Subtraction o hautau ki denominators rerekē. Addition me tango o hautau

Ko tētahi o te pūtaiao tino nui, e taea te kite i te tono o nei i roto i taua pekanga rite matū, ahupūngao, a tae noa te koiora, he pāngarau. Ko te ako o tenei pūtaiao taea ki tatou whakawhanake etahi huru maitatai hinengaro, te whakapai ake whakaaro waitara me te kaha ki te aro. Ko tētahi o nga kaupapa e tika tokanga makehe i roto i te akoranga "Pāngarau" - tāpiritanga me te tangohanga o hautau. ako tokomaha ngā ākonga faatupu te reira uaua. Mahalo ka tauturu i to tatou tuhinga mahino pai koe i tenei kaupapa.

Kia pehea te tango hautau e te taua nei denominators

Shot - te reira te taua tau, e taea te whakaputa i te whānuitanga o ngā mahi. rerekē ratou i te tau tōpu ko te aroaro o te tauraro. Ko te aha, no te raveraa i ngā mahi ki te hiahia hautau ki te tūhura i etahi o nga āhuatanga me ngā ture. Ko te take māmā ko te tangohanga o hautau e faahoho'ahia rite te tau taua nei denominators. Mahi i tenei mahi e kore e waiho uaua ki te matau koutou te ture ohie:

• I roto i te tikanga ki te tango i te hautanga o tetahi rua, he tika te reira i te taurunga o te hautau i waho whakaiti tango te taurunga o te deductible hautanga. Tenei tau lekooti o ngā rerekētanga i roto i te taurunga me te tauraro o te kaupapa kotahi: k / m - b / m = (kp) / m.

Tauira tango hautau e te taua nei denominators

Kia kite a pehea titiro ki runga ki te tauira:

7/19 - 3/19 = (7 - 3) / 19 = 4/19.

Te kore whakaiti i te taurunga o te hautau "7" tango te taurunga o te hautau deductible "3", whiwhi tatou "4". Tenei tau tuhituhi tatou i roto i te taurunga o te whakahoki, ka hoatu i roto i te tauraro te tau taua e ko i te denominators o nga hautau tuatahi, me te tuarua - "19".

Ko te pikitia i raro nei whakaatu atu i te tahi mau hi'oraa.

Kia whakaaro o te tauira matatini ake, i hua tangohanga o hautau ki te tauraro taua:

29/47 - 3/47 - 8/47 - 2/47 - 7/47 = (29 - 3 - 8 - 2 - 7) / 47 = 9/47.

Te kore whakaiti i te taurunga o te hautau "29" na roto i te tango i te numerators i roto i te tahuri hautau muri katoa - "3", "8", "2", "7". Ka rite ki te hua, te tiki matou te hua o "9", i roto i te taurunga o te whakahoki te i tuhituhia, a tuhituhi i roto i te tauraro, ko te tau e ko i te tauraro o ngā hautau katoa - "47".

Addition o hautau ki te tauraro taua

kawea tāpiritanga me te tangohanga o te hautau i roto i runga i te parau tumu taua.

• Hei korukoru hautau ko te taua, e hiahia ana koe ki te tāpiri i ake nga numerators nei denominators. tau riro mai - te moni o te taurunga me te tauraro ka noho te taua: k / m + b / m = (k + b) / m.

Kia kite a pehea titiro ki runga ki te tauira:

1/4 + 2/4 = 3/4.

Hoki te taurunga o te wā tuatahi o te hautanga - "1" - tāpiri i te taurunga o te hautau wā tuarua -. "2" Ko te hua - "3" - he moni lekooti i roto i te taurunga me te tauraro o te rahui ko te rite taua hakari i hautau -. "4"

Hautau ki denominators rerekē, me te tango

Mahi ki hautau e whai te taua tautunga, kua matou kōrero kē. Ka rite ki a koutou e taea te kite, i mohio ture ohie ki te whakaoti i enei tauira tino ngāwari. Ko te aha, ki te hiahia koe ki te mahi i tētahi mahi ki te hautau e whai denominators rerekē? haere mai tokomaha ngā ākonga kura tuarua ki te uaua ki taua tauira. Ko konei, rawa, ki te matau koutou te parau tumu o rongoā, tauira ka kore e hakari mo uaua koe. Here rawa i reira ko te tikanga, i waho nei te otinga o taua hautau e taea noa.

