' +JJJJ ?\>m0M='+l> /+L   d]@ŵLҦ]]LF L}BBL]µL˵H̵Hõ˵ĵ̵ h̵h˵LoµĵL1L 鷎\I귭෍ᷩ췩緈JJJJx LйLmL巬 췌`x (`(8`I`B` ``>J>J>VU)?`8'x0|&HhHh VY)'&Y)xꪽ)' `Hh`V0^*^*>&` aI꽌1Vɭ&Y&&Y& 꽌1\8`&&Jjｌ1ɖ'*&%&,E'з Hh`+*xS&x'8*3Ixix&& 8  '  & x)*++`FG8`0($ p,&"`````````````````````````````````````````````  !"#$%&'()*+,-./0123456789:;<=>?   1 '" *"( (9"1 ( ,.(0# 2  /#0/#0 *?'#07#00/0/'#07#0:"4<*55/**5/*%5/)1/)1/)1/)'#0/#0*5/*75/**5/*:5//#0/#0'#07#0:::*::'#07#0"):$(%"%:$(%"%$$2%4%$$2%4%$(2()!)E(!8b $!H(+ "@H !D)"E` @ $ C ` DQ &J80^݌Hh ü ü݌ ռ ռ ռA ļD ļ? ļAEDE?HJ>h Լ ռ ռ ռ`HJ>݌h Hh݌`葠葠ȔЖȔЖȠHIHHHHhHH݌hHhHh݌H6 VDP (ED Z $0x8x D- ܸDD# H8`?E Vk *f???0xE Hh D#-EEE8` D ܸx D - ܸx8`-0ݩ?ʥD EEE`   LDcpq` [` ~  LLA@@&E&&A@@&AA)߅CBBH&E&&A@B& ChLQhBAȌy8zx8v{v I7H7@)*AL@m{@AAA,+i(ˢ3Z@[A@ /@v wm{@8/e@@eAA3]ͥ@\ƊiY?AyC@B@B|ACLT$VXZdflpx|~**7777(*3]67V<<8:=???@@##topmnU^_R ij^_lk 󅔆nmLY^^ȱ^ȱ^eȱ^e(ӊ0Цe^^Ӝu`".Q`pNФbptťܥm2<(-Py0\|e<6e<g< JJJJj귍hI  aUL@ kU8  L  Q^R(jQ0l^l\  wUuW ԧ H h@ [_ /Q\I\b_L`LLLL`ª`LQLYLeLXLeLee ўQH\(h0L& Ꝥ$`( R \ZLl8 ўR HH\`\Z[YS6`LxQɿu3'RͲʎRʎ]]]ɍuL͟ɍ}RLRɍg^H8 ^hZLɍR LͲɊRR% QLܤͲ Z@ -^ ş\[Z QY\[Z8`l6Lş_Ȍb_Ͳ] )Y h( ֭ͲLɍ [LLĦ__ ^ 9 LҦ3 9 a   0LjLY u< (_9 ˭ɠuɠK_9 ?LˆʎõĵL õ ĵµ aµ`` L̦µ_bJLuLz`  ȟ QlXJ̥KlV  ȟ QlV eօ3L e3L &RL &QL d L4 Ne)n `@-eff Lꢩ f`L . tQLѤ LҦL` OPu d L Ne)noon 8ɍ` ^f\õL ^NR  RΩLҦ)\Z ʽ LHv 3h`0h8` [L NС õ`A@` ŵL^Lõ`  \ 濭0 \  ȟ Q ^\lZl^?cqH şch`fhjõĵ@OAP`u@`@&`QR`E Ls  @DAE@u`8` %@ @A@`@`@A`Mµ ) LЦ`8@AWc@8@-@HAȑ@hHȑ@ȑ@hHȑ@Ȋ@ch8&ȑ@Hȑ@Ah@LHȑ@ȑ@ htphso`hMhL`9V8U897T6S67`INILOASAVRUCHAIDELETLOCUNLOCCLOSREAEXEWRITPOSITIOOPEAPPENRENAMCATALOMONOMOPRINMAXFILEFINBSAVBLOABRUVERIF!pppp p p p p`" t""#x"p0p@p@@@p@!y q q p@  LANGUAGE NOT AVAILABLRANGE ERROWRITE PROTECTEEND OF DATFILE NOT FOUNVOLUME MISMATCI/O ERRODISK FULFILE LOCKESYNTAX ERRONO BUFFERS AVAILABLFILE TYPE MISMATCPROGRAM TOO LARGNOT DIRECT COMMANč$3>L[dmx-(0  Ϡ@跻~!Wo*9~~~~ɬƬ~_ j ʪHɪH`Lc (L ܫ㵮赎 ɱ^_ J QL_Ls贩紎 DǴҵԵƴѵӵµȴ 7 ַ :ŵƴѵǴҵȴµ納贍﵎ٵ്ᵭⳍڵL^ѵ-I `  4 ò-յ!  8صٵ紭ﵝ 7L (0+BC  7L HH`LgL{0 HH` õL H hBL BH [ h`Lo õ ڬL B ڬ LʬH hB@ յյ [L (ȴ) ȴ 7L L ( L (ȴL{ƴѵ洩ƴǴҵ 7 ^* B0 HȱBh ӵԵ 8 L8 ݲ` ܫ  / / ED B / / ]ƴS0Jȴ ȴ)  紅D贅E B ƴ  / 0L Ν `HD٤DEEhiHLGh ` ŵBѵ-` ѵB-` ܫ XI볩쳢8DH E𳈈췍Ȍ X0 · "LǵBȵC`,յp` 䯩 R-յյ`յ0` K R-յյ`ɵʵӵԵ` 4 K ( ѵҵLBȱBL8` DBHBH : ַ޵BȭߵBhhӵԵ RBܵmڵ޵ȱBݵm۵ߵ` 䯩LR˵̵ֵ׵`êĪLR E( 8` R` ELRŪƪ`췌 յյI뷭鷭귭ⵍ㵍跬ª 뷰` Lf ݵܵߵ޵ ^`8ܵ i B8` 4L ֵȱB׵ ܯ䵍൭嵍 ` DȑB׵Bֵ  ַ յյ`굎뵎쵬 뵎쵌``õĵBCõĵ`µµ`L õBĵCصص Qƴ0"Bƴ 󮜳` 0۰ϬBƴ8`i#`ЗLw!0>ﵭ` m ﳐ 7i볍 8 ЉLw`H h ݲL~ `浍국䵍뵩嵠Jm赍嵊mjnnn浈ۭm浍浭m䵍䵩m嵍`"L ŵ8ŵH ~(` i d ֠z# u`5500:14:6:AN;:16:6:LC(Q);:AN9Ģ15:7:A1$"\"A0$;_14:8:" ";:16:8:" ";:14:19(LC(Q)9N(Q,1)(LC(Q)D(Q,1))10):N(Q,1)(LC(Q)D(Q,1))" ";:16:19:LC(Q)" ";:LC(Q)9Ģ15:20:A1$(92)A0$;E_LIĺA1$;REPRESENTED AS ANY NUMBEROVER ITSELF, WHAT NUMBER WILL WE ADD TO THE NUMERATOR OF THE FIRST FRACTION TO ADD 1 TO THE WHOLE FRACTION?":ANLC(Q):7500P^CL$:" W HAT WILL THE ANSWER BE?":ANA(0)AN:7500:W(Q,0)W(Q,0)1:A(0)A(0)LC(Q):H4:V14:CW(Q,0):MODE2):WH\CL$:" S INCE THE FIRST NUMERATOR IS LESS THAN THE SECOND, WE CAN'T SUBTRACT THEM. W E WILL HAVE TO BORROW. T HIS IS DONE BYSUBTRACTING ONE FROM THE WHOLE NUMBER AND ADDING ONE TO THE FRACTION.":5800]CL$:" S INCE 1 CAN BE )4:" X"AN"="LC(Q);:A1AN[ CL$:" W HEN WE MULTIPY THE NUMERATOR BY THE SAME NUMBER, WHAT DO WE GET?":ANN(Q,WH)AN:7500:A(WH)AN[ 14:ST(N,0,WH)4:" X"A1"="AN:WH[MODE2A(0)A(1)03591"\ANA(0):WH1N:ANANA(WH)(MODE1)A(WH)(1)2:A1$(92);:LC(Q)9ĺ(92);\Z A0$;:16:ST(N,0,N1)2:LC(Q);Z LIKEāWH0N:A(WH)N(Q,WH)::3585[ WH0N:CL$:" I N THE "WH$(WH)" FRACTION, WHAT DO WE":"MULTIPLY "D(Q,WH)" BY TO GET "LCD(Q)"?":ANLCD(Q)D(Q,WH):75001[ 16:ST(N,0,WHD(Q)D(Q,0):3550Z CL$:" N OW, WE WILL HAVE TO MAKE ALL THE DENOMINATORS THE SAME BY FINDING THE LEAST COMMON DENOMINATOR (LCD). W HAT ISTHE SMALLEST NUMBER THAT ALL THE DENOMINATORS WILL GO INTO?":ANLCD(Q):75007Z 15:ST(N,0,N, YOU WILL GET THE ANSWER!!":5800GX Q:8000tX FL0:Q03:34,0:CL$:34,17:5520:CL$X " PROBLEM #"Q1X " H ERE ARE "N$(N1)" "MIXED$(MIXED)" FRACTIONS. ":" W E WILL BE "OP$(MODE)"ING THEM.":5800X NN0 Y WH0N:7000:(Y LIKELCELARGEST NUMBER THAT CAN GO INTO BOTH":N$(N(Q,0))" AND "N$(D(Q,0))"?":AN(N(Q,0)NA(Q)):7500W 14:ST(N,0,0)4:A1$;(93);A0$" "AN:16:ST(N,0,0)4:A1$(93)A0$" "AN:X CL$" I F YOU LOOK, YOU WILL NOTICE THAT WHEN YOU COMPLETE THE DIVISION