Subtraction o ka mahele me ka okoa denominators. Eia hou kekahi a me subtraction o ka hapa

Kekahi o ka mea nui loa 'epekema, ka palapala noi o i hiki ke ike i loko o ia mau no ka hoʻopaʻi' me kemika, ke kālaikūlohea, a hiki kālaimeaola, makemakika mea. Ka like o keia 'epekema e leie aku mākou i kūkulu i kekahi ka noʻonoʻo' ano, ka hoʻoikaika 'ana Hōʻuluʻulu manaʻo , a me ka hiki i ka noʻonoʻo. Kekahi o na kumuhana e pono kūikawā noonoo ana i loko o ka papa "Balanced" - hou a me ka subtraction o ka mahele. Ua nui nā haumāna hoʻopaʻa haʻawina ia ke kumu no ka hihia. Paha, e kōkua mākou 'atikala oe maikaʻi ike i kēia kumuhana.

Pehea unuhi hapa kona denominators i ka ia

Pana - ka mea, 'o ka mea hookahi helu, a hiki paka i keʻano o ka hana. Ka mea, oko mai o ka integers o ke alo o ka denominator. I mea no ke aha la ae hana i ka wā ana me ka mahele pono, e makaikai i kekahi o nā hiʻona a me ka rula. Ke simplest neo mea he subtraction o ka hapa kona denominators i poe like me ka ia helu. Hana i kēia hana,ʻaʻole e e paʻakikī ina oe i ka poe noonoo ole rula:

• I mea e deduct i kekahi hapa o kekahi lua, ia mea pono, mai ka numerator o ka mahele me ka hōʻemiʻana unuhi i ka numerator o ka mahele deductible. Keia moolelo helu o nä mea i loko o ka numerator a me ka denominator o ka ia kumuhana: ke k / ka m - e / ka m = (kb) / m.

Ano he kumu hoʻohālike unuhi hapa kona denominators i ka ia

E pehea ka mea nānā i ka hana o ka ike:

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

Me ka hōʻemiʻana i ka numerator o ka mahele "7" unuhi i ka numerator o ka mahele deductible "3", ua kiʻi "4". Keia helu, ua kākau i loko o ka numerator o ka pane, a hahao i loko o ka denominator ka hookahi helu i ua i loko o ka denominators o ka mua a me ka lua o ka hapa - "19".

Ke kiʻi ma lalo hōʻike he mau hou examples.

E ka noonoo i ka hou luna 'hoʻohālike, a hua mai la i subtraction o mahele ana me ka ia denominator:

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

Me ka hōʻemiʻana i ka numerator o ka mahele "29" ma ka unuhi i ka numerators ma ka huli a pau mahope hapa - "3", "8", "2", "7". E like me ka hopena, ua loaa i ka hopena o ka "9", i ua palapala i loko o ka numerator o ka pane, a kākau i loko o ka denominator o ka helu i mea i loko o ka denominator o pau kēia mau hapa - "47".

Hou o ka mahele me ka ia denominator

Eia hou kekahi a me subtraction o ka hapa iki ua lawe mai ma luna o ka ia rula.

• E pa hapa kona denominators i ka ia, e pono e hoonui i ka numerators. Loaa helu - i ka huina o ka numerator, a me ka denominator, e noho i ka ia: ke k / ka m + b. / Ka m = (k + b) / m.

E pehea ka mea nānā i ka hana o ka ike:

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

No ka mea numerator o ka mua manawa o ka mahele - "1" - ohui i ka numerator o ka lua o ka makahiki hapa -. "2" Ka hopena - "3" - He moolelo na dala ma ka numerator a me ka denominator o ka caiiaaaieea no o ka ia me ia makana ma ka hapa iki -. "4"

Mahele a me kekahi mau denominators a me ka subtraction

Hana me ka hapa i i ka ia denominator, mākou i kūkā mai mamua. Me oe e ike, e ike ana i na mea lula e hoʻoponopono i kēia mau examplesʻano wale. Akā, mea, inā e pono ai e hana i ka hana me ka hapa i iʻokoʻa denominators? nā haumāna kula kiʻekiʻe he nui e hele mai i ka pilikia a hiki i ia mau examples. Akā, iʻaneʻi, hoi, ina oe i ike i ka rula o nā pāʻoihana, examples e hou e ike no oe i ka hihia. Eia pū ka mea, he rula, me ka a ka pāʻoihana o na mahele mea wale ole i ke Akua.