• Hei hanga i te tangohanga o hautau ki denominators rerekē, me kawe ratou koutou ki te taua tauraro noa i raro.

Ki te ako ki te mahi i taua, ka kōrero tatou ake.

rawa te hautau

Ki arahina e rave rahi hautau ki te tautunga taua, ki te whakamahi i roto i whakaoti i te taonga tino nui o hautau: i muri i wehewehe i whakanuia ranei te taurunga me te tauraro e te maha ano ka hurihia rite ki tenei.

Hei tauira, te hautanga 2/3 taea whai denominators pērā i "6", "9", "12" me te t. D., I.e. kia tango ai te ahua o tetahi tau e ko he maha o "3". I muri i te taurunga me te tautunga, tini tatou e "2", whiwhi koe i te hautanga 4/6. I muri i te taurunga me te tauraro o te hautau tatou tini te pūtake ki te "3", whiwhi tatou 6/9, me ki te ki te pānga rite hua ki te maha "4", whiwhi tatou 8/12. Ka taea te tuhituhi i te reira rite te whārite kotahi e whai ake:

2/3 = 4/6 = 6/9 = 8/12 ...

Te tuhi i te torutoru hautau ki te tauraro taua

Fakakaukau ki he founga ki te kawe e rave rahi hautau ki te tauraro taua. Hei tauira, tangohia te hautau whakaaturia i roto i te pikitia i raro nei. Tuatahi ti'a ia tatou ki te whakatau i te tini o e taea e te tauraro mo katoa o ratou. Hei whakahaere whakawhānui denominators ngā Factoring.

e kore e taea te decomposed te tauraro o te hautau 1/2, me 2/3 ki ngā āhuatanga. 7/9 tauraro e rua take 7/9 = 7 / (3 × 3), te tauraro o te hautau 5/6 = 5 / (2 x 3). Na e hiahia ana koe ki te whakatau he aha e waiho te āhuatanga te raro o nga hautau katoa wha. Mai i te hautanga tuatahi i roto i te tauraro e te tau "2", ka me te mea hakari i roto i nga denominators katoa i roto i te hautanga 7/9 E rua kāhui tau, katahi ratou ano me e rua kia reira i roto i te tauraro. Hoatu te runga ake, whakatau tatou e ngā te tauraro o ngā āhuatanga e toru: 3, 2, me 3 Ko 3 x 2 x 3 = 18.

A feruri i te pere tuatahi - 1/2. I roto i tona tauraro kua "2", engari e kore te mea he mati kotahi "3" i reira, a reira me kia rua. Ki te mahi i tenei, tini tatou i te tauraro o te kāhui tau e rua, engari, kia rite ki te taonga o te hautanga, te taurunga me te hiahia tatou ki te tini i te rua kāhui tau:
= 1/2 (1 x 3 x 3) / (2 x 3 x 3) = 9/18.

Waihoki hua mahi ki te toe hautau.

• 2/3 - Kei te ngaro i roto i te tautunga tetahi o toru me tetahi o e rua:
  = 2/3 (2 x 3 x 2) / (3 x 3 x 2) = 12/18.
• 7/9 7 / (3 x 3) ranei - i roto i te tautunga kei te ngaro tatakirua:
  7/9 = (7 x 2) / (9 x 2) = 14/18.
• 5/6 5 / (2 x 3) ranei - i roto i te tautunga kei te ngaro kāhui tau:
  5/6 = (5 x 3) / (6 x 3) = 15/18.

Katoa i roto i te katoa rite tenei titiro reira:

Me pēhea te ki te tango me te tāpiri ake hautau ki denominators rerekē

Ka rite ki whakahuatia i runga ake, i roto i te tikanga ki te mahi i te tua tangohanga ranei o hautau ki denominators rerekē, kia arahi ratou ki te tauraro noa, a ka tango painga o nga ture o tango hautau ki te tauraro taua, e kua oti korerotia.

