorry...recip }rocation occurrs only once.Y6-%@c A1m A D AD(1Input   of reciprocated fra }ction: " A, 6-@AA"8@,)"8@,)"8@,)"8@,A J@,($That number is not in } the equation.6 A1@ A@T^3 A3( Input reciprocated  : h A| 6-GG+"8 }@,)"8@,)"8@,)"8@,,*A@,($That number is not in the equation.6 A1@ A0 } 6.=:,''8@,)8@,A l A1(You must reciprocate or invertJ(the second } fraction!T A1b6-%@l A@''"8@,*"8@,A@n A7(%Reciprocation must occur } only in theL(second fraction!V A1d6-%@n A@!68@,-!68@,--6-%@6-% !}@-6-%@ A% $4-@@4(  (or S to stop):0-@@0(1) Reci "}procate divisor--@@-(2) Cancel or reduce%-@@!%( 3) Multiply&-@@#&(  #}  : &4A'A@d4)@:'"@6-&@' AD!! @I)!@Q $}A0N 6.>:,(X-@@@ b$v ě' ' '(}( Thank you, .**("I hop %}e you enjoyed this program.--(%Here is a total error analysis after&( problem@&(sp (:2($ &}Q(Errors in procedure: p(Errors in computation: 36-6- '}'6-36-;)(!Type M for menu, C to continue,;( or E to end.HA@d'A4) (}@H"@wB@"@gA @iArbAVA$'-@@P($ )}b-@@!ŠϠĠӛ 6-A:,6-A:,"@A$  *}-@3@(= $-@8@ $(  6-P:',*H A% -@@H($Change frac +}tion to a  fraction.>-#(Enter whole number part: - AR- A% -@@-A!`\#-@5 ,}@6.=:,#(f A"0p(Sorry, .9+( divided by  will give you a96-%@>( -}quotient of 4( plus a fraction.> A"  ( 3 A1 A% )-@@3 A! A% .}-@@((Enter new  : ( A&$A"8 6.=:,B:,"@!6.)6. 86 /}7@,.#-@7@ (# A#  A% -@@H(Sorry, .:( -  X  = 0} &$.H6-%@  A1 A"0  A% -@@ .$(Enter correct  : . A 1}. A#8 8 6.=:,B:,"@!6.)6. 867@,.B -@7@(L ACV  A%  2}-@@` H(Sorry .:( The denominator does not change.H6-%@j  A1 A# t -@4 3}@(=   A% -@@ -#(Enter whole number value: - A A$ , 6.=:,- 4}@6@"(, AC  A% -@@ ?(Sorry, , ('(/1 = 56-%@? A1 5} A$@ ( ś ( 6-6-@ A%6-($ $ ̠ӛ #! A% 6}# A& (  A&- [ A% 6($Incorrect. In fractional division,[(    must occur before 7}/ ''(cancellation or multiplication.2 /6-%@ A1% A% / A < A2pF A&P & 8}A:,"@ A% & A@Z &A:,"@ A% & A@d E A% -@@#(16-%@;  9}A1E A% n  A A& x -@@ :+(#Type in numbers to be cancelled or:( reduced:  +( :} First number: !6-+ A < 6.=:,6-6-&6.0,6-6 A1<6- M"@ A% +- ;}@@/(9 A1C A% M A& b/-8<@,%@8<@,%@R6.7$@&@<$@ <},\ Ab6- o A% -@@G(#Type in numbers to be cancelled orV( reduced: o( First num =}ber:  :-@@!*(Second number: 06-: A 4 6.=:,6-@6-$6-. A146-  " >}6-@ A(0 99%@*%@)"@)"@A(0 W A%  A ! A% 3-@ ?}@W(You may only cancel diagonally ,(or reduce up and down.,6-%@ + A1 A% ! A + A& @} M"@ A% +-@@/(9 A1C A% M A'P \/-8<@,%@8<@,%@ A}R6.7$@&@<$@,\ A" A7 , "A(6 ! A%  A ! A%@ E A B}% -@@E(Enter replacement for 8,: J  6- A^ 6-r **(Enter replacement for 8, C}: | A 6- нؠȠƠΛ 6-8,'8,6-8,'8, "*"A0`  A%  D}-@@ 6-%@ >>(8, is the largest factor of 8, and 8,. ,,(8,/8, = 8, E}'8, and  ''(8,/8, = 8,'8,. + A1 A% ! A + A% ( 68,-6-6.