• E hana i kekahi subtraction o ka mahele me ka okoa denominators, oe e lawe mai ia lakou i ka ia a hiki ilalo lilo, he pono ole denominator.

E aʻo pehea e hana ia, mākou e kamaʻilio hou.

mahele waiwai

I kekahi mau mahele alakai ai i ka ia denominator, e e ia i loko o ka hoʻoponopono i ka waiwaiʻano nui o nā mahele: ma hope o ka mahele ana i 'ole hoonui loa ana i ka numerator a me ka denominator ma ka ia helu, e olokaa like me keia.

No ka laʻana, i ka mahele 2/3 hiki i denominators e like me "6", "9", "12" a me ka 'ole, D., a laila ka mea, e lawe i ka palapala o kekahi helu i mea he mau o "3". Ma hope o ka numerator a me ka denominator, ua hoonui ma "2", e loaa i ka mahele 4/6. Ma hope o ka numerator a me ka denominator o ka mahele, ua hoonui i ke kumu a hiki i ka "3", ua loaa 6/9, a ina i like ia i ka paka me ka helu "4", kiʻi mākou 8/12. ka mea hiki ke palapala me he hookahi helu kaulike like penei:

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

Pehea e kulanakauhale i kekahi mau mahele i ka ia denominator

pehea e lawe mai kekahi mau mahele i ka ia denominator noonoo. No ka laʻana, lawe i ka mahele i hoikeia ma ke kiʻi ma lalo nei. Mua, ua pono e hooholo pehea nui hiki e ka denominator no a pau o ia mau mea. E kōkua hoʻonui na denominators factoring.

Ke denominator o ka mahele 1/2, a me 2/3 hiki ole ke decomposed i kumumea. 7/9 Denominator i mau ololi 7/9 = 7 / (3 × 3), i ka denominator o ka mahele 5/6 = 5 / (2 m 3). Ano, e pono e hoʻoholo i nā kumumea e ia i ka lalo o nā mea a pau i ka mahele eha. Mai ka mua hapa iki i loko o ka denominator i ka helu "2", laila mea pono e noho i loko o nā mea a pau o ka denominators i loko o ka mahele 7/9 he mau triples, a laila ka mea i pono nā e noho i loko o ka denominator. Ua haawiia ka luna, ke hooholo i ka denominator ninoieo o ekolu kumumea: 3, 2, a me 3 o 3 m 2 m 3 = 18.

1/2 - ka mua pana noonoo. Ma kona denominator i "2", akā,ʻaʻohe mea,ʻaʻole he hookahi huahelu "3", a he pono e elua. E hana i kēia, hoʻonui mākou ma ka denominator o na triples mau, akā, e like me ka waiwai o ka mahele, me ka numerator, a ua pono e hoonui i ka mau triples:
= 1/2 (1 m 3 m 3) / (2 m 3 m 3) = 9/18.

Like me paka hana me ka hapa i koe.

• 2/3 - i loko o ka denominator ua nalowale kekahi o ka ekolu a me kekahi o nā:
  = 2/3 (2 m 3 m 2) / (3 m 3 m 2) = 12/18.
• 7/9 a 7 / (3 m 3) - i loko o ka denominator ua nalowale 'elua:
  7/9 = (7 m 2) / (9 m 2) = 14/18.
• 5/6 a 5 / (2 m 3) - i loko o ka denominator ua nalowale triples:
  5/6 = (5 m 3) / (6 m 3) = 15/18.

A pau i loko o nā mea a pau ia nana e like keia:

Pehea e unuhi, a hui aku i mahele me kekahi mau denominators

E like me ka olelo ma luna, ma ka mea e hana i ka hou 'ole subtraction o ka mahele me ka okoa denominators, ka mea e alakai ana i kekahi mau denominator, a laila, lawe lanakila o na rula o ka unuhi hapa iki me ka ia denominator, i i mua, ua hai aku la ia.

E nana i kekahi laʻana: 4/18 - 3/15.