Titiro ki te tauira: 4/18 - 3/15.

kitea e tatou maha o 18 me 15:

• Ko te tau 18 tito te o 3 x 2 x 3.
• Ko te tau 15 uru te o te 5 x 3.
• Ka ngā te puninga whānui o te āhuatanga e whai ake nei 5 x 3 x 3 x 2 = 90.

A, no te kitea te tautunga te, ko reira e tika ana ki te tātai i te whakanui, i e kia rerekē mō ia hautanga, e ko te maha e ka tika ki te tini i te tautunga kore anake, engari ko te taurunga. Ki tenei tau kitea tatou (maha noa), wehea e te tauraro o te hautau, i te mea e tika ana ki te tautuhi i te āhuatanga atu.

• 90 wehea e 15. Ko te maha hua "6" Ko te tauwehe ki te 3/15.
• 90 wehea e 18. Ko te maha hua "5" Ko te tauwehe ki te 4/18.

Ko te wāhanga i muri mai o to tatou rongoā - mau mai i ia hautanga ki te tauraro "90".

Kia pehea te mahi te tenei, kua korero kua matou. A feruri i, pera i tuhituhia i roto i te tauira:

(4 x 5) / (18 x 5) - (3 x 6) / (15 x 6) = 20/90 - 18/90 = 2/90 = 1/45.

Ki te te hautanga ki te tau iti, he reira taea ki te whakatau i te tauraro noa rite i roto i te tauira whakaaturia i roto i te pikitia i raro nei.

Waihoki hua me te tua o hautau he denominators rerekē.

Tāpiritanga me te tangohanga o hautau ki ngā wāhanga katoa

Subtraction o hautau me ratou tua, kua tatou i kōrero kē i roto i te taipitopito. Otiia me pehea ki te hanga i te tangohanga, ki te reira ko te hautanga o te katoa? Ano, te whakamahi i te torutoru ture:

• hautau katoa ki wahi tōpū, iritihia ki te he. I roto i te mau parau ohie, tango i te wahi tōpū. Ki te mahi i tenei, nui haere te wahi tau katoa e te tauraro o te hautau whiwhi mā te tāpiri i te hua ki te taurunga. E tau, i whiwhi nei te i muri i enei mahi - te taurunga hautau tano ore. e noho tonu i te tauraro.
• Ki te whai i te hautau denominators rerekē, kia kawea ratou e koe ki te taua.
• Te mahi i te tua tangohanga ranei o te taua denominators.
• Ki runga ki te taenga o hautau tano ore ki te tohatoha wahi o te katoa.

Tera atu ano tetahi ara e e taea e koe te kawe i roto i tua me te tangohanga o hautau ki ngā wāhanga tau tōpū. Ki tenei mutunga, kua kawea mahi i motuhake i nga wahi katoa, me ngā mahi motuhake ki hautau, a kua oti te tuhituhi tahi nga hua.

Ko te tauira i runga ake tito te o hautau e whai i te taua tauraro. I roto i te take i reira e rerekē nga denominators, me arahi ratou ki te taua, a ka ki te mahi atu mahi, pera me whakaaturia i roto i te tauira.

Subtraction o hautau o te tau tōpū

Tetahi o nga momo o ngā mahi ki te hautau, ko te take, ina e hiahia ana koe ki te tango i te hautanga o te tau māori. I mawhiti tuatahi te mea te reira rite ki te tauira o uaua ki te whakatau. Heoi, te reira tino ohie konei. Hei whakaoti me iritihia te reira ki te hautanga tōpū ki te tauraro te e reira te tangohia i roto i te hautau. tangohanga hua atu, tangohanga e ngákaunuitia ki te taua denominators. rite tenei hoki tauira titiro reira:

7 - 4/9 = (7 x 9) / 9 - 4/9 = 53/9 - 4/9 = 49/9.

Hoatu i roto i tenei tangohanga tuhinga o hautau (Grade 6) Ko te pūtake mo te otinga o atu tauira matatini, e kōrerohia i roto i te akomanga e whai ake nei. Knowledge o tenei kaupapa e whakamahia i muri hoki whakaoti mahi, pärönaki, me te pera i runga i. Na reira he mea tino nui ki te mahino ka matau ngā mahi ki hautau, kōrero i runga ake.