PROBLEMT(N,0,1)2(LC(Q)9):NA(Q);sV CL$:" S O, THE ANSWER IS "N$(NA(Q))" "NT$(DA(Q))".":5800V CL$:" L ET'S TRY TO SIMPLIFY THE FRACTION WITH-OUT THE CIRCLES.":5800vW 34,0:35,11:CL$:34,17:35,24:CL$:" L OOK AT THE FIRST FRACTION. W HAT IS TH5:ST(N,0,1)2:A1$;(92);A0$;:DA(Q)9ĺA1$;(92);A0$;kU 16:ST(N,0,1)2:DA(Q); V CL$:" H OW MANY SLICES WILL WE SHADE SO THAT THE SHADED PART OF THE SECOND CIRCLE IS THE SAME AS THE FIRST?":ANNA(Q):7500:7015:AKNA(Q)1:0:6010:33V 14:S:CL$1T " PROBLEM #"Q1T " A BOVE IS A FRACTION. W E ARE GOING TO TRY TO PUT IT IN SIMPLEST TERMS.":5800T NN0:CL$:WH0:7000:WH1U CL$:" N OW, LOOK AT THE SECOND CIRCLE. H OW MANY SLICES IS IT DIVIDED INTO?":ANDA(Q):7500NU 1(A$)1(A$)52530FS A(A$):A2MIXED(0)1eS A3MIXED(0)1:MIXED(1)1vS A4WHOLE1S A5WHOLE1:MIXED(1)1S FLAS (A2A1)MO4ĺCL$:" D O YOU WANT TO SEE PICTURES?";:A$:A$"Y"LIKE1S 2040T Q03:34,0:CL$:34,17:55209R M$" "MO$(MO)" ":" ";:5900QR MO4M$A1$M$A0$vR " H ERE ARE YOUR CHOICES :"::R "1) FRAC "M$" FRAC"::"2) MIXED "M$" FRAC"::"3) MIXED "M$" MIXED"::"4) WHOLE "M$" FRAC"::"5) WHOLE "M$" MIXED"*S 20:1:" W HAT NUMBER? ";:A$:D(I,0))JD(I,1)(JD(I,1))JD(I,2)(JD(I,2))LCD(I)J:2220^QJQJD(I,0)D(I,0)D(I,1):JD(I,0)(JD(I,0))JD(I,1)(JD(I,1))LCD(I)J:2220QJQI:MODE3500,3500,4000,4000R CL$:15((OP$(MO))2):" "OP$(MO)" FRACTIONS":::I,1)W(I,1)N(I,1))812105PI0NN0:J0I1:J101:NNNN(W(J,J1)W(I,J1)D(J,J1)D(I,J1)N(J,J1)N(I,J1)):J1:NN0NN0:J:2200PI02105PLIKEMODE3N12205PLIKEMODE22220WQJD(I,0)D(I,0)D(I,2)D(I,1):JD(I,0)(JODE2):JROzMODE4(D(I,0)W(I,0)N(I,0))D(I,1)992105OWA(I)0:NNDDWA(I)(NNDD):NNNNDDWA(I)OANN:BDD:5000:NA(I)A:DA(I)BOMODE3FL3WA(I)32105ODA(I)1NA(I)1DA(I)36WA(I)921052PMODE3(D(I,0)W(I,0)N(I,0))(D((8)A1$(92)A0$;,nk:nSIMPLIFYBnK2[nK1B:K0K:K01K02hnKK0K1n(AK)AK(BK)BKAAK:BBK:5020nK:nPRINT CHOICEnK14:K0(K1)78n20:K0:CH$(K)")";oV19:H(36)1:CA(K):5500o19:K05:B(K);RSIMPLIFED DENOMINATOR BE?":ANDA(Q):7500:16:ST8:AN;Umm\STST(N,0,N1)2:14:ST:NA(Q)10DA(Q)9ĺ" ";&nfNA(Q)" ";:16:ST:DA(Q)" ";:J02:14J:ST2:J1140ST1:" ";:J1,J:V14:HST2:CWA(Q):5500:15:ST1:" ";:NA(Q)9DA(Q)9ĺ7500:STST(N,0,N1)kl14:ST4:A1$(93)A0$;AN"=":16:ST4:A1$(93)A0$;AN"="lCL$:" N OW, WHAT WILL THE SIMPLIFIED NUMERATOR BE?":ANNNAN:7500:14:ST8:AN;l15:ST8:A1$(92)A0$;:AN9DA(Q)9ĺA1$(92)A0$;Om CL$:" W HAT WILL THE L PARTS ARE LEFT?":ANNA(Q):7500ckWWWA(Q):WA(Q)(NNDD):4700:WA(Q)WWiklCL$:" T HE ANSWER NOW NEEDS TO BE SIMPLIFIED. L OOK AT THE ANSWER. W HAT IS THE LARGESTNUMBER THAT GOES INTO BOTH THE NUMERATORAND THE DENOMINATOR?":ANDDDA(Q)-l,1)N(Q,1):N(Q,1)DD:W(Q,1)0:4300jCL$:" S INCE WE DON'T WANT THE ANSWER TO BE AN IMPROPER FRACTION, WE ARE GOING TO HAVE TO TAKE OUT ALL THE WHOLE NUMBERS. H OW MANY WHOLE NUMBERS ARE THERE?":AN(NNDD):75008kCL$:" N OW, HOW MANY FRACTIONAN NUMERATOR THE DENOMINATOR AND THE DENOMINATOR THE NUMERATOR.":5800i214:19:D(Q,1)" ";:16:19:D(Q,1)W(Q,1)N(Q,1)" ";i6CL$:" A FTER THIS IS DONE, ITS THE SAME AS A MULTIPLICATION PROBLEM.":15:13:" X ";:5800:j:DDD(Q,1):D(Q,1)DDW(QDA(Q)İ46004hNNDDİ4500>h4700hMO4DDN(Q,1):W(Q,1)(D(Q,1)DD):N(Q,1)D(Q,1)W(Q,1)DD:D(Q,1)DDhABMO4W(Q,0)N(Q,0):N(Q,0)0h]i0CL$:" T O DIVIDE, WE MUST FIRST INVERT THE SECOND FRACTION. T HIS IS DONE BY MAKINGTHE HAT IS THE NEW NUMERATOR?":AN(D(Q,0)W(Q,0)N(Q,0))(D(Q,1)W(Q,1)N(Q,1)):NNAN:7500g14:32:NN;:15:32:A1$(92);:DDD(Q,0)D(Q,1):DD9NN9ĺ(92);gA0$;gCL$:" W HAT IS THE ANSWER'S DENOMINATOR?":ANDD:7500h16:32:DD;#hDDANW(Q,WH):7500GfrV14:HST(N,0,WH):C0:5500wf|14:4:AN;:15:4:A1$(92);:AN9ĺ(92);fW(Q,WH)0:N(Q,WH)AN:D(Q,WH)1fA0$;:16:4:D(Q,WH);:ogCL$:" T O FIND THE ANSWER, WE MUST MULTIPLY THETWO NUMERATORS AND THE TWO DENOMINATORS. W'S TURN THE WHOLE NUMBER INTO A FRACTION. A LL YOU HAVE TO REMEMBER ISTHAT A WHOLE NUMBER IS THE SAME AS A WHOLE NUMBER DIVIDED BY ONE. W HAT, THEN, WOULD THE DENOMINATOR BE?":AN1:7500'fmCL$:" S O, NATURALLY, WHAT WOULD THE NUMERATOR BE?":COMES THE NEW NUMERATOR. D O THIS NOW.":5800dCL$:" W HAT WILL THE NEW NUMERATOR BE?":AND(Q,WH)W(Q,WH)N(Q,WH):7500dV14:HST(N,0,WH):C0:5500:14:ST(N,0,WH)2:AN" ";dAN9Ģ15:ST(N,0,WH)3:A1$(92)A0$;dehCL$:" F IRST, LETCL$:" T HE "WH$(WH)" FRACTION IS MIXED. I N":"ORDER TO "OP$(MO)" IT, WE WILL HAVE":"TO PUT IN IMPROPER FORM.":5800Fd CL$:" T O PUT A FRACTION IN IMPROPER FORM, MULTIPLY THE DENOMINATOR