Hautanga. Whakarea o hautau noa, ira, i konatunatua

ko te kaupapa o "Fractions" I roto i te akoranga o waenganui, me te kura nui ākonga. Heoi, he nui whanui atu i taua hoatu i roto i te tukanga akoranga tenei ariā. I teie mahana, e kore te mea nohinohi te te ariā o hautau, a taea kawe kore te katoa i roto i te tātaitanga o te whakapuaki, hei tauira, whakarea o hautau.

He aha te he hautau?

Mua, ko e tau hautanga tika ki te hiahia ki te ine i. Ka rite ki whakaaturanga mahi, maha kitea tauira i runga i te whakamāramatanga o te roa o te wāhanga, te rōrahi o te tapawhā parallelepiped, te rohe o te tapawhā.

I te tīmatanga, kia mohio te ākonga ki te ariā o te āhua o ki te faaite. Hei tauira, ki te wehe koe i te merengi ki te 8 nga wahi, ka ka whiwhi ia tetahi-waru o merengi. Ko tetahi wahi o te huaina matamata e waru Here.

Share, rite ki te ½ o te uara i huaina he hawhe; ⅓ - tuatoru; ¼ - hauwhā. Tāurunga hanga ^{_{5/8, 4/5, 2/4}} huaina hautau noa. hautau noa wehea e te taurunga me te tauraro. I waenganui ia ratou ko te aho hautanga, ngā rītaha ranei. Ka taea e ngā rītaha i roto i te puka o e rua ngā rārangi whakapae me te matahao kia unu. I roto i tenei take, tohu te reira i te tohu wehenga.

Ko te tauraro e tohu ana e hia hea te taua tūemi uara ngā; me te taurunga - tangohia te taua maha o hea te. Ko te taurunga te tuhituhi i runga i te rītaha, te tauraro - raro.

Ko te ara tino watea ki te whakaatu hautanga noa ki te taunga kurupae. Ki te te wehea te wāhanga wae ki te 4 wahi rite, tohu te wahi o ia reta Latin, ka taea e te hua e ki te tiki i te hoho'a pai. Ko te kupu, ko te wāhi A tohu te rahi rite ki ^_1/4 o te roa tapeke o te kōwae, me tohu wāhi B te ^_2/8 o te wāhanga homai.

hautau momo

He noa Fractions,-ira, me tau whakauru. I tua atu, e taea te wehea te hautanga ki te tika me te he. he pai atu hoki hautau noa tenei whakarōpū.

I raro i hautanga tika mahino tau nei taurunga ko iti iho i te tauraro. Nä, ko te hautanga tano ore - te maha e kua neke atu i te te tauraro taurunga. Kei te nuinga o te momo tuarua tuhituhia rite te puka whakauru. hanga te faaiteraa taua te ake o tau tōpū me ngā wāhanga hautanga. Hei tauira, 1½. 1 - te wahi katoa, ½ - hautanga. Heoi, ki te hiahia koe ki te kawe i roto i tetahi whawhe o te faaiteraa (wehenga whakarea o hautau me ratou whakaiti faafariuraa ranei ranei), kua iritihia maha whakauru ki hautau tano ore.

he tika faaiteraa hautanga tonu iti iho i te kotahi, a he - he nui atu i rite ki te 1 ranei.

Ko te ira, ka e tenei faaiteraa mahino te record e whakaatu tetahi tau, te tauraro o te faaiteraa hautanga o e taea te whakahuatia i roto i te kōwae ki te torutoru ngā kore. Ki te he tika te pukapuka, na te wahi katoa i roto i te momotuhi ira he rite ki te kore.

Hei tuhituhi i te hautau ā-ira, me te tuatahi tuhituhi koe i te wahi katoa, kia wehe i te reira i te hautanga ki te piko, a ka tuhituhi i te faaiteraa hautanga. Me mahara te reira e muri i te taurunga ira me i roto i te taua maha o pūāhua mamati rite ngā kore i roto i te tauraro.

