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Tunatakiwa kuziandika tena

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sehemu  zifuatazo kama zenye asili ndogo ya shirika.

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Hivyo asili ndogo ya shirika ya sehemu hizi mbili

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itakuwa ni kigawe kidogo cha shirika cha

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hizi asili.

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Na thamani ya kufanya hivyo itakuwa

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kama unaweza kuzifanya hizi kuwa na asili zinazofanana,

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basi unaweza kuzijumlisha hizi sehemu mbili.

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Na tutaiona hii kwenye video nyingine.

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Lakini kwanza, tutafute kigawe kidogo cha shirika.

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Nitaiandika kwa sababu wakati mwingine  KDS

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inaweza maanisha kitu kingine.

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Hivyo asili ndogo ya shirika ya sehemu hizi

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itakuwa kitu kile kile kama kigawe kidogo cha shirika

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cha hizi asili mbili hapa.

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Kigawe cha kidogo cha shirika cha 8 na 6.

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Kuna njia nyingi za kutafuta kigawe cha shirika--

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unaweza kuchukua vigawe vya 8 na 6

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na kuangalia kigawe kidogo kabisa ni kipi.

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Tuanze na njia hii sasa.

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Hivyo vigawe vya 6 ni, 12, 18, 24, 30.

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Na tungeendelea kama bado tusingepata kigawo kidogo

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katika kundi hili . Hivi ni vigawe vya 8.

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Navyo ni 8, 16, 24,

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na inaonekana tumeshamaliza.

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Na tungeendelea mpaka 32,

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na kuendelea.

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Ila nimekwishapata kigawe  ambacho

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ndio kigodo kabisa.

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Kuna vigawe vingine vya shirika kama --48 na 72,

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na tunaweza endelea kuongeza zaidi na zaidi.

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Ila hiki ndicho kigawe kidogo kabisa cha shirika,

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kigawe kidogo kabisa.

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Ni 24.

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Njia nyingine  ya kutafuta kigawe kidogo cha shirika

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kama ukichukua vigawo tasa vya 6

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na ukasema hivi ni 2 na 3.

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Hivyo kigawe kidogo kabisa kitakuwa  1, 2, na 1, 3

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kwenye vigawo tasa ili

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viweze kugawanyika kwa 6.

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Na ungejiuliza, vigawe tasa vya 8 ni vipi?

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ni 2 mara 4, na vya 4 ni 2 mara 2.

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Hivyo ili viweze kugawanyika kwa 8,

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angalau uwe na 2 mbili kwenye vigawo tasa.

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Ili vigawanyike kwa 6, inabidi uwe na 2 mara 3.

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Halafu ili vigawanyike kwa 8, inabidi uwe na

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2 mbili.

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Unatakliwa uwe na mbili uizidishe kwa yenyewe mara 3

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naweza kusema hivyo.

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Haya tuna mbili ya kwanza hapa.

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Kisha tuna 2 nyingine na 2 nyingine.

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Hivyo sehemu hii hapa inagawanyika kwa 8.

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Na hii