BY THE WHOLE NUMBER AND ADD THE NUMERATOR. T HIS BE- "MI$(MI(1))"FRACTION.":5800GbNN0:(AB)NN1|bMO4(((FL2FL1)D(Q,0)D(Q,1))(FL4))İ9300bFL1MO3İ9100bWH01:CL$bMIXED(WH)İ4100bAB0WH0İ4200bWH:MODE3İ4300bMODE4İ4400b5800cQ:FL0:8000c00AaWHN1:7015:AKNA(Q)1:0:6010:3Ta$5800:Q:8000waMODE3(FL4FL5)Č2048"AL2"aABWHOLE:Q03:34,0:CL$:34,17:AK(MODE4)a5530:CL$3b" PROBLEM #"Q1:" W E WILL BE "OP$(MODE)(8(MODE4))"ING A "MI$(MI(0))W$(AB);::"BY A AN10)2:ANM` CL$:NNAN:DDLCD(Q):DDDA(Q)İ4600^`NNDDİ4500g`CL$`MIXEDĺ" N OW WE CAN "OP$(MO)" ALL THE WHOLE NUMBERS.":" W HAT IS THE ANSWER?":ANWA(Q):7500`5800aWA(Q)0āJ1WA(Q):1:ST(N,0,N1)J1:A1$"^"A0$;:a47:WH0N:13:ST(N,0,WH)7:"_"(96);:WH:A0$_CL$:" N OW, WHEN WE "OP$(MODE)" THESE":"NUMERATORS, WHAT DO WE GET?":ANA(0):WH1N:ANANA(WH)(MODE1)A(WH)(MODE2):WH:7500_ LIĢ13:ST(N,0,0):WH039:" ";:#` 14:ST(N,0,N1)(LC(Q)9)" SQUARES DOWN.":90008~#5800~#CL$:" N OW, THE FIRST FRACTION IS "N$(N(Q,0)):NT$(D(Q,0));:N(Q,0)1ĺ"S";~#". S O, WE WILL SHADE THAT":"PORTION OF THE GRID.":9035 #5800:CL$:" T HE SECOND FRACTION IS "N$(N(Q,1))" "NT$(D(Q,1));:N(Q,1J2A1(J21)18:J1,22JA2J1,18(J1)A2:J1:2:J2,JV}Z#3\}d#}#CL$:NNN(Q,0)N(Q,1):DDD(Q,0)D(Q,1).~#" L OOK AT THE DENOMINATORS OF THE FRACTIONS. W E WILL MAKE A GRID THAT WILL BE "N$(D(Q,0))" SQUARES ACROSS":"AND "N$(D(Q,1)A1A1:J,20J,100:J1,20J1,100:f|F#J20A220D(Q,1)A2A2:20,J259,J:l|G#|K#1:J0N(Q,0)1:J20D(Q,1)1:J122A2J2A2(J21)18:22JA1,J118(J1)A1,J1:J1,J2,J:3|L# }P#2:J0N(Q,1)1:J20D(Q,0)1:J2N(Q,0)Ē3O}U#J122A1NE ELSE WANT TO GO?";:A$:A$"Y"Ĺ34,0:22{34,0:CL$:" P RESS RETURN WHEN YOU ARE READY":A$:6:{(#20,20259,20:20,100259,100{2#20,2020,100:19,2019,100:260,20260,100:261,20261,100|<#A1240D(Q,0):A280D(Q,1);|A#J20A120D(Q,0)E NUMBER OF TRIES: ";TRWz:"PREVIOUS SCORES: "E"% "F" TRIES"jzTT0:SC0:TQ0zD$"OPEN Z"CL",L50":D$"WRITEZ"CL",R"NO:NA$:PR:TR:E:F:D$"CLOSE"zEPR:FTR:C03{:" D O YOU WANT TO GO AGAIN?";:A$:A$"Y"Ĺ34,0:27B{:" D OES SOMEO9ĖST7LyNN;:19:ST6:A1$;(92);:DD9ĺ(92);eyA0$;:20:ST6:DD;ryA0$;:Iy22:1:" W HAT NUMBER? ":7500y34,0:CL$:34,2:Qy" PROGRESS REPORT FOR "NA$":"::::PR((SCTQ)1000)10.z"PERCENTAGE SCORE: "PR"%"::"AVERAGQ,0)5DDA(4)48xNNA(DD1)UxNNNA(Q)DDIDA(Q)8060xD(Q,I)DD:N(Q,I)NN:I1āJ1I1:D(Q,J)D(Q,I)N(Q,J)N(Q,I)ĂJ:8090xI18060x19:ST(2,0,I1):I") ";:V18:HST(2,0,I1)4:CWW:5500ySTST(2,0,I1):18:ST6:NN10DD TODAY. ":5800^wJCL$:34,17:CL$:C02:TR((TTTQ)10)10:SC0:TQ0wTQ04:1:1:" PROBLEM #"Q1:CL$wY0,130279,130w^FL1:5530whANA(4):I14wrANINNNA(Q):DDDA(Q):WWWA(Q):8075wwWWWA(Q)(x|DDA(15)1:LIKEDDD(Q,0):D(AA:AAANĢCV:" R IGHT!!!";:34,17:SCSC1:SO1İ50avWAAANİ10000:mvXTTTT1v[CC1:CC0ĺCL$;" W RONG. T HE ANSWER IS "AN;:10000:CL$:34,17:v`60ve&w@34,0:CL$::" N OW, WE WILL HAVE A SHORT QUIZ TO SEE HOW MUCH YOU LEARNED1ĺ"S";9ud"?":ANN(Q,WH):7500Lug25,ST(N,1,WH)Wul252,0uvA(360D(Q,WH))N(Q,WH):A((A)(3.1415926180))28:AA1(A(A).5):253,Au2614:KWH:0:AK(360D(Q,WH))(N(Q,WH)1):6010:3:vLCV(37)1:C1:34,CV1:TQTQ1:TTTT1MvVCV::J02:W(I,J)0:N(I,J)0:D(I,J)0:J,I:tXCL$;:" L OOK AT THE "WH$(WHNN)" CIRCLE. H OW":"MANY SLICES IS IT DIVIDED INTO?":AND(Q,WH):7500t]CL$ub" N OW, HOW MANY SLICES WILL WE HAVE TO":"SHADE TO GET "N$(N(Q,WH))" "NT$(D(Q,WH));:N(Q,WH)60$suAK360RszA360D(Q,K):KK(A)AKA:(KK)AK6050sBKK:BB(3.1415926180):BB28:B(B).5BB1s35ST(N,1,K),40X(B)ST(N,1,K),Y(B)10sSO1įB,3sW(Q,K)0āK11W(Q,K):1:ST(N,0,K)K1:A1$"^"A0$;:K1tKK t@t8I04C(K)B5640(r0.r:CWA(Q):V14:H30:5500:sp25,ST(N,1,K):26,10:25N(Q,K)0FL0İ6000ZqK:N(Q,K)NA(Q):D(Q,K)DA(Q):FL0İ6000`qpq SETCHOICEqK14:A(K)0:IMPMIXED(A(9)6MODE3)A(K)A(C3)qC(K)B:B(K)A(B1)qC(K)6C(K)A(DI1)1:B(K)A(C(K)1)rB(K)C(K)5640"r&A(K)CB(K)A)pN(Q,K)05590Op14:H2:N(Q,K)10D(Q,K)9ĖH3\pN(Q,K);p15:H2:A1$;(92);A0$;:D(Q,K)9ĺA1$;(92);A0$;p16:H2:D(Q,K);pKK0AK1Ģ15:H9:MODE$(MODE);pKK0AK1Ģ15:H9:A1$;(93);A0$;qKK0Ģ15:H9:"=";-qo20:K05:A1$;(92);A0$;:B(K)9C(K)9ĺA1$;(92);A0$;go21:K05:C(K);oo :o|"1";:K40:K2VV2:K3HH1:K3:K2:(C632K4);:K4K41:K3,K2:"0":oPRINT QUESTIONoAK0oK0NoK0NpCW(Q,K):V14:HST(N,0,K):5500CH YOU LEARNED TODAY. ":5800lWJCL$:34,17:CL$:C02:TR((TTTQ)10)10:SC0:TQ0WTQ04:1:1:" PROBLEM #"Q1:CL$WY0,130279,130W^FL1:5530WhANA(4):I14WrANINNNA(Q):DDDA(Q):WWWA(Q):8075XwWWWA(Q)6X|DDA(15)1:LIKE4,17:SCSC1:10000:8VXTTTT1V[CC1:CC0ĺCL$:" W RONG. T HE ANSWER IS "AN:10000:CL$:34,17:V`CV:" N OPE. T RY AGAIN.";:I15:240,2:255,2::10000:CL$:7510Ve4W@34,0:CL$::" N