Eyona impahla zamaqhezu. Regulations. Eyona impahla amaqhezu algebra

Ethetha izibalo, omnye asingekhe silibale amaqhekeza. ukufunda kwabo imali eninzi ingqalelo kunye nexesha. Khumbula ukuba zingaphi imizekelo ukhe isigqibo ukufunda imithetho ethile xa besebenza ngamaqhezu, kufuneka ukhumbule nokusebenzisa esisiseko impahla amaqhezu. zachithwa Zingaphi luvo ukufumana zifana, ingakumbi xa bekukho imizekelo ngaphezulu amagama amabini!

Masikhumbule ukuba oko, yaye ibhrashi phezulu encinane izakhelo kwaye imithetho besebenza ngamaqhezu.

Ukumiselwa amaqhezu

Masiqalise kunye ibalulekileyo - ukuzimisela. Iqhezu - inani entlantlu singamalungu omnye okanye ngaphezulu kule yunithi. Iqhekeza kwabhalwa amanani amabini ezahlulwe sisithuba isleshi efanayo tye. Ephezulu (okanye kuqala) na inani elingezantsi kunye elisezantsi (okwesibini) - kwinani elingezantsi.

Kubalulekile ukuphawula ukuba elingezantsi ibonisa ukuba bangaphi na iindawo unit yahlukana, yaye kwinani - inani lezabelo athathwa okanye iinxalenye. Amaxesha amaninzi, amaqhezu, ukuba zichanekile, ngaphantsi omnye.

Ngoku makhe sijonge iimpawu zezi amanani kunye nemigaqo esisiseko asetyenziswa xa usebenza nabo. Kodwa ngaphambi kokuba sihlolisise into efana "ipropati esisiseko zamaqhezu olwamkelweyo", uya kuthetha iintlobo amaqhekeza kunye neempawu zazo.

Yintoni amaqhezu

iintlobo ezininzi nombolo ezichongiweyo. Eyokuqala kuqhelekile kunye lokugqibela. Eyokuqala sele uthe uhlobo qhagamshelana ukurekhodwa inani olwamkelweyo usebenzisa oxwesileyo okanye isleshi. Amaqhezu Uhlobo lwesibini zibonakaliswe yi urekhodisho ngokokuma kuthiwa xa siboniso kuqala inxenye ke, emva kwekoma ibonisa inxalenye iqhezu.

Kukwabalulekile ukuqaphela ukuba izibalo enye kusetyenziselwa idesimali namaqhezu aqhelekileyo. Ipropati ephambili zamaqhezu ngelo xesha sisebenza kuphela ukuba yesibini ukhetho. Ukongeza, amaqhezu aqhelekileyo ayinabantu amanani okulungileyo nokubi. Kwinani lokuqala kusoloko ngaphantsi kwe elingezantsi. Qaphela kwakhona ukuba le nxalenye lingaphantsi kwe mnye. Amaqhezu ngokungafanelekanga ngokunxamnye - inani phezu nakwinani elingaphezulu, kwaye yena ngaphezu kwesinye. Ngaloo ndlela umntu ukhethe inani elipheleleyo. Kweli nqaku, siza kuqwalasela amaqhezu kuphela zesiqhelo.

iimpawu amaqhezu

Nawuphi phenomenon, amachiza, ngokwasemzimbeni okanye zemathematika, uneempawu zawo kunye neepropati. Akukho ngaphandle, kunye neenombolo iqhezu. Baye osemqoka enye ezibalulekileyo apho imisebenzi ethile inokwenziwa kuwo. Yintoni na impahla ephambili zamaqhezu? Umthetho ithi ukuba xa inani elingezantsi kunye nenani iyanda okanye lahlulwe ngenani elifanayo obengo, siza kufumana shot entsha, xabiso lazo elo lilingana yokuqala. Oko kukuthi, phinda inani ezimbini iqhezu 3/6 ukuya-2, siye sifumane inxalenye entsha 6/12, yaye bayalingana.