=:8, F},( A ( 68,-6-6.=:8,,( A A2p ! A  A% ! A  & ԠΛ0 F- G}@@#4(Press  to continue.FAdAU: HA@d'A4)@HAU H}A10X A% b $l ĠϠŠěv !!"@*A:,"A:,A2@ -@@  8," I}$   $ "6- "@6- $ Πś A3 E"@6- J}8@,668@,-8@,E68@,- A5 ƛ  #A4r6- -@@  " K}6-8,6-8, $!"@$6-8,  "68,- A3u 6-+ ,$%+ ,$*  A6`6 L}8,-/ 8,@6-@4  f 6-%@p $ 1,3,0 1,4,2 2,4,0 2,3,1 76-8@ M},"@-6-8@,7 A5 6-8@, A6` 68@,- 6- -@@ N} 8,@6-@   6-%@ ԮƠӠŠ6--@@ O}-%@@$'8,"8,6-@!6-'6-. 8 B$LĠƛV-@6@`$ P}'"P:',*'"P:',!6-$$j t6-@$ƠƠĠӠ-@@II8<@,"*8 Q}<@,")8<@,"*8<@,"A7` !8,@6-!$+6-@ A% +-@ R}@@2(, 8, and 8, will not cancel.@6-%@,,($The largest number that will divide00( e S}venly into 8, and 8, is 1. A1 A% $ ٠٠ӛ!A8" T}A&( A% 2&&ŠŠǠӠś<AA8@,%8@,%8@,%8@,"@ U}A9PF-@@P56-@5(!It is better to cancel or reduceZ++(#first. This makes numbers smallerd V}(and easier to multiply.i(6-%@ A1% A% ($nx A% -@@&&(Enter produ W}ct of numerators: ;6-@)/8@,$8@, @;6-@0 A8 6.=:,B:,"@!6. X})6. 867@,.`A8@,$8@, @*8@,$8@, @J6. \-@)@`( Y}((A:,"8@,$8@,AA#-@(@ #(  A% -@@H)(Sorry , Z} that is not correct.76-%@E6-%@H(("@( Try again.( AAM@M(8@, X [} 8@, = 8@,$8@,.-@1@ (   A1 A9`:-&@@ :( \} 8@,$8@, 6-" A% -@@,B((Enter product of denominators: B6-@: ]}7@<@,,6;6-@)/8@,$8@, @;6-@0@ A^8 6.=:,B:,"@!6.) ^}6. 867@,.hmW A:,"8@,$8@,4-&@@W( 8@,$8@, r22A:," _}8@,$8@,*A:,!A:,A |((A:,"8@,$8@,AC!-@(@!(   `}A% -@@H)(Sorry , that is not correct.76-%@E6-%@H(("@( Try again a}.( ABM@M(8@, X 8@, = 8@,$8@,.-@2@(  b}A1 AA0M A% -@@9(, that is correct!!C A1M A% B-@@/( You m c}ade  error;@B(s( in procedure.6-%1( You made  error*@1(s!( in d} computation.!6-% AF A1&f6-6-'6-36-B6-I:,N6-Z e}6-f6-06-@P5('6-&@(!AD:"A`? A bD-@0@ f}N @( X(b-@0@l*!@ )!@  (* ADv ( -@0@ g} @( ($"6-6-A:," A1Ԡś'%"6-' A q}B'DOS SYSB*+DUP SYSBUMULTFRACBASBDIVDFRACBASB CBSLOGO BASBMENU BAUTORUN SYSG '%"@6-@' AH/!@*!@%6-@ / AG ;%% @** r}16-@; AH*6-@%+!, AI\)6-%P:H:@,$@,) AI6-%P:H:@,$@ s},$#Ap%@$." ($p AXVery impressive!b,,I see you've been doing your homework.l** t}Too bad your teacher can't see this!v""Very close! Almost perfect!!!Nearly perfect! Try again!))Keep trying! Y u}ou're getting there!##Keep working! You'll get it!JJYou're good in computation but need work on the use of proced v}ure.<<You're good in procedure but need workin computation.DDDon't get discouraged. You'll do better on the ne w}xt one!55It may help to review the sample problem.%%These problems are not so easy!?