Tauira. pere reira 7 ^_21/1000 i momotuhi ira.

Translation Hātepe hautau ta'etotonu ki tau whakauru me te hurihia

Tuhituhia i roto i te whakautu ki hautau ta'etotonú hē raruraru, te tikanga kia pera tahuri reira ki te maha whakauru:

• wehe i te taurunga i te tauraro e wātea ana;
• i roto i te tauira motuhake te huawehe wāhanga - wae;
• me te toenga - ko te taurunga o te wahi hautanga, e noho tonu i te tauraro.

Tauira. Tahuri hautau ta'etotonu ki tau whakauru: ^_47/5.

Whakatau. He rite ki te 9, te toenga = 2. No reira, ^_47/5 = 9 ^_2/5 5. Ko te huawehe te kanohi: ^_47.

I te tahi taime te mea e tika ana ki te whakauru i te maha whakauru hei hautau tano ore. Na e hiahia ana koe ki te whakamahi i te hātepe e whai ake nei:

• whakanuia te wahi tōpū e te tauraro o te faaiteraa hautanga;
• Kei te tāpiri te hua hua ki te taurunga;
• te hua Kua oti te tuhituhi i roto i te taurunga, tonu tauraro tonu.

Tauira. Tohu i te tau i roto i te puka whakauru rite hautau tano ore 9 ^_8/10.

Whakatau. 9 x 10 + 8 = 90 + 8 = 98 - taurunga.

Whakahoki kupu: ^_98/10.

Whakarea o hautau

I hautau noa e taea te mahi i ngā ngā mahi taurangi. Hei tini nga tau e rua, e hiahia ana koe ki te tini i te taurunga ki te taurunga me te tauraro ki te tauraro. Ano, ko te whakarea o hautau ki denominators rerekē e kore e rere ke te reira i te hua o te tau hautanga ki te taua denominators.

tupu te reira i e i muri i te kimi i te hua e hiahia ana koe ki te whakaiti i te hautau. Ko reira whakahauanga ki te whai ki te faaohie i te faaiteraa hua. O te akoranga, e kore e taea e tatou e te mea e te hautanga ti'a ore i roto i te whakahoki - he mea he hape, engari ka karanga ano hoki te whakahoki tika uaua rawa.

Tauira. Kimihia te hua o rua hautau noa: ½, me ^_20/18.

I taea te kite i te tauira, i muri i te kimi i te hua o te hautanga tahuri tuhi cancellative. Na te taurunga me te tauraro i roto i tenei take, ko te wehewehe i te 4, me te hua kaimahi whakautu ^_5/9.

Whakarea o hautanga ā-ira

He rerekē tino i mahi noa i tona parau tumu-ira mahi toi. Ko te kupu, whakarea o hautau ko e whai ake:

• ira e rua ki te kia tuhituhia i raro i tetahi ki tetahi, kia i nga mati rightmost tetahi ki runga ake i te tahi atu;
• Me koe ki te tini i te maha o tuhia ahakoa te piko, i te mea rite maori;
• tatau i te maha o ngā mati i muri i te tohu ira i roto i ia o nga tau;
• ki te tiki i muri i whakanuia i te hua e hiahia ana koe ki te tatau i te tika rite maha pūāhua tau i rite roto te roto i te nui o multipliers e rua i muri i te ira, a ka hoatu e wehe te tohu;
• ki te te tau i roto i te hua ko iti wa i mua o ratou ki te tuhituhi rite maha ngā kore ki te taupoki ana tenei nui, hoatu he piko, ka pēnei ki te tau tōpū wahi ko te kore.

Tauira. Tātaihia te hua o rua-ira: 2.25 me 3.6.

Whakatau.

Whakarea o hautau whakauru

Ki te tātai i te hua o rua hautau whakauru, e hiahia ana koe ki te whakamahi i te tikanga o te whakarea o hautau:

• whakawhiti tau i roto i te puka whakauru i roto i te hautanga he;
• Kimihia te hua o te numerators;
• kitea te hua o te denominators;
• tuhi i te hua whiwhi;
• ki te faaohie i te faaiteraa.