OW, WE WILL HAVE A SHORT QUIZ TO SEE HOW MU360D(Q,WH))N(Q,WH):A((A)(3.1415926180))28:AA1(A(A).5):253,AU2102:KWH:0:AK(360D(Q,WH))(N(Q,WH)1):6010:3:ULCV(37)1:C1:34,CV1:TQTQ1:TTTT1 VVCV:AA:AAANĢCV:" R IGHT!!!";:SO1āI80701:I,I69:I,VWAAANĹ3(WHNN)" CIRCLE. H OW":"MANY SLICES IS IT DIVIDED INTO?":AND(Q,WH):7500lT]CL$Tb" N OW, HOW MANY SLICES WILL WE HAVE TO":"SHADE TO GET "N$(N(Q,WH))" "NT$(D(Q,WH));:N(Q,WH)1ĺ"S";Td"?":ANN(Q,WH):7500Ug25,ST(N,1,WH)Ul252,0`UvA(KK:BB(3.1415926180):BB28:B(B).5BB1qS35ST(N,1,K),40X(B)ST(N,1,K),Y(B)10zSB,3SW(Q,K)0āK11W(Q,K):1:ST(N,0,K)K1:A1$"^"A0$;:K1SKKSS8I04:J02:W(I,J)0:N(I,J)0:D(I,J)0:J,I:cTXCL$;:" L OOK AT THE "WH$R:)R16368,0mR8:24:" HIT ANY KEY TO CONTINUE";:(16384)128A(9):5810wRA$:R MIXED0:LIKE0:WHOLE0:MIXED(0)0:MIXED(1)0:RoDRAW CIRRp25,ST(N,1,K):26,10:2048RuAK360SzA360D(Q,K):KK(A)AKA:(KK)AK6050ESB000GQK:N(Q,K)NA(Q):D(Q,K)DA(Q):FL0İ6000MQ]Q SETCHOICEQK14:A(K)0:IMPMIXED(A(9)6MODE3)A(K)A(C3)QC(K)B:B(K)A(B1)QC(K)6C(K)A(DI1)1:B(K)A(C(K)1)QB(K)C(K)5640R&A(K)CB(K)AC(K)B5640R014:H2:N(Q,K)10D(Q,K)9ĖH3IPN(Q,K)" ";P15:H2:A1$;(92);A0$;:D(Q,K)9ĺA1$;(92);A0$;P16:H2:D(Q,K);PKK0AK1Ģ15:H9:MODE$(MODE);PKK0AK1Ģ15:H9:A1$;(93);A0$;QKK0Ģ15:H9:"=";QN(Q,K)0FL0İ6(92);A0$;:B(K)9C(K)9ĺA1$;(92);A0$;UO21:K05:C(K);]O :O|K40:K2VV2:K3HH1:K3:K2:A1$;(C632K4);:K4K41:K3,K2:A0$:OPRINT QUESTIONOAK0OK0NOK0NPCW(Q,K):V14:HST(N,0,K):5500PN(Q,K)055909P1)Ģ12:27:CN1" SETS OF "N1;:C,2w<$CN1(CN1)MNCN1:(MN2(MN2))2(MN2(MN2))@$J1:BB1:BA1A1279B0:AA1E$J:3:7T$CL$:" L OOK AT THE ABOVE PROBLEM. B ASICALLY ALL THAT IT SAYS IS ' H OW MANY TIMES DOES";:N$(N(Q,1)0:C0:2:J0WW:J1BA110BA1A11(A110)DD:JWW(JWW(J1)(BA110NN((A110)DD)))āJ2J12J1(A110)DD2:J2,AA27J2,AA2A22:J2;;$JWW(JWW(J1)(BA110NN((A110)DD)))CC1:13:27:C(CN1)N1" PARTS OF "N1;:CN1(CN1:BA1A1279B0:AA16$Jj $MODE4(FL2FL1)WW0BB1:B1B1:AA1 $MODE4(FL2FL1)WW0Ē0:B1(BA110)((A110)DD)NN1:B1,AA25BA1A1,AA25BA1A1,AA2A2B1,AA2A2:BA1A11,AA25BA1A11,AA2A2:3 $6$A0:B1A1,AA2A2BA110,AA2A2BA110,AA25:BA111,AA25BA111,AA2A2:BA11A1,AA25BA11A1,AA2A2 $J1BA110BA1A1(A110)DD:JWW(JWWJ1BA110NN((A110)DD))(WW0)ēJ1,AA25J1,AA2A2:J11,AA25J11,AA2A2/$J1:BBNNNA(Q)İ4600m#CL$:" N OW, LET'S FIND ANOTHER WAY TO MULTIPLY FRACTIONS.":5800#34,0:35,13:CL$:34,13:35,17:33,11:32,29:CL$:33,40:32,0:34,17:35,24Ł##230,32:A1129.5:A240$A0:B0:J0WW:BA110,AA25BA1A1,AA25BA(92);:DA(Q)9ĺ(92);#A0$;CL$:" N OW, COUNT UP THE TOTAL NUMBER OF SQUARES. H OW MANY ARE THERE?":ANDD:7500#16:32:DD; #CL$:" T HIS MEANS THAT "NN" OUT OF THE "DD:"SQUARES ARE WHITE. S O, THAT IS THE ANSWER."ᚨ:)1ĺ"S";`#".":" L ET'S SHADE THAT PORTION OF THE GRID.":9040:5800#CL$:" L OOK AT THE WHITE PART. T HIS IS WHERE THE TWO FRACTIONS CROSSED. C OUNT THE WHITE AREA. H OW MANY SQUARES ARE WHITE?":ANNN:7500.#14:32:NN:15:32:A1$;TIMES.":N1D(Q,1)W(Q,1)N(Q,1):NNNA(Q)(D(Q,1)DA(Q)):9270:5800gr$CL$:" N EXT WE CAN LOOK AT THE BOXES AND FIND THE ANSWER.":5800gw$WA(Q)0ĺCL$:" H OW MANY COMPLETE BOXES ARE SHADED IN?":ANWA(Q):7500Lh|$V14:H30:CWA(Q):5500:DDD(Q,1): THE "MI$(MI(1))W$(0):N$(W(Q,0))" TIMES.":5800\fY$FL5WH1:4100f^$CL$:" F IRST, LET'S PUT SOME BOXES ON THE SCREEN AND DIVIDE THEM INTO "NT$(D(Q,1))"S.":WWWA(Q):NND(Q,1):DDNN:9200:5800Zgh$CL$:" N OW WE'LL ADD THE "W$(0):N$(W(Q,0))" TIME";:(CN1)10,4:(CN1)1ĺ"S";ze<$CN1(CN1)MNCN1:(MN2(MN2))2(MN2(MN2))e@$J1:BB1:BA1A1279B0:AA1eE$J:3:GfT$CL$:" L OOK AT THE ABOVE PROBLEM. W HEN YOU GETA PROBLEM THAT LOOKS LIKE THIS, ALL YOU DO IS ADD UPA2:3"d$*d$J1d6$A0:B0:C0:2:J0WW:J1BA110BA1A11(A110)DD:JWW(JWWJ1BA110NN((A110)DD))āJ2J12J1(A110)DD2:J2,AA27J2,AA2A22:J2>e;$JWW(JWWJ1BA110NN((A110)DD))CC1:CN1(CN1)Ģ12:27:(CN1)")DD))(WW0)ēJ1,AA25J1,AA2A2:J11,AA25J11,AA2A2yc$J1:BB1:BA1A1279B0:AA1c$Jd $MODE4(FL2FL1)WW0Ē0:B1(BA110)((A110)DD)NN1:B1,AA25BA1A1,AA25BA1A1,AA2A2B1,AA2A2:BA1A11,AA25BA1A11,AA2*b#A1129.5:A240b$A0:B0:J0WW:BA110,AA25BA1A1,AA25BA1A1,AA2A2BA110,AA2A2BA110,AA25:BA111,AA25BA111,AA2A2:BA11A1,AA25BA11A1,AA2A2Tc$J1BA110BA1A1(A110)DD:JWW(JWWJ1BA110NN((A110T OF "DD" OF THE":"SQUARES ARE SHADED. S O, THAT IS THE ANSWER."xa#5800:NNNA(Q)İ4600a#CL$:" N OW, LET'S FIND ANOTHER WAY TO MULTIPLY FRACTIONS.":5800b#34,0:35,13:CL$:34,13:35,17:33,11:32,29:CL$:33,40:32,0:34,17:35,24b#EA. H OW MANY SQUARES ARE