ԠҠś@ x}3 B` 3GENERAL INPUT- NUMBER ENTRY POINTJ 6-A:,T$'#Ǡ٧қ(#]&67@$&@<@ y}$,./6-B:,Z67@$&@%<@$,. ]$#ҠΠ͠ӠΛ#T%$@@T6-? z}:<%$@@<%$@@%@<A Y&$@@,#-@$S$ŠڤT$ 6-B:,Y$(7<,4 6-& {}@( A^$-@h$16-@:7<,,%A(%"A`16-@2r$ (>:, $'ӠΛ'F- |}@@#4(Press  to continue.FAdAU$'HA@d'A4)@HAU }}B .' A)Ҡӭ֠ڛ )##(  (or to stop):)==(>:@I%A($+"@,,) ~} Reciprocate divisor)::(>:@P%A($+"@,,) Cancel or reduce")33(>:@Q%A($+"@,, ) Multi }ply,)$* ҧӛ*ii(a}All problems are created randomly so that a different problem will appear each time }.+OO(GIf you make an error, I will tell you your error and give you another+\R(Jchance. You will have as many cha }ncesas you need until you get it right!\ B +ll(d}When dividing fractions, you must always (recipr }ocate) the secondfraction first.+==( means to >:@4,turn it upside+5+(down>:@4, -- t }o it.5 B+hh(`}After you the second fraction, you must multiply the two fractions. } +TT(LBut before you multiply, you should cancel. In fact, I will insist that%+E;(3you do so, for the multiplicatio }n is then easier.E B*+UU(M}After the multiplication, I will ask you to put the fraction in /+NN(Ffra }ction form if the numerator is larger than the denominator.4+MC(;For example, 4/3 in fraction form is 1 }13.M B9+TT(L}After solving the problem, you will begiven an analysis of errors.>+TT(LAfter doing a }set of problems, you will be given a total error analysisC+B8(0and the option of doing another set ofproblems.B B }H+_ (}-@@_(?Would you like to step through a sample problem (y or n)?M+CA'A }@d4)@@"@xC$R+@BW+Š͠\+6-@6-@f+O( }  } (  /-@ O(34 / 12 =p+;-(%;(   }z+9-@ @9(34 / 12 = +..(&+''(The first step }is to or+2(( the second fraction.2 B+>6-@ B>( To divisor, press } .+HA@d'A4)@H@IB+< A<(*Because the new numerator is }, type+(and press .+6-@ Bb+= A=(+Because the new denominator is , tyep+ }( and press .+6-@ Bb+--@#@#( X 21- A+JJ(BBecause both 2 and 4 } are divisible by, we should now cancel., B,96-@ B9(To begin to cancel, type .,HA }@d'A4)@H@PB$,E AE(3We must now enter the numbers to be cancel }led..,>>(5The first number is . Type and press .8,6-@ BbB,n-@ @ ()6- }%@3 An(5The second number is . Type and press .L,6-@ BbV,_-@&@ }()6-&@3 A_('Because 4/2=, the replacement for 4`,''(is . Type and press .j,6-@ } Bbt,[ A[(HBecause 2/2=, the replacement for 2 is . Type and press .~,6-@ Bb },w-@ @ (2--@&@3(1= Aw(5We are now ready to multiply the two fractions.,E } B6-@# BE(To begin to multiply, type .,HA@d'A4)@H@Q }B ,l Al(YBecause 3x1=, the product of the numerators is . Type and press ., }6-@ Bb,N-@2@(3% AN($Because 2x1=, the product of the,88(/denominators is . }Type and press .,6-@ Bb,)-@2@ )(2 = ,8 A8(&We must now } change the fraction to a,``(W fraction. The value of the whole number is . Type and press ., }6-@ Bb,k-@6@(1% AR((The value of the numerator is . Typek( and press }.