Tauira. Kimihia te hua o 4½ me 6 ^_2/5.

Whakanuia te tau e te hautanga (hautanga he tokomaha)

I tua atu ki te kimi i te hua o rua hautau, tūpono tau whakauru mahi i reira e tika ana whakanuia e te tau māori i roto i te hautanga.

Na, ki te kitea te mahi, me te hautau ā-ira o te tau māori, e hiahia ana koe ki te:

• tuhi i te maha i raro i te pere, a ko nga mati rightmost tetahi ki runga ake i te tahi atu;
• ki te kitea te mahi, i roto i te noa'tu o te piko;
• te hua whiwhi ki te wehe i te wahi tau tōpū i te ira i te piko, tatau i te maha e tika ana o ngā mati i muri kei te ira kei roto i te hautanga.

Kia whakanuia e te maha o te hautanga noa, kia kitea te taurunga mahi me te take taiao. Ki te te whakahoki, ko te hautanga cancellative, kia tahuri ai.

Tauira. Tātaihia te hua o ^_5/8 me 12.

Whakatau. _{^{* 12 = 5/8 (5}} * 12) / 8 = 60/8 = 30/4 = 15/2 = 7 1/2 _.

A: Hūrae ^_1/2.

I taea te kite i te tauira o mua, ko reira tika ki te whakaiti i te putanga hua me te tahuri whakapuaki hautanga tano ore i roto i te tau whakauru.

Ano, whakarea me te kitenga āwangawanga hautau o hua i roto i te tikanga whakauru me te tauwehe tūturu. Hei tini kia enei tau e rua te wahi tōpū o te take te whakauru i whakanuia e te maha, te taurunga whakanuia e te uara taua, me te tauraro mahue tonu. Ki te hiahiatia, he mea e tika ana ki te faaohie i te hua.

Tauira. Kimihia te hua o 9 ^_5/6 me 9.

Whakatau. 9 ^_5/6 x 9 = 9 + 9 x ^{(5 x _{9) / 6 = 81 + 45}} /6 = 81 + 7 3/6 = 88 1/2 _.

Whakahoki kupu: 88 ^_1/2.

Whakarea i te multipliers 10, 100, 1000 0.1 ranei; 0.01; 0.001

O te kōwae mua arata'i ki te ture e whai ake nei. Hoki whakanuia-ira i te 10, 100, 1000, 10000, me pera i runga i. D. Me ki te neke i te piko ki te tika e rite maha mati tohu rite ngā kore i roto i te kōwae whakanui i muri.

Tauira 1. Kimihia te hua o 0.065 me 1,000.

Whakatau. 0.065 x 1000 = 0065 = 65.

Whakahoki kupu: 65.

Tauira 2. Kimihia te hua o 3.9 me 1,000.

Whakatau. 3.9 x 1,000 = 3,900 x 1000 = 3900.

Whakahoki kupu: 3900.

Ki te mea e tika ana ki te tini tau tōpū pai, me 0.1; 0.01; 0,001; 0,0001 a E. na i runga i., Kia e whakakorikoria ki te mahue he piko i roto i te hua hua ki rite maha ngā mati tohu rite ngā kore he ki kotahitanga. Ki te tika, i mua i tuhia te tau māori ngā kore i roto i te rawaka te nui.

Tauira 1. Kimihia te hua o 56 me 0.01.

Whakatau. 56 x 0.01 = 0056 = 0.56.

Whakahoki kupu: 0.56.

Tauira 2. Kimihia te hua o 4 me 0.001.

Whakatau. 4 x 0,001 = 0004 = 0,004.

Whakahoki kupu: 0.004.

Na, i kitea i te hua o ngā hautau kia māmā, te kahore e te hua tatauranga; i roto i tenei take, kahore he tātaitai e kore e meatia e tika.