WHITE?":ANNN:7500{`#14:32:NN:15:32:A1$;(92);:DA(Q)9ĺ(92);`#A0$;CL$:" N OW, COUNT UP THE TOTAL NUMBER OF SQUARES. H OW MANY ARE THERE?":ANDD:7500`#16:32:DD;]a#CL$:" T HIS MEANS THAT "NN" OU5m_#5800:CL$:" T HE SECOND FRACTION IS "N$(N(Q,1))" "NT$(D(Q,1));:N(Q,1)1ĺ"S";_#".":" L ET'S SHADE THAT PORTION OF THE GRID.":9040:5800F`#CL$:" L OOK AT THE WHITE PART. T HIS IS WHERE THE TWO FRACTIONS CROSSED. C OUNT THE WHITE ARILL MAKE A GRID THAT WILL BE "N$(D(Q,0))" SQUARES ACROSS":"AND "N$(D(Q,1))" SQUARES DOWN.":9000^#5800^#CL$:" N OW, THE FIRST FRACTION IS "N$(N(Q,0)):NT$(D(Q,0));:N(Q,0)1ĺ"S";_#". S O, WE WILL SHADE THAT":"PORTION OF THE GRID.":903J2,J:3$]L#V]P#2:J0N(Q,1)1:J20D(Q,0)1:J2N(Q,0)Ē3]U#J122A1J2A1(J21)18:J1,22JA2J1,18(J1)A2:J1:2:J2,J]Z#3]d#]#CL$:NNN(Q,0)N(Q,1):DDD(Q,0)D(Q,1){^#" L OOK AT THE DENOMINATORS OF THE FRACTIONS. W E W260,100:261,20261,100M\<#A1240D(Q,0):A280D(Q,1)\A#J20A120D(Q,0)A1A1:J,20J,100:J1,20J1,100:\F#J20A220D(Q,1)A2A2:20,J259,J:\G#]K#1:J0N(Q,0)1:J20D(Q,1)1:J122A2J2A2(J21)18:22JA1,J118(J1)A1,J1:J1,8:8190f[:" D OES SOMEONE ELSE WANT TO GO?";:A$:A$"Y"Ĺ34,0:FL9:8190[34,0:CL$:" INSERT A FORMATTED DISKETTE IN DRIVE 1 AND HIT RETURN":A$:6:[2048"ALTUTOR"[(#20,20259,20:20,100259,100.\2#20,2020,100:19,2019,100:260,20ORE: "PR"%"::"AVERAGE NUMBER OF TRIES: ";TRmZ:"PREVIOUS SCORES: "E"% "F" TRIES"ZTT0:TR0:SC0:C04ZD$"OPEN Z"CL",L50":D$"WRITEZ"CL",R"NO:NA$:PR:TR:E:F:D$"CLOSE"ZEPR:FTR[:" D O YOU WANT TO GO AGAIN?";:A$:A$"Y"Ĺ34,0:FL1):18:ST6:NN10DD9ĖST7bYNN;:19:ST6:A1$;(92);:DD9ĺ(92);{YA0$;:20:ST6:DD;YA0$;:IY22:1:" W HAT NUMBER? ":7500Y34,0:CL$:34,2:QZ" PROGRESS REPORT FOR "NA$":"::::PR((SCTQ)1000)10DZ"PERCENTAGE SCDDD(Q,0):D(Q,0)5DDA(4)4FXNNA(DD1)kXWWWA(Q)NNNA(Q)DDDA(Q)8060XD(Q,I)DD:N(Q,I)NN:I1āJ1I1:D(Q,J)D(Q,I)N(Q,J)N(Q,I)ĂJ:8090XI18060Y19:ST(2,0,I1):I") ";:V18:HST(2,0,I1)4:CWW:55005YSTST(2,0,I16:32:DD;:15:32:A1$(92)A0$;:DD9ĺA1$(92)A0$;h$WA(Q)0ĺCL$:" F INALLY, HOW MANY "NT$(DD)"S OF THE":"REMAINING BOX IS SHADED?":ANNN:7500i$WA(Q)0ĺCL$:" H OW MANY "NT$(DD)"S OF THE BOX IS":"SHADED IN?":ANNN:7500$i$14:32:NN;:DD0q$CL$:" T HERE'S THE ANSWER. N OW WE CAN DO THE PROBLEM ANOTHER WAY.":5800:9150'K11000::I$(MI(0))W$(AB);(CN1)" TIMES WITH "C(CN1)N1:"LEFT OVER. L ET'S REPRESENT THAT AS A":"FRACTION."x$5800|$DDN1:NNC(CN1)N1:14:32:NN;:16:32:DD;:15:32:A1$(92)A0$;:DD9ĺA1$(92);A0$;$5950$DDDA(Q)İ4600:5800$470LL NOW COUNT THE NUMBER OF SETS OF":N$(N1)" THERE ARE IN THE "MI$(MI(0))W$(WH)",":"AND ALSO KEEP TRACK OF EACH PART OF":N$(N1)" THAT IS USED.":9270:5800r$CL$:" T HIS MEANS THAT "N$(N(Q,1))" "NT$(D(Q,1));:N(Q,1)1ĺ"S";w$" GOES INTO":"THE "M:N(Q,1)1ĺ"S";PY$" GO INTO THE FIRST NUMBER?'":5800^$CL$:" N OW LET'S DRAW SOME BOXES TO REPRESENT THE "MI$(MI(0))W$(AB)"."_$D(Q,0)D(Q,1)c$DDD(Q,0):NNN(Q,0):WWW(Q,0):FL4WWWW1:NND(Q,0)f$9200:5800:N1N(Q,1)h$CL$:" W E WI" SETS OF "N1;:C,2g<$CN1(CN1)MNCN1:(MN2(MN2))2(MN2(MN2))@$J1:BB1:BA1A1279B0:AA1E$J:3:'T$CL$:" L OOK AT THE ABOVE PROBLEM. B ASICALLY ALL THAT IT SAYS IS ' H OW MANY TIMES DOES";:N$(N(Q,1))" "NT$(D(Q,1));:J1BA110BA1A11(A110)DD:JWW(JWW(J1)(BA110NN((A110)DD)))āJ2J12J1(A110)DD2:J2,AA27J2,AA2A22:J2+;$JWW(JWW(J1)(BA110NN((A110)DD)))CC1:13:27:C(CN1)N1" PARTS OF "N1;:CN1(CN1)Ģ12:27:CN10:AA1&$JZ $MODE4(FL2FL1)WW0BB1:B1B1:AA1 $MODE4(FL2FL1)WW0Ē0:B1(BA110)((A110)DD)NN1:B1,AA25BA1A1,AA25BA1A1,AA2A2B1,AA2A2:BA1A11,AA25BA1A11,AA2A2:3$6$A0:B0:C0:2:J0WW110,AA2A2BA110,AA25:BA111,AA25BA111,AA2A2:BA11A1,AA25BA11A1,AA2A2$J1BA110BA1A1(A110)DD:JWW(JWWJ1BA110NN((A110)DD))(WW0)ēJ1,AA25J1,AA2A2:J11,AA25J11,AA2A2$J1:BB1:BA1A1279B]#CL$:" N OW, LET'S FIND ANOTHER WAY TO MULTIPLY FRACTIONS.":5800#34,0:35,13:CL$:34,13:35,17:33,11:32,29:CL$:33,40:32,0:34,17:35,24#Ё#230,32:A1129.5:A240v$A0:B0:J0WW:BA110,AA25BA1A1,AA25BA1A1,AA2A2BA(92);#A0$;CL$:" N OW, COUNT UP THE TOTAL NUMBER OF SQUARES. H OW MANY ARE THERE?":ANDD:7500#16:32:DD;#CL$:" T HIS MEANS THAT "NN" OUT OF THE "DD:"SQUARES ARE WHITE. S O, THAT IS THE ANSWER."