Mākou i loaʻa mau o 18 a me 15:

• Ka helu 18 Ua haku o 3 m 2 m 3.
• Ka helu 15 Ua la i komo ai o ka 5 m 3.
• Na mau pa, e komo i ka kēia mau kumumea 5 m 3 m 3 m 2 = 90.

I ka wā o ka denominator ua loaʻa, e mea pono e hoʻomaulia i ka multiplier, a e e okoa no kela a me keia mahele, i mea ka helu i e e pono e mahuahua ole wale i ka denominator, akā, i ka numerator. No keia helu, ua loaʻa (e like me ka mau), puunaueia e ka denominator o ka mahele, i mea e pono, e kuhikuhi i ke kumu hou aʻe.

• 90 puunaueia ma 15. Na kūpono helu "6" mea he ololi no 3/15.
• 90 puunaueia ma 18. Na kūpono helu "5" mea he ololi no 4/18.

I kekahi kahua o ko mākou pāʻoihana - hali aku ana i kēlā me kēia hapa iki i ka denominator "90".

Pehea keia ua hana, mākou i olelo ia. E noʻonoʻo pono, e like me ka palapala ma ka Laʻana:

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

Inā i ka mahele me ka uuku nui, he mea hiki e hooholo i ka pono denominator like i loko o ka hana i hoikeia ma ke kiʻi ma lalo nei.

Like me hua a me ka hou o ka hapa iki nona okoa denominators.

Eia hou kekahi a me subtraction o ka mahele me a pau, wahi

Subtraction o ka mahele a me kā lākou hou, ua i kūkākūkā nei i loko o au mamuli. Akā, pehea e hana i kekahi subtraction, ina he mea kekahi hapa o ka mea a pau? Hou, e hana i mau rula:

• All mahele me ka helu hapa, unuhi 'ia i loko o ka hewa. Ma na mea olelo, e lawe aku oe i ka helu 'ana. E hana i kēia, i ka pau helu hapa ua hoonuiia e ka denominator o ka mahele i loaa mai ma ka hoʻokuʻi i ka huina hoonui i ka numerator. I ka helu, a ua loaa ia ma hope o kēia mau hana - ka numerator kūpono hapa. Ka denominator koe ua hoʻololiʻia.
• Inā ka hapa i okoa denominators, oe e lawe mai ia lakou i ka ia.
• Hana i ka hou paha subtraction o ka ia denominators.
• Ma ka loaʻa 'ana o kūpono hapa e līkaia no kekahi hapa o ka a pau.

Aia i kekahi ala ana i oe ke lawe mai hou a me ka subtraction o ka mahele me ka helu wahi. No keia hopena, e lawe hana mai kaawale mai ka pau māhele, a me ka hookaawale ana me ka mahele, a ua kākau pū i ka hopena.

Ka luna kumu ua haku o ka hapa i i ka ia denominator. Ma ka hihia ma ka denominators i okoa, ka mea e alakai ai i ka ia, a me ka hana hou 'ana, e like me ka hoike ana ma ka hana.

Subtraction o ka hapa iki o ka helu

Kekahi o nāʻano likeʻole o ka hana me ka hapa iki o ka hihia ia oe pono e lawe i ka hapa iki o ka helu maoli. Ma mua kilohi ia mea me ka laʻana o ka pilikia, e hoʻonā. Naʻe, ka mea, ke nani meaʻaneʻi. E hoʻoponopono i ka mea pono e unuhi 'ia i loko o ka helu hapa iki me ka denominator i mai nei lakou, ua unuhi i loko o hapa. Eia hua subtraction, subtraction analogous me ka ia denominators. No ka laʻana ka mea, nana e like keia:

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

Hāʻawiʻia i loko o kēia 'atikala subtraction o ka mahele (Papa 6) o ke kumu no ke kākoʻo pāʻoihana a oi luna' ano he kumu hoʻohālike, a i kūkākūkā i ka kēia mau papa. Knowledge o keia kumuhana i hoʻohana hope no ka hoʻoponopono oihana, nā mea loaʻa, a laila, ma luna o. No ia mea, ka mea mea mea nui e maopopo a me ka ike ana me ka mahele, kūkā mai ma luna.