I ka papa kuhikuhiE waiwai o ka mahele. Hooponopono ana. I ka papa kuhikuhiE waiwai o algebraic hapa

Olelo ana o ka makemakika, kekahi hiki hapa ole hoʻopoina. Lākou like uku i ka puu o ka noonoo a me ka manawa. E hoomanao pehea na examples oe a mau loa aku olelo e aʻo i kekahi mau rula no ka hana ana me hapa, oe i ke hoomanao, a pili walaʻauʻana mahele waiwai. Ehia na nä olonä i hoʻolilo i ka 'imi i ka hoʻomaopopo like denominator, o ka oi aku ina ua oi examples o nā hua'ōlelo!

E mai hoomanao ia ia mea, a me ka wahi palaki i ma luna o nā kumu o ke a me na rula no ka hana me ka hapa.

Paa o ka hapa

E ka hoʻomaka me ka mea nui - paa. Hapa iki - He helu i he o kekahi a oi māhele o ka pa alima. Hapa i kākau i helu elua hookaawale ia e ka ia papamoe hou. Ka luna (a mua) o ka numerator, a me ka lalo (lua) - denominator.

He waiwai 'ana i kumumanaʻo, i ka denominator IeOOAOeAAYAaE ana na wahi he nui o ka māheleʻia ka mokuna, a me ka numerator - i ka helu o ka mahele i lawe ia a me na hapa. Pinepine, hapa iki, ina ka mea, i pololei, emi mai ma mua o kekahi.

Ano, e ka nānā i ka waiwai o kēia mau loa, a me nā kumu o rula hana ana me ia, i ka wa i i hoʻohana. Akā, ma mua, e kālailai mākou ia i kekahi mea e like me "na kumu o ka waiwai o ka naauao hapa", e kamailio e pili ana i na ano o ka mahele a me kā lākou mau hiʻona.

He aha e mahele

kekahi mau 'ano o nā huahelu hiki ke hōʻike'. Ka mua ka pono ole a me ka kekimala. Ka mua ka mea, ua olelo mai papa type hoʻopaʻa 'ia e ka naauao helu hoʻohana i ka papamoe a me ka hou. Ka lua oʻano hapa denoted ma ka ai-kapaia positional i hoʻopaʻa 'ia ka wā i PAaIEN mea mua helu hapa, a laila, ma hope o ka comma Hōʻike ka fractional hapa.

Ua mea waiwai 'ana i kumumanaʻo ana i loko o ka ia makemakika hoʻohana nā kekimala a me na hapa. I ka papa kuhikuhiE waiwai o ka mahele i ka mea ia manawa mea i pololei ia wale no ka lua o koho. Eia hou, e like me ka hapa kaʻawale pono a me ka hewa nui. Ma ka numerator mua mea mau emi ma mua o ka denominator. E noke no hoi i keia hapa ka emi mai o kekahi. Ke kūpono hapa i ku ei - numerator ma denominator, a ua oi aku kekahi. Pela i kekahi ke koho i ka helu. Ma keia 'atikala, mākou e maʻamau wale hapa noʻonoʻo.

mall o ka hapa

Kekahi kŰia, Nine Inch, kino ai 'ole makemakika, i kona mau' ano a me ka waiwai. No koe, a me ka fractional helu. Ka mea, i kekahi pono ma i kekahi hana hiki e hana ma luna o ia mau mea. He aha ka ke kumu waiwai o ka hapa iki? I ka rula hākālia nō ia ina ka numerator, a me ka denominator ua hoonuiia paha puunaueia e ka ia ka naauao helu, e kiʻi mākou i ka hou pana, i ke kumukuai o ka i mea like me ka mua. Ia mea, hoonui mau fractional helu 3/6 i 2, ua loaa i ka hou hapa 6/12, a me ka mea, e like.