#5800:NNNA(Q)İ4600.":" L ET'S SHADE THAT PORTION OF THE GRID.":9040:5800#CL$:" L OOK AT THE WHITE PART. T HIS IS WHERE THE TWO FRACTIONS CROSSED. C OUNT THE WHITE AREA. H OW MANY SQUARES ARE WHITE?":ANNN:7500#14:32:NN:15:32:A1$;(92);:DA(Q)9":9000(~#5800z~#CL$:" N OW, THE FIRST FRACTION IS "N$(N(Q,0)):NT$(D(Q,0));:N(Q,0)1ĺ"S";~#". S O, WE WILL SHADE THAT":"PORTION OF THE GRID.":9035#5800:CL$:" T HE SECOND FRACTION IS "N$(N(Q,1))" "NT$(D(Q,1));:N(Q,1)1ĺ"S";P#":J1,22JA2J1,18(J1)A2:J1:2:J2,JF}Z#3L}d#w}#CL$:NNN(Q,0)N(Q,1):DDD(Q,0)D(Q,1)~#" L OOK AT THE DENOMINATORS OF THE FRACTIONS. W E WILL MAKE A GRID THAT WILL BE "N$(D(Q,0))" SQUARES ACROSS":"AND "N$(D(Q,1))" SQUARES DOWN.00:J1,20J1,100:V|F#J20A220D(Q,1)A2A2:20,J259,J:\|G#|K#1:J0N(Q,0)1:J20D(Q,1)1:J122A2J2A2(J21)18:22JA1,J118(J1)A1,J1:J1,J2,J:3|L#|P#2:J0N(Q,1)1:J20D(Q,0)1:J2N(Q,0)Ē3?}U#J122A1J2A1(J21)18GO?";:A$:A$"Y"Ĺ34,0:22o{34,0:CL$:" P RESS RETURN WHEN YOU ARE READY":A$:6:{(#20,20259,20:20,100259,100{2#20,2020,100:19,2019,100:260,20260,100:261,20261,100{<#A1240D(Q,0):A280D(Q,1)+|A#J20A120D(Q,0)A1A1:J,20J,1 TRIES: ";TRLz:"PREVIOUS SCORES: "E"% "F" TRIES"_zTT0:SC0:TQ0zD$"OPEN Z"CL",L50":D$"WRITEZ"CL",R"NO:NA$:PR:TR:E:F:D$"CLOSE"zEPR:FTRz:" D O YOU WANT TO GO AGAIN?";:A$:A$"Y"Ĺ34,0:272{:" D OES SOMEONE ELSE WANT TO NN;:19:ST6:A1$;(92);:DD9ĺ(92);ZyA0$;:20:ST6:DD;gyA0$;:Iy22:1:" W HAT NUMBER? ":7500y34,0:CL$:34,2:Qy" PROGRESS REPORT FOR "NA$":"::::PR((SCTQ)1000)10#z"PERCENTAGE SCORE: "PR"%"::"AVERAGE NUMBER OFA(4)4-xNNA(DD1)JxNNNA(Q)DDIDA(Q)8060xD(Q,I)DD:N(Q,I)NN:I1āJ1I1:D(Q,J)D(Q,I)N(Q,J)N(Q,I)ĂJ:8090xI18060x19:ST(2,0,I1):I") ";:V18:HST(2,0,I1)4:CWW:5500ySTST(2,0,I1):18:ST6:NN10DD9ĖST7Ay58001wJCL$:34,17:CL$SwOTR((TTTQ)10)10:SC0:TQ0zwTQ03:1:1:" PROBLEM #"Q1:CL$wY0,130279,130w^FL1:5530whANA(4):I14wrANINNNA(Q):DDDA(Q):WWWA(Q):8075wwWWWA(Q)x|DDA(15)1:LIKEDDD(Q,0):D(Q,0)5DDTTT1XvVCV:AA:AAANĢCV:" R IGHT!!!";:50:34,17:SCSC1:dvXTTTT1v[CC1:C3ĺCL$;" W RONG. T HE ANSWER IS "AN;:10000:CL$:34,17:v`60vew@34,0:CL$::" N OW, WE WILL HAVE A SHORT QUIZ TO SEE HOW MUCH YOU LEARNED TODAY. ":,WH));:N(Q,WH)1ĺ"S";Hud"?":ANN(Q,WH):7500[ug25,ST(N,1,WH)ful252,0uvA(360D(Q,WH))N(Q,WH):A((A)(3.1415926180))28:AA1(A(A).5):253,Au2614:KWH:0:AK(360D(Q,WH))(N(Q,WH)1):6010:3:vLCV(37)1:C1:34,CV1:TQTQ1:TtOt8I04:J02:W(I,J)0:N(I,J)0:D(I,J)0:J,I:tXCL$;:" L OOK AT THE "WH$(WHNN)" CIRCLE. H OW":"MANY SLICES IS IT DIVIDED INTO?":AND(Q,WH):7500t]CL$.ub" N OW, HOW MANY SLICES WILL WE HAVE TO":"SHADE TO GET "N$(N(Q,WH))" "NT$(D(Q,ST(N,1,K):26,10:25609suAK360gszA360D(Q,K):KK(A)AKA:(KK)AK6050sBKK:BB(3.1415926180):BB28:B(B).5BB1s35ST(N,1,K),40X(B)ST(N,1,K),Y(B)10sB,3 tW(Q,K)0āK11W(Q,K):1:ST(N,0,K)K1:A1$"^"A0$;:K1tKK07r&A(K)CB(K)AC(K)B5640=r0Cr:Qr16368,0r8:24:" HIT ANY KEY TO CONTINUE";:(16384)128A(9):5810rA$:r MIXED0:LIKE0:WHOLE0:MIXED(0)0:MIXED(1)0:r4I140:16368,0:A(9):s>CWA(Q):V14:H30:5500:.sp25K0Ģ15:H9:"=";BqN(Q,K)0FL0İ6000oqK:N(Q,K)NA(Q):D(Q,K)DA(Q):FL0İ6000uqq SETCHOICEqK14:A(K)0:IMPMIXED(A(9)6MODE3)A(K)A(C3)qC(K)B:B(K)A(B1)rC(K)6C(K)A(DI1)1:B(K)A(C(K)1)rB(K)C(K)56414:HST(N,0,K):5500>pN(Q,K)05590dp14:H2:N(Q,K)10D(Q,K)9ĖH3qpN(Q,K);p15:H2:A1$;(92);A0$;:D(Q,K)9ĺA1$;(92);A0$;p16:H2:D(Q,K);pKK0AK1Ģ15:H9:MODE$(MODE);qKK0AK1Ģ15:H9:A1$;(93);A0$;(qKo19:K05:B(K);go20:K05:A1$;(92);A0$;:B(K)9C(K)9ĺA1$;(92);A0$;|o21:K05:C(K);o :o|"1";:K40:K2VV2:K3HH1:K3:K2:(C632K4);:K4K41:K3,K2:"0":oPRINT QUESTIONoAK0oK0NpK0N+pCW(Q,K):V;:NA(Q)9DA(Q)9ĺ(8)A1$(92)A0$;AnkOnSIMPLIFYWnK2pnK1B:K0K:K01K02}nKK0K1n(AK)AK(BK)BKAAK:BBK:5020nK:nPRINT CHOICEnK14:K0(K1)78n20:K0:CH$(K)")";oV19:H(36)1:CA(K):5500*L$:" W HAT WILL THE SIMPLIFED DENOMINATOR BE?":ANDA(Q):7500:16:ST8:AN;jmm\STST(N,0,N1)2:14:ST:NA(Q)10DA(Q)9ĺ" ";;nfNA(Q)" ";:16:ST:DA(Q)" ";:J02:14J:ST2:J1140ST1:" ";:J1,J:V14:HST2:CWA(Q):5500:15:ST1:" "ATOR?":ANDDDA(Q)Bl7500:STST(N,0,N1)l14:ST4:A1$(93)A0$;AN"=":16:ST4:A1$(93)A0$;AN"="lCL$:" N OW, WHAT WILL THE SIMPLIFIED NUMERATOR BE?":ANNNAN:7500:14:ST8:AN;m15:ST8:A1$(92)A0$;:AN9DA(Q)9ĺA1$(92)A0$;dm CW, HOW MANY FRACTIONAL PARTS ARE LEFT?":ANNA(Q):7500xkWWWA(Q):WA(Q)(NNDD):4700:WA(Q)WW~k)lCL$:" T HE ANSWER NOW NEEDS TO BE SIMPLIFIED. L OOK AT THE ANSWER. W HAT IS THE LARGESTNUMBER THAT GOES INTO BOTH THE NUMERATORAND THE DENOMIND(Q,1):D(Q,1)DDW(Q,1)N(Q,1):N(Q,1)DD:W(Q,1)0:4300kCL$:" S INCE WE DON'T WANT THE ANSWER TO BE AN IMPROPER FRACTION, WE ARE GOING TO HAVE TO TAKE OUT ALL THE WHOLE NUMBERS. H OW MANY WHOLE NUMBERS ARE THERE?":AN(NNDD):7500MkCL$:" N O IS DONE BY MAKINGTHEN NUMERATOR