-6-@ Bb -m-@8@(1% AO(%The value of the denominator is .m(Type and p }ress .-6-@ Bb-\-@8@ (2% AD-@&B:,'@@\( Nicely done,  }!(- B2-6-6-$6ԠϠ՛6 BA6, (}-@@,( Please wait. }6%D:MENU7x (}-@@x(XPlease make sure that your disk drive is on and that the proper disk is in }serted.7**("When you are ready, type .(7HA'A@d4)@HAUBA 27 } B@:ϠҠԛ:%6-BQ6-BPp%#BQ0:6-F:A,&@:6-@$P:'@,: }(6-F:AV,$AV(6-$AV:6-?:<<<A#,:%A$F:%A$,: "  :- }%&@:"%:   ;#;AV$;77121,7,24,24,0,255,0,24,24,512,111,0,0,0,255,255,0$;VV0,0, }0,28,54,102,126,204,204,0,0,60,54,124,100,204,248,0,0,60,100,192,192,192,120.;SS0,0,60,54,102,102,204,248,0,0,62,48,124,96, }192,248,0,0,62,48,124,96,192,192,08;SS0,60,100,192,220,216,120,0,0,51,51,126,102,204,204,0,0,63,12,24,24,48,252,0,0B;SS63 },12,12,216,216,112,0,0,54,54,120,112,216,216,0,0,48,48,96,96,192,248,0,0,54L;ZZ127,107,99,198,198,625,22,51,59,127,110,206, }204,0,0,28,102,102,204,204,120,0,0,60,54V;ZZ102,124,192,192,649,30,28,54,102,204,220,120,12,0,60,54,102,124,204,204,0,0,30, }51,56`;XX28,204,120,0,0,63,12,24,24,48,48,681,46,51,115,102,198,204,120,0,0,198,198,204,220j;RR248,112,0,0,99,99,195,214, }254,108,0,0,51,54,28,56,108,204,0,0,51,54,28,24,48t;''48,0,0,126,6,28,112,192,252,-1,-1>̠Ԡś>%6- }@e6-@% B`@>ENTER HERE FOR NUMBERS>6-@H6-@W>: 6.6-(AR@: }AdAU>6-@6-@c>(>:@2%,>YA'A@d<F:Ad, AU }I)@O6.Y Ba>A6-&@ @+6-@c&76-@A B``> B`p>!!A&) }"Ba> "@6. Ba>6.7@<&@,>&(  6-&@& B`P>!!A }U)"Ba > (  $> )!B`P>00F:@,"@8)+"*!,B`P?'"@*! }'6-%@2 ?+6-%@67,.>:,#6.+(>:,? B`PH?ΠԠśR??AR@ }'AdAU36-@?6-@c\?(>:@2%,f?_A'A@d<F:Ad, AU }I)@_"%@HBcp?A6-&@ @+6-@c&76-@A Bb z? Bb0?"A }( $?! (>:,6-A! BbD:DIVDFRAC.BASWADE1E2EEAZBFCTDFFFEENP1LP2IW1 EezK NӠŠϛ*NS +'0@@A0@@S}AR@/N--@@-(  4N--@@-( >N)-@@})( HN*-@@*( RN+-@@+(  \N,-@@},( fN--@@-( pN--@@ -( zN--@}@-(   N--@@-( N,-@@,(SOFTWARE PRESENTS:}N,-@@,( NI-@ @/(Multiplying FractionsA-@@I(andN,-@}@ ,(Dividing FractionsN-@AP N BN%D:MENUNˠқN- (}-@}@-AR@Nbb(ZPlease make sure that your disk drive is turned on and that the proper disk is inserted.O}++(#When you are ready, press .O##@@K:O$)@$AUBP$O@}.O B` D:CBSLOGO.BASNӠŠϛ*NS +'0@@A0@@S#%$ ' +@'0@(@(@##(@} SUCCESS WITH MATH(@!!(@ CBS SOFTWARE2&-@@"(@& <H!(@} 1) MULTIPLYING=(@ FRACTIONSH(@FE(@ 2) DIVIDING:(@ FRACTIONSE(@}K(@ 3) ENDP$(@(@$(@Z%%(@YOUR CHOICE?(1 TO 3)_##@@}K:aA@dd.)@. @I)!@Q@n@ Ax!! A0%@$+&}@I,%D:MULTFRAC.BAS%D:DIVDFRAC.BAS' +'0@:-@@ :( I hope yo}u enjoyed this session!-@@ %D:MENU@(@(@##(@Dq) !"`3!3