Ma muli o keia waiwai, e mea hiki ke emi i ka mahele, e like me ka na denominators koho i kekahi lā ua paʻa o nā helu.

ana

I loko nō o ka mea i ka mahele e huhūʻoukou iā mākou nui huikau like i na mea nui, me ia oe hiki i hana walaʻauʻana makemakika hana e like me hou a me ka subtraction, multiplication a me ka puunaue. Eia hou, aia no he mau 'hana, e like me hoemi hapa. Maoli ai, kēlā i kēia mau hana a ua hana e like me kekahi mau rula. Knowledge o kēia mau kānāwaiʻo ia ka mea hiki pono o ka hana me ka hapa,ʻo ia ka mea maʻalahi a oi hana hoihoi. Ia mea ke kumu ke hoʻomau i ka noonoo ana me oe i ka hoʻokumu paʻa rula a me algorithm o ka hana ana me ka nui wā.

Akā, ma mua kamailio e pili ana i na makemakika ana e like hou me subtraction, ua wehewehe i ka hana e like me ka lawe ana i kekahi, he pono ole denominator. Here mākou pono i hana ai, a me ka mea pono keia mau ike, he walaʻauʻana waiwai o ka hapa i kahi.

like denominator

I mea e lawe mai i ka helu ana i ka hoʻomaopopo like denominator, oe mua pono e 'imi i ka mea uuku e like me ka lau o ka denominators elua. I ka ka mea uuku helu i mea divisible ma nā mau denominator me ka kumumea. Ke easiest ala, e koho i ka LCM (ka liʻiliʻi loa, he pono ole mau) - kākau mai ma ka laina o kekahi mau no i hookahi denominator, alaila, o ka lua, a loaʻa i waena o lākou i ka ń helu. Ma ka hanana uaʻaʻole i loaʻa i ka NOC, i mea, i kēia mau helu mai mai i ka pono mau o ka helu e hoʻonui au iā lākou, a me ka mea kūpono waiwai ua noʻonoʻo no ka NOC.

No laila, ua loaʻa i nā NOCs manawa i e imi i ka hou ololi. E hana i kēia, ma ka huli mokuahana NOC denominators, a kākau ma luna o kēlā me kēia no ia loaa ka helu. Next, e hoonui i ka numerator a me ka denominator ma ke kūpono i nā multiplier, a palapala i nā hualoaʻa me ka hou pana. Inā 'oe i kanalua ai oe i loaa e like helu ana nō hoomanao i ke kumu o mahele waiwai.

Eia hou kekahi

Mākou Ano, ke hoomau 'ana i ka makemakika ana ma fractional helu. E ka hoʻomaka me ka loa noonoo ole. Aia i kekahi mau koho mahele hou. Ma ka hihia mua nā helu i ka ia denominator. Ma ia ka hihia, hiki wale nō e pelupelu ia pu numerators. Akā, i ka denominator 'aʻole e hoʻololi' ana i. No ka laʻana, 1/5 + 3/5 = 4/5.

Ma ka hihia kahi hapa iki o ka okoa denominators, oe e lawe mai ia i ka huina, a wale laila, hana hou. Pehea e hana ia, ke i dismantled iki kiʻekiʻe. Ma keia kulana, oe wale e hele mai i loko o mākaukau walaʻauʻana mahele waiwai. Rule e lawe mai i ka helu i ka pau denominator. Ka waiwai Aʻole e loli ana.

ʻOkoʻa, ka mea, ke hiki i ka hui hapa. A laila, e pono mua e pelupelu ia ma waena o kekahi hapa o ka a pau, a laila, i ka mahele.

multiplication

Multiplication o ka hapa pono ole ia paena, a ma ka mea e hooko keia hana, e pono e ike i ke kumu o mahele waiwai. E lawa pono mua eʻalo mai interconnected numerators a me denominators. Ke huahana o ka numerator e ia i ka hou numerator a me ka denominator - ka hou denominator. E like me 'oe ke ike, i ka mea e huikau.