Ngokusekelwe kule propati, kunokwenzeka ukuba kunciphisa iqhezu, kwakunye ku manani aphantsi ukukhetha izihlangu ethile lwamanani.

imisebenzi

Ngaphandle kwento yokuba iqhezu kubonakala kuthi nzima ngakumbi xa kuthelekiswa amanani elula, nabo unako ukwenza imisebenzi ezisisiseko zemathematika ezifana zokudibanisa nokuthabatha, phinda nokwahlula-hlula. Ukongeza, kukho inyathelo elingqalileyo, ezifana nokunciphisa amaqhezu. Ngokuqhelekileyo, ngalinye kula manyathelo kwenziwa ngokungqinelana nemithetho ethile. Ulwazi le mithetho yenza kube lula ukusebenza ngamaqhezu, kwenza kube lula umdla ngakumbi. Kungenxa yoko le nto siqhubeka siqwalasele nawe imithetho esisiseko kunye algorithm yezenzo xa kusingethwe kwamanani ezo zikolo zinjalo.

Kodwa ngaphambi kokuba ukuthetha imisebenzi enjalo yezibalo ezifana zokudibanisa nokuthabatha, sichaza utyando ezifana ukuba kuziswe zifana. Apha senza nje, kunye nolwazi luncedo, ipropati esisiseko zamaqhezu ezikhoyo.

zifana

Ukuze ukuba inani ukuya zifana, kuqala kufuneka ufumane kuchazo ubuncinane oqhelekileyo idominetha ezimbini. Elo nani lincinci liyohluleka ngo zombini inyumareyitha ezimbini ngaphandle, azafunyanelwa ndawo. Indlela elula ukukhetha LCM (multiple ubuncinane eqhelekileyo) - ezibhaliweyo kule kumgca iziphindwa ukuba idinomineyitha olunye, ngoko ke wesibini kwaye bafumana kubo inombolo komdlalo. Kwimeko apho i-NOC alifumaneki, oko kukuthi, la manani musa i amaninzi ngokufanayo inani kufuneka ndibandise, kunye nexabiso ngenxa uthathwa ukuba NOC.

Ngoko safumana ngoku NOCs kufuneka ukufumana inkalo olongezelelweyo. Ukuze benze oku, yena elahluleleneyo idominetha NOC ubhale ngamnye kubo inani ezifunyenweyo. Okulandelayo, phinda inani elingezantsi kunye nenani elingaphezulu ngo kwisiphumo lingabali ezinye ezongezelelweyo ze ubhale iziphumo edubuleyo omtsha. Ukuba sukuthandabuza ukuba ufumene inani ngokulinganayo ndisayikhumbula ipropati namaqhezu ezisisiseko.

Ngaphezu

Ngoku uqhubeke ngqo imisebenzi zezibalo kumanani iqhezu. Makhe siqale kakhulu elula. Kukho iinketho eziliqela iincindi ngaphandle. Kwimeko yokuqala zombini amanani kufuneka nedinomineyitha. Xa kunjalo, ngaba kuphela isongwe kunye amanani. Kodwa zifana akatshintshi. Umzekelo, 1/5 + 3/5 = 4/5.

Kwimeko apho amaqhezu amanani aphantsi ezahlukeneyo, kufuneka awazise zizonke, kwaye kuphela emva koko enze ngaphandle. Indlela yokwenza oko, siya ngabunye ngaphezulu kancinci. Kulo meko, wena uze nje sibe luncedo impahla amaqhezu ezisisiseko. UMthetho wayeza kuzisa inani ukuya zifana. Ixabiso akatshintshi.

Kungenjalo, le nto inokwenzeka ukuba iqhezu exutyiweyo. Emva koko kufuneka kuqala isongwe phakathi yinxalenye liphela, waza ke amaqhezu.

ukuphinda-phinda

Uphindaphindo amaqhezu kufuna akukho amaqhinga, yaye ukuze aphumeze esi senzo, kuyimfuneko ukwazi kwipropati namaqhezu ezisisiseko. Kwane- amanani ezihlangene wande kuqala kunye manani aphantsi. Imveliso ye elingezantsi iya kuba kwinani elitsha eliphezulu nenani eliphantsi - idinomineyitha entsha. Njengoko ubona, akukho nto esintsonkothileyo.