THE DENOMINATOR AND THE DENOMINATOR THE NUMERATOR.":5800i214:19:D(Q,1)" ";:16:19:D(Q,1)W(Q,1)N(Q,1)" ";j6CL$:" A FTER THIS IS DONE, ITS THE SAME AS A MULTIPLICATION PROBLEM.":15:13:" X ";:5800Oj:DD16:32:DD;8hDDDA(Q)İ4600IhNNDDİ4500Sh4700hMO4DDN(Q,1):W(Q,1)(D(Q,1)DD):N(Q,1)D(Q,1)W(Q,1)DD:D(Q,1)DDhABMO4W(Q,0)N(Q,0):N(Q,0)0hri0CL$:" T O DIVIDE, WE MUST FIRST INVERT THE SECOND FRACTION. T HISE TWO DENOMINATORS. W HAT IS THE NEW NUMERATOR?":AN(D(Q,0)W(Q,0)N(Q,0))(D(Q,1)W(Q,1)N(Q,1)):NNAN:7500g14:32:NN;:15:32:A1$(92);:DDD(Q,0)D(Q,1):DD9NN9ĺ(92);gA0$;hCL$:" W HAT IS THE ANSWER'S DENOMINATOR?":ANDD:7500#hD THE NUMERATOR BE?":ANW(Q,WH):7500\frV14:HST(N,0,WH):C0:5500f|14:4:AN;:15:4:A1$(92);:AN9ĺ(92);fW(Q,WH)0:N(Q,WH)AN:D(Q,WH)1fA0$;:16:4:D(Q,WH);:gCL$:" T O FIND THE ANSWER, WE MUST MULTIPLY THETWO NUMERATORS AND THhCL$:" F IRST, LET'S TURN THE WHOLE NUMBER INTO A FRACTION. A LL YOU HAVE TO REMEMBER ISTHAT A WHOLE NUMBER IS THE SAME AS A WHOLE NUMBER DIVIDED BY ONE. W HAT, THEN, WOULD THE DENOMINATOR BE?":AN1:7500J0NJHMIXEDJ0W(I,J)A(3)1KMMIXEDJ0W(I,J)A(W(I,J1:CL$mI4:1:" D O YOU WANT LIKE OR UNLIKE FRACTIONS? ";:A$:A$"L"A$"U"2005ILIKE(A$"L"):CL$IMODE1ĺCL$:" W OULD YOU LIKE TO ADD THREE FRACTIONS?";:A$:A$"Y"A$"N"2008JN1(A$"Y"):N2MIXED0:2100FJCL$:" D O YOU WAI03BHD(I,0)A(15)1:NUM(D(I,0))1520oHN(I,0)A(D(I,00)1):NUM(N(I,0))11530HWA(I)0:AN(I,0):BD(I,0):5000HN(I,0)(A)1520HNA(I)A:DA(I)B:H3000:SIMP CODEICL$:15((OP$(MO))2):" "OP$(MO)" FRACTIONS"I5900:34,2(A$)1:FL0HGMODE11500,2000,2000,2500,2500]G2(TQ2)TQ252zG3I80701:I,I69:I:G4240,50:240,50:210,50:192,50:181,50:192,50:213,50:H<CV:" N OPE. T RY AGAIN.";:I15:255,20:240,2:I:10000:CL$;L:7510H6200:N0:THE PROPER CLASS.":5800:21sFD$"CLOSE":3584,(NA$):J1(NA$):3584J,((NA$,J,1)):FSC0:TT0:TQ0:34,0:CL$:" H ERE ARE YOUR CHOICES: "::J04::J1") "OP$(J)" FRACTIONS": G24:1:" W HAT NUMBER? ";:A$:(A$)1(A$)528#GMODE T HAT CLASS IS EMPTY. A SK YOUR TEACHER FOR THE PROPER CLASS":5800:223F:" W HAT IS YOUR NAME? ";A$:D$"OPENZ"CL",L50":NO2NM(CL)1:D$"READZ"CL",R"NO:NA$,E,F,G,H:NA$A$Ă:D$"CLOSE":" Y OU ARE NOT IN THIS CLASS. A SK YOUR TEACHER FOR UTORIAL"::11:" B Y P AUL P ARKHURST"D8::I16:D$"OPENZ"I",L50":D$"READZ"I",R1":NM(I),Z$(I):D$"CLOSE":DCL$:" H ERE ARE THE CLASSES: ":I16:I") "Z$(I)::D" W HICH NUMBER? ";:A$:(A$)1(A$)623bECL(A$):NM(CL)0ĺ:"1,11,21,31,0,63,133,203 qCK$(11):L$(12):CL$(16):A0$(1)"0":A1$(1)"1":D$(4)CD$"BLOADC":I0177:Y(I)(3072I)::FL921CFL826CD$"BRUNS":D$"BLOADH":6145:CL$:I0177:X(I)(2816I):ADCL$:15:" F RACTION"::15:" T(9)X)1B MI$(1)"MIXED ":W$(1)"WHOLE NUMBER ":W$(0)"FRACTION ":I04:OP$(I)::SIMPLIFY,ADD,SUBTRACT,MULTIPLY,DIVIDEBI02:WHICH$(I)::FIRST,SECOND,THIRD/CI02:J01:K03:ST(I,J,K):K,J,I: 6,26,0,0,35,175,0,0,4,17,30,0,5,98,191,0,OUR,FOURTH," "," ",SIX,SIXTH," "," ",EIGHT,EIGHTH,NINE,NINTH," "," "," "," ",TWELVE,TWELVTH," "," "," "," "," "," ",SIXTEEN,SIXTEENTH B NUM(5)1:NUM(7)1:NUM(10)1:NUM(11)1:NUM(13)1:NUM(14)1:NUM(15)1:I14:MO$(I):: "+","-"," X ","1]0":A(X)(mI-@(4)"MAXFILES1"u@:FL0Č6145:NN(3584):NA$"":J1NN:NA$NA$((3584J))::11@N$(16),NT$(16),ST(4,2,4),X(177),Y(177),NUM(16),NA(4),DA(4),WA(4),N(4,4),D(4,4),W(4,4):230,32:3A I116:N$(I),NT$(I)::ONE," ",TWO,HALF,THREE,THIRD,F                                         00:5800)$4700$CL$:" T HERE'S THE ANSWER. N OW WE CAN DO THE PROBLEM ANOTHER WAY.":5800:9150'K11000::C::11000::Lxp`@~~<<888|x8888<x|<8~~<88|x88888<~~??888<@@``ppppppppppp|~?<88888xpx888~|88888>>````t@`pxx`````````````````~~??p|<888@`p8<x<~~??~~@@?``p<888|x8888<@`p88~~??~~??   z #??????     ڲڳڴڵڶŠԠKϠҠK̲+Ƞ àӠڱ Ġ٠͍נǠԍϠŠĮààЍԍ`àЍԍ  `  ` ` :  hL L %    hhLP %Ѕ %&Ԅ8G ҍ Ӎ G %`  } ߥ҅ީ%    LP Ԧ}G %ҍ ` ǠҠà @ % % 0 RH7   hЮ$0lp 0&7  }    LP ֠ _ $Ȅф (0PLS % % LB hL L ۄi ڍ  ȱڍ  ` -` ,Leqeq`i# Lk % )ʽ% ʽ% Ȅф   LP P% 0G ALTUTOR" FȱAȱ<ȱȱŰ+H8oȑoȥpphei ӥe枥`̄iq Ӣimo ӥ膢 \ۈȱ " \16 7 L  e8ij k k o>J0NKHMIXEDJ0W(I,J)A:" "OP$(MO)" FRACTIONS":5900:34,2:CL$:4:1:" D O YOU WANT LIKE OR UNLIKE FRACTIONS? ";:A$:A$"U"A$"L"Ĺ34,0:2000ILIKE(A$"L"):CL$JMODE1ĺCL$:" W OULD YOU LIKE TO ADD THREE FRACTIONS?";:A$:A$"Y"A$"N"2008'JN1(A$"Y"):N5:255,20:240,2:IBH=10000:CL$;:7510WH6200:N0:I04}HD(I,0)A(15)1:NUM(D(I,0))1520HN(I,0)A(D(I,00)1):NUM(N(I,0))11530HWA(I)0:AN(I,0):BD(I,0):5000:N(I,0)(A)1520HNA(I)A:DA(I)B::3000ICL$:15((OP$(MO))2)W HAT NUMBER? ";:A$:(A$)1(A$)528UGMODE(A$)1:FL0zGMODE11500,2000,2000,2500,2500G2(TQ2)TQ252G3I80701:I,I69:I:G4240,50:240,50:210,50:192,50:181,50:192,50:213,50:+H<CV:" N OPE. T RY AGAIN.";:SO1āI1ARE NOT IN THIS CLASS. A SK YOUR TEACHER FOR THE PROPER CLASS.":5800:21FD$"CLOSE":3584,(NA$):J1(NA$):3584J,((NA$,J,1)):GSC0:TT0:TQ0:34,0:CL$:" H ERE ARE YOUR CHOICES: "::J04::J1") "OP$(J)" FRACTIONS":?G24:1:" A$:(A$)1(A$)623ECL(A$):NM(CL)0ĺ:" T HAT CLASS IS EMPTY. A SK YOUR TEACHER FOR THE PROPER CLASS":5800:22eF:" W HAT IS YOUR NAME? ";A$:D$"OPENZ"CL",L50":NO2NM(CL)1:D$"READZ"CL",R"NO:NA$,E,F,G,H:NA$A$Ă:D$"CLOSE":" Y OU " T UTORIAL"::11:" B Y P AUL P ARKHURST":10:" D O YOU WANT SOUND? ";:A$:A$"Y"SO1D8::I16:D$"OPENZ"I",L50":D$"READZ"I",R1":NM(I),Z$(I):D$"CLOSE":DCL$:" H ERE ARE THE CLASSES: ":I16:I") "Z$(I)::-E" W HICH NUMBER? ";:1,0,1,11,21,32,0,63,133,203tCK$(11):L$(12):CL$(16):A0$(1)"0":A1$(1)"1":D$(4)CD$"BLOADC":I0177:Y(I)(3072I)::FL921CFL826CD$"BRUNS":D$"BLOADH":6145:CL$:I0177:X(I)(2816I):sDCL$:15:" F RACTION"::15:X)((9)X)1B MI$(1)"MIXED ":W$(1)"WHOLE NUMBER ":W$(0)"FRACTION ":I04:OP$(I)::SIMPLIFY,ADD,SUBTRACT,MULTIPLY,DIVIDEBI02:WHICH$(I)::FIRST,SECOND,THIRD2CI02:J01:K03:ST(I,J,K):K,J,I:6,26,0,0,35,175,0,0,4,17,30,0,5,98,19IRD,FOUR,FOURTH," "," ",SIX,SIXTH," "," ",EIGHT,EIGHTH,NINE,NINTH," "," "," "," ",TWELVE,TWELVTH," "," "," "," "," "," ",SIXTEEN,SIXTEENTH%B NUM(5)1:NUM(7)1:NUM(10)1:NUM(11)1:NUM(13)1:NUM(14)1:NUM(15)1:I14:MO$(I):: "+","-"," X ","1]0":A(~I2@(4)"MAXFILES1":C03z@:FL0Č6145:NN(3584):NA$"":J1NN:NA$NA$((3584J))::11@N$(16),NT$(16),ST(4,2,4),X(177),Y(177),NUM(16),NA(4),DA(4),WA(4),N(4,4),D(4,4),W(4,4):230,32:3A I116:N$(I),NT$(I)::ONE," ",TWO,HALF,THREE,TH                         !"0:(NSIMPLIFY0NK2INK1B:K0K:K01K02VNKK0K1N(AK)AK(BK)BKAAK:BBK:5020NK:NPRINT CHOICENK14:K0(K1)78N20:K0:CH$(K)")";NV19:H(36)1:CA(K):5500O19:K05:B(K);@O20:K05:A1$;(92)A0$;tM CL$:" W HAT WILL THE SIMPLIFED DENOMINATOR BE?":ANDA(Q):7500:16:ST8:AN;zMM\STST(N,0,N1)2:14:ST:NA(Q)10DA(Q)9ĖST1NfNA(Q)" ";:16:ST:DA(Q)" ";:J02:14J:ST2:J1140ST1:" ";:J1,J:V14:HST2:CWA(Q):550 INTO BOTH THE NUMERATORAND THE DENOMINATOR?":ANDDDA(Q)iL7500:STST(N,0,N1)L14:ST4:A1$(93)A0$;AN"=":16:ST4:A1$(93)A0$;AN"="LCL$:" N OW, WHAT WILL THE SIMPLIFIED NUMERATOR BE?":ANNNAN:7500:14:ST8:AN; M15:ST8:A1$(92)RS. H OW MANY WHOLE NUMBERS ARE THERE?":ANWA(Q):7500KCL$:" N OW, HOW MANY FRACTIONAL PARTS ARE LEFT?":ANNA(Q):7500K4700KPLCL$:" T HE ANSWER NOW NEEDS TO BE SIMPLIFIED. L OOK AT THE ANSWER. W HAT IS THE LARGESTNUMBER THAT GOESSAME AS A MULTIPLICATION PROBLEM.":15:13:" X ";:5800J:DDD(Q,1):D(Q,1)DDW(Q,1)N(Q,1):N(Q,1)DD:W(Q,1)0:4300JN4320OKCL$:" S INCE WE DON'T WANT THE ANSWER TO BE AN IMPROPER FRACTION, WE ARE GOING TO HAVE TO TAKE OUT ALL THE WHOLE NUMBEO DIVIDE, WE MUST FIRST INVERT THE SECOND FRACTION. T HIS IS DONE BY MAKINGTHENUMERATOR THE DENOMINATOR AND THE DENOMINATOR THE NUMERATOR.":5800I214:19:D(Q,1)" ";:16:19:D(Q,1)W(Q,1)N(Q,1)" ";QJ6CL$:" A FTER THIS IS DONE, ITS THE :7500`H14:32:NN;:15:32:A1$(92);:DDD(Q,0)D(Q,1):DD9ĺ(92);jHA0$;HCL$:" W HAT IS THE ANSWER'S DENOMINATOR?":ANDD:7500H16:32:DD;HDDDA(Q)İ4600HNNDDİ4500H4700IW(Q,0)N(Q,0):N(Q,0)0II0CL$:" T A1$(92);:AN9ĺ(92);HGW(Q,WH)0:N(Q,WH)ANeGA0$;:16:4:D(Q,WH);:HCL$:" T O FIND THE ANSWER, WE MUST MULTIPLY THETWO NUMERATORS AND THE TWO DENOMINATORS. W HAT IS THE NEW NUMERATOR?":AN(D(Q,0)W(Q,0)N(Q,0))(D(Q,1)W(Q,1)N(Q,1)):NNANTHAT A WHOLE NUMBER IS THE SAME AS A WHOLE NUMBER DIVIDED BY ONE. W HAT, THEN, WOULD THE DENOMINATOR BE?":AN1:7500FmCL$:" S O, NATURALLY, WHAT WOULD THE NUMERATOR BE?":ANW(Q,WH):7500FrV14:HST(N,0,WH):C0:5500/G|14:4:AN;:15:4: D O THIS NOW.":5800{ECL$:" W HAT WILL THE NEW NUMERATOR BE?":AND(Q,WH)W(Q,WH)N(Q,WH):7500EV14:HST(N,0,WH):C0:5500:14:ST(N,0,WH)2:AN" ";:FhCL$:" F IRST, LET'S TURN THE WHOLE NUMBER INTO A FRACTION. A LL YOU HAVE TO REMEMBER ISTION IS MIXED. I N":"ORDER TO "OP$(MO)" IT, WE WILL HAVE":"TO PUT IN IMPROPER FORM.":5800,E CL$:" T O PUT A FRACTION IN IMPROPER FORM, MULTIPLY THE DENOMINATOR BY THE WHOLE NUMBER AND ADD THE NUMERATOR. T HIS BE- COMES THE NEW NUMERATOR. 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