Ka mea wale nō ka mea āu i hana e - ike o ka multiplication papa, e like me mālama. Eia hou, ma hope o ka loaa ana i nā hualoaʻa, eʻoiaʻiʻo e nānā ināʻoe ke emi keia helu paha,ʻaʻole. E aʻo pehea e ho'ēmi i kekahi hapa, e hoomaopopo aku no mākou i kekahi apana uuku na hope.

subtraction

Hana subtraction o ka mahele, e e alakaʻiʻia e ka ua rula like no ka mea hou. Ke'ī mai, ma na huahelu a me ka mea like denominator, mai ka numerator o ka hoemi lawa lawe numerator subtrahend. Ma ia hihia, ina na mahele okoa denominators, ka mea e alakai ai i ka nui, a laila hooko i ka hana. Like i loko o ka like hihia me ka hou, oe e pono e hoʻohana i ka walaʻauʻana waiwai o algebraic hapa, e like me nā mākau i loaa i ka NOC, a me ka ho'ānoʻole aʻe no ka hapa iki.

mahele

A me ka mea hope, o ka loa hoihoi 'hana e hana ia me na helu - mahele. Ua mea, a aole i i kekahi pilikia, a hiki i ka poe i ike e ole pono ana i ka hana me ka mahele, me ka maikai, e lawe mai i ka hana o ka hou a me ka subtraction. I ka mahele ana i ka rula hana like multiplication ma ka inverse mahele. I ka papa kuhikuhiE waiwai o ka mahele, e like me ia ma ka hihia o ka multiplication, e hoʻomau ana no keia hana,ʻaʻole e e. E mākou nana i hou au mamuli.

I ka mahele ana integers mahele koe ua hoʻololiʻia. Hapa-splitter huli i loko o ka e ku pono, 'o ia hoʻi, ka numerator a hiki i na wahi denominator E kuapo. Ma hope iho o kēia helu mahuahua iho la lakou i kahi hookahi.

ka ho'ēmiʻana

No laila, ua i dismantled mua i ka ho'ākāka 'ana a me ka' ole o ka hapa iki, kā lākou mau ano, rula o ana i ka ikepili helu, loaʻa i ka walaʻauʻana waiwai o algebraic hapa. Ano, e ka kamailio e pili ana i ka hana e like me ka ka ho'ēmiʻana. Ka ho'ēmiʻana o ka hapa o ke kaʻina hana o kona loli - ka mahele o ka numerator a me ka denominator ma ka hookahi helu. Pela, ua hoemiia kekahi hapa, me kona waiwai hoʻololi.

Maʻamau ka wā ka hanaʻana makemakika hana e lawe i ka pili nana i ka hopena i loaa i loko o ka hopena, a ike ai i ko, e emi i ke kūpono mahele, a paha ole. E hoomanao i ka hopena hope ua mau palapala 'aʻole i koi fractional ka ho'ēmiʻana.

nā hana

Eia hoi, ua e hoailona oukou ia makou i makemake ai,ʻaʻole nā mea a pau ana i fractional nui, i olelo ia wale nō ka loa maikaʻi-ike a me ka pono. hiki i mahele equalize, hoohuli e kekimala a me ka Hope versa. Akā, i loko o kēia 'atikala,ʻaʻole mākou e noʻonoʻo i kēia mau hana e like me ka makemakika, ka mea, hana nui emi ma mua o ka poe i i haawiia mai e mākou ma luna pinepine.

mea, ua ulu

E kamaʻilio pū mākou e pili ana i fractional huahelu a ana me ia. Mākou i ua kālailai i ke kumu o ka waiwai o ka mahele, hoemi hapa. Akā, e hoailona oukou i ka mea a pau o kēia mau nīnūnē i kamaʻilioʻia mākou i ka hele. Ua hāʻawi mākou wale nō ka loa maikaʻi-ike a me ka hana rula, i keʻano nui, i loko o mākou manao, aʻo.

He 'atikala ua manao e aho e hoomaha ia ia i ka hoʻopoina' ike e pili ana hapa iki oe, aole i hou 'ike, a me ka "nāʻai" i ke poo o ka pau ole, rula a me nā papakuhikuhi, a, loa paha, oe i ole e hele mai i loko o mākaukau.

E manaolana aku kakou i ka mea hōʻike ma ka pauku wale, a succinctly, lilo iho la ia pono ia oe.