Inye kuphela ukuba wenze - ulwazi kwetafile phindo, ngokunjalo nokhathalelo. Ukongeza, emva kokufumana iziphumo, qiniseka ukuba batshekishe ukuba uyakwazi ukunciphisa eli nani okanye hayi. Ukuze ufunde ukunciphisa indlela iqhekeza, siya kuchaza kancinane emva koko.

nokukhupha

Ukwenza nokuthabatha amaqhezu, kufuneka bakhokelwe imithetho ngokufanayo ngaphandle. Ngenxa yoko ke, amanani kunye nedinomineyitha ukusuka kwinani le kuncitshiswa ngokwaneleyo ukuthatha kwinani subtrahend. Xa kunjalo, ukuba amaqhezu idominetha ezahlukeneyo, kodwa kufanele ukuba ikhokelele jikelele uze kwenza lo msebenzi. Njengoko kwimeko efanayo kunye Ukongeza, kuya kufuneka usebenzise iimpawu ezingundoqo zamaqhezu aljibra, kwakunye nezakhono ekufumaneni i NOC kwaye imiba eqhelekileyo ukuba amaqhezu.

division

Kwaye ke yokugqibela, ukusebenza kakhulu umdla xa ukusebenza ngamanani ezinjalo - candelo. Kuyinto elula yaye akafuni ukuba naziphi na iingxaki nkqu abo ningaqondi ukuba basebenze kakuhle kangakanani na ngamaqhezu, ingakumbi ukuba enze imisebenzi yokudibanisa nokuthabatha. Xa ngokwahlula umthetho osebenza phinda yi-iqhezu nguqu. Ipropati engundoqo zamaqhezu, njengoko kwimeko phindo, baxakeke kulo msebenzi ayiyi kubakho. Makhe sihlolisise ngokweenkcukacha ezingakumbi.

Xa lidala integers tivi kuhlala ingatshintshanga. Iqhezu-yokuchaka uphendulela in the esahlukileyo, oko kukuthi, inani elingezantsi ukuya iindawo zifana iswitshi. Emva eli nani banda kunye.

ukuncipha

Ngoko ke, siye sele dismantle kwenkcazelo kunye nolwakhiwo amaqhezu, iintlobo zazo, imithetho isebenzela amanani data, wafumana ipropati esisiseko zamaqhezu algebra. Ngoku makhe sithethe utyando ezifana unciphiso. Ukuncitshiswa iqhezu yinkqubo yotshintsho wayo - kwisahlulo inani elingezantsi kunye nenani elingaphezulu ngo inani elifanayo. Ngaloo ndlela, a iqhezu lifinyele, ngaphandle kokutshintsha iimpawu zayo.

Ngokuqhelekileyo xa esenza umsebenzi yemathematika kufuneka jonga kwi isiphumo afunyenweyo isiphumo kwaye ukuba ngaba ukunciphisa iqhezu onesiphumo, okanye mhlawumbi hayi. Khumbula ukuba umphumo lokugqibela lisoloko kubhaliweyo ayifuni nokwehla iqhezu.

neminye imisebenzi

Ekugqibeleni, siphawula ukuba siye kuluhlu, asizizo zonke imisebenzi kunye amanani iqhezu, ukukhankanya nje kakhulu kakuhle awaziwayo kuyimfuneko. Amaqhezu nabo alinganayo, baguqukele lesishumi kwaye vice versa. Kodwa kweli nqaku siza aziyi kuthathelwa ngqalelo le misebenzi kwakunye kwimathematika, baza benza kakhulu ngaphantsi ukudlula abo banikwa apha ngentla.

iziphumo

Siza kuthetha amanani iqhezu kunye nemisebenzi kunye nabo. Kwakhona sihlaziya ipropati esisiseko zamaqhezu, ukunciphisa amaqhezu. Kodwa qaphela ukuba zonke ezi imiba intetho nathi odlulayo. Sikunike kuphela imithetho kakhulu kakuhle eyaziwa nakwabasebenzayo, wanika eyona nto ibalulekileyo, ngokoluvo lwethu, ingcebiso.

Eli nqaku yenzelwe kanye ukuhlaziya ulwazi olityelweyo malunga amaqhezu wena, kunokuba ukunika iinkcukacha ezintsha kunye 'inqaku' intloko lwemithetho kunye neefomula, nto leyo, mhlawumbi, nawe ungafiki sibe luncedo.

Siyathemba ukuba okufundiswa kweli nqaku elula ngamafuphi, waba luncedo kuwe.