Wochotsera wa tuzigawo twa ndi denominators osiyana. Kuwonjezera ndi wochotsera wa tuzigawo twa

Mmodzi wa sayansi zofunika, ntchito zomwe angathe kuona amalanga monga zimapangidwira, sayansi, ndi ngakhale zamoyo, masamu ndi. Kuphunzira sayansi amatilola kukhala ndi makhalidwe maganizo, kusintha maganizo umboni ndi mphamvu kumvetsera. Mmodzi wa mitu ofunika mwapadera mu maphunzirowa "Masamu" - Kuwonjezera ndi wochotsera wa ting'onoting'ono. Ophunzira ambiri kuphunzira izo zimayambitsa mavuto. Mwina nkhani adzakuthandizani kumvetsa bwino nkhani imeneyi.

Kodi tuzigawo twa amene denominators ali yemweyo kuchotsera

Kuwombera - ndi nambalayi, zomwe zingabweretse zosiyanasiyana zochita. Amasiyana integers ndi pamaso pa chimene chachititsa lapansi. Ichi ndi chifukwa chake akuchita ntchito ndi tuzigawo twa tifunika kuziyesa ena mbali ndi malamulo. Nkhani losavuta ndi wochotsera wa tuzigawo twa amene denominators amakhala ngati nambala yomweyo. Kuchita zimenezi sikudzakhala kovuta ngati mukudziwa ulamuliro losavuta:

• Pofuna deduct kukamphindi wina, m'pofunika ku numerator wa kachigawo popanda kucheperachepera kuchotsera pa numerator wa kachigawo deductible. nambala iyi ndi mbiri ya kusiyana kwa numerator ndi chimene chachititsa za phunziro lomwelo: K / mamita - b / mamita = (KB) / m.

Zitsanzo Kuchotsera tuzigawo twa amene denominators ali yemweyo

Tiyeni tiwone momwe icho chikuwonekera chitsanzo:

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

Popanda kwachepetsa numerator wa nusu la "7" kuchotsera pa numerator wa kachigawo deductible "3", timapeza "4". nambala iyi ife kulemba mu numerator ya yankho, ndi kuika mu chimene chachititsa ndi nambala yemweyo amene anali mu denominators wa tuzigawo twa loyamba ndi lachiwiri - "19".

Chithunzi m'munsimu limasonyeza zitsanzo zochepa kwambiri.

Tiyeni tikambirane chitsanzo zovuta kwambiri, amene amapangidwa wochotsera wa tuzigawo twa ndi chimene chachititsa yemweyo:

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

Popanda kwachepetsa numerator wa kachigawo "29" ndi Kuchotsera ndi numerators nayenso tuzigawo twa onse wotsatira - "3", "8", "2", "7". Chifukwa cha zimenezi, tipeze chifukwa cha "9", chimene chidalembedwa mu numerator ya yankho, ndi kulemba chimene chachititsa ndi chiwerengero umene uli chimene chachititsa wa tuzigawo twa zonsezi - "47".

Kuwonjezera tuzigawo twa ndi chimene chachititsa yemweyo

Kuwonjezera ndi wochotsera wa tuzigawo twa ikuchitika pa mfundo yomweyo.

• Kuti pindani tuzigawo twa amene denominators ndinu yemweyo, muyenera kuwonjezera pa numerators. Nambala - Uwerenge numerator ndi chimene chachititsa sizinasinthe: K / mamita + b / mamita = (k + b) / m.

Tiyeni tiwone momwe icho chikuwonekera chitsanzo:

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

Pakuti numerator wa Mauwa wa nusu - "1" - kuwonjezera numerator wa tuzigawo twa chachiwiri akuti -. "2" Zotsatira - "3" - mbiri ndalama mu numerator ndi chimene chachititsa wa malo ndi chimodzimodzi ngati kuti analipo mu tuzigawo twa -. "4"

Tuzigawo twa ndi denominators osiyana ndi wochotsera

Action ndi tuzigawo twa kuti ndi chimene chachititsa chomwecho, Takambirana kale. Monga mukuonera, podziwa malamulo osavuta kuthetsa zitsanzo mosavuta. Koma bwanji ngati mukufuna kuchita chinthu ndi tuzigawo twa kuti ndi denominators osiyana? Ambiri ophunzira sekondale sukulu kubwera kwa amavutika kuti zitsanzo zimenezi. Koma apa, ngati inu mukudziwa mfundo zomwe mungathetsere mavutowo, zitsanzo sadzakhalanso pa inu movutikira. Apa kwambiri pali ulamuliro, popanda zomwe njira za tuzigawo twa ngati sangathe.

• Kupanga wochotsera wa tuzigawo twa ndi denominators osiyana, bweresani kwa chomwecho chimene chachititsa wotsikitsitsa wamba.

Kuti mudziwe kuchita zimenezo, ife kulankhula.

tuzigawo twa katundu

Tizigawo angapo zimalambira chimene chachititsa chomwecho, kuti ntchito pothetsa chuma chofunika kwambiri tuzigawo twa: pambuyo kugawa kapena kuchulukitsa ndi numerator ndi chimene chachititsa ndi nambala imodzi falitsani wofanana izi.

Mwachitsanzo, kachigawo 2/3 akhoza kukhala denominators monga "6", "9", "12" ndipo T. D., I.e. zingatenge mawonekedwe a nambala iliyonse angapo a "3". Pambuyo numerator ndi chimene chachititsa, ife kuchulukitsa ndi "2", iwe kachigawo 4/6. Pambuyo numerator ndi chimene chachititsa wa kachigawo ife kuchulukitsa gwero kwa "3", timapeza 6/9, ndipo ngati kuchita chimodzimodzi kubala ndi nambala "4" ife titenga 8/12. akhoza analembedwa aone kuti pali umodzi motere:

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

Kodi kufotokoza ndi tuzigawo twa angapo chimene chachititsa yemweyo

Taganizirani mmene kubweretsa tuzigawo twa angapo ku chimene chachititsa chomwecho. Mwachitsanzo, kutenga tuzigawo twa tikuonera chithunzi m'munsimu. Choyamba tiyenera kudziwa mmene ambiri akhoza kukhala chimene chachititsa kuti onse a iwo. Kuti magawowa kukuza alipo denominators factoring.

The chimene chachititsa wa kachigawo 1/2, ndipo 2/3 sangathe linakwiriridwa Tiyenera. 7/9 chimene chachititsa ali awiri chinthu 7/9 = 7 / (3 × 3), ndi chimene chachititsa wa kachigawo 5/6 = 5 / (2 × 3). Tsopano muyenera kudziwa mfundo ziti adzakhala otsika wa tuzigawo twa zonse zinayi. Popeza kachigawo yoyamba chimene chachititsa ali chiwerengero "2", ndiye kuti alipo denominators onse kachigawo 7/9 ali umaŵirikiza nthaŵi zitatu awiri, ndiye akuyeneranso onse kupezeka mu chimene chachititsa lapansi. Popeza pamwamba, tingadziwe kuti chimene chachititsa tichipeza zinthu zitatu: 3, 2 ndi 3 ndi 3 × 2 × 3 = 18.

Taganizirani mpirawo choyamba - 1/2. Mu chimene chachititsa ake ali "2", koma palibe manambala umodzi "3" Ndipo payenera kukhala awiri. Kuchita izi, ife kuchulukitsa ndi chimene chachititsa wa umaŵirikiza nthaŵi zitatu awiri, koma, malinga ndi chuma cha nusu, ndi numerator ndipo tiyenera kuchulukitsa ndi umaŵirikiza nthaŵi zitatu awiri:
= 1/2 (1 × 3 × 3) / (2 × 3 × 3) = 9/18.

Mofananamo kubala kanthu ndi tuzigawo twa otsala.

• 2/3 - mu chimene chachititsa palibe mmodzi wa zitatu ndi ziwiri:
  = 2/3 (2 × 3 × 2) / (3 × 3 × 2) = 12/18.
• 7/9 kapena 7 / (3 × 3) - mu chimene chachititsa ndi akusowa awiriawiri:
  7/9 = (7 × 2) / (9 × 2) = 14/18.
• 5/6 kapena 5 / (2 × 3) - mu chimene chachititsa ndi akusowa umaŵirikiza nthaŵi zitatu:
  5/6 = (5 × 3) / (6 × 3) = 15/18.

Zonse mu zonse izo zikuwoneka ngati izi:

Kodi kuchotsera ndipo kuwonjezera tuzigawo twa ndi denominators osiyana

Monga tanena kuti agwire Kuwonjezera kapena wochotsera wa tuzigawo twa ndi denominators osiyana, iwo ayenera kukhala ndi chimodzi chimene, ndiyeno nkutenga ntchito malamulo a Kuchotsera tuzigawo twa ndi chimene chachititsa yemweyo, amene kale anauza.

Tayang'anani pa chitsanzo: 4/18 - 3/15.

Ife tikupeza angapo pa 18 ndi 15:

• chiwerengero 18 wapangidwa ndi 3 × 2 × 3.
• chiwerengero 15 kumaphatikizapo 5 × 3.
• Khola ambiri mudzangokhala cha zinthu zotsatirazi 5 × 3 × 3 × 2 = 90.

Pamene chimene chachititsa chipezeka, m'pofunika kuwerengera multiplier, amene adzakhala chosiyana aliyense nusu, kuti chiwerengero kuti zidzakhala zofunikira kuchulukitsa osati chimene chachititsa, koma numerator. Kuti nambala iyi ife tikupeza (wamba angapo), anagawa ndi chimene chachititsa wa nusu, ndilo zothandiza kupeza zinthu zina.

• 90 akufufuta 15. Chiwerengero chifukwa "6" ndi yofunika 3/15.
• 90 akufufuta 18. Chiwerengero chifukwa "5" ndi yofunika 4/18.

Siteji yotsatira njira yathu - kubweretsa wina kachigawo ku chimene chachititsa "90".

Kodi zimenezi, tinawalalikira. Taganizirani olembedwa chitsanzo:

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

Ngati kachigawo ndi manambala yaing'ono, n'zotheka kudziwa chimodzi chimene monga mwa chitsanzo tikuonera chithunzi m'munsimu.

Mofananamo opangidwa ndi Kuwonjezera tuzigawo twa ndi denominators osiyana.

Kuwonjezera ndi wochotsera wa tuzigawo twa ndi mbali lonse

Wochotsera wa tuzigawo twa ndi Kuwonjezera awo, Takambirana kale mwatsatanetsatane. Koma kupanga wochotsera, ngati pali timene lonse? Kachiwiri, ntchito malamulo ochepa:

• tuzigawo twa onse ndi gawo inteja kumasuliridwa mu molakwika. Mu mawu osavuta, kuchotsa inteja gawo. Kuti tichite zimenezi, lonse chiwerengero gawo ndi kuchulukitsa ndi chimene chachititsa wa kachigawo analandira powonjezera mankhwala kuti numerator lapansi. nambala kuti, amene analandira pambuyo zimenezi - ndi numerator zosayenera ting'onoting'ono. The chimene chachititsa amakhalabe sichinasinthe.
• Ngati tuzigawo twa ndi denominators osiyana, muziwabweretsa kwa chomwecho.
• Zochita Kuwonjezera kapena wochotsera wa denominators chomwecho.
• Pa chiphaso cha tuzigawo twa zosayenera kuonetsetsa mbali ya lonse.

Pali njira inanso imene mukhoza kugwira Kuwonjezera ndi wochotsera wa tuzigawo twa ndi mbali inteja. Kuti zimenezi zitheke, zochita akutsatiridwa padera kuchokera kumadera lonse, ndi ntchito zosiyana ndi tuzigawo twa, ndipo zotsatira zinalembedwa pamodzi.

Chitsanzo pamwamba wapangidwa ndi tuzigawo twa kuti ndi chimene chachititsa chomwecho. Ngati kumene denominators osiyana, iwo ayenera kuyamba kuchita chomwecho, ndi kuchita zochita zina, monga tikuonera chitsanzo.

Wochotsera wa tuzigawo twa a inteja ndi

Wina wa ntchito zosiyanasiyana ndi tuzigawo twa zili choncho pamene muyenera nusu ya nambala achilengedwe. Koyamba zikuwoneka ngati chitsanzo cha zovuta kuthetsa. Komabe, ndi lokongola yosavuta pano. Kuti athetse ziyenera kumasuliridwa mu inteja kachigawo ndi chimene chachititsa pokhala kuti pali subtracted mu ting'onoting'ono. Komanso zokolola wochotsera, wochotsera analogous ndi denominators chomwecho. Mwachitsanzo izo zikuwoneka ngati izi:

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

Popeza mu wochotsera ichi chopangidwa tuzigawo twa (kalasi 6) ndi maziko njira zitsanzo zambiri zovuta kumvetsa zomwe zafotokozedwa makalasi zotsatirazi. Chidziwitso cha nkhaniyi ntchito ina kwa kuthetsa ntchito, ena ofanana ndi zina zotero. Choncho ndikofunika kumvetsetsa ndi kumvetsa ntchito ndi tuzigawo twa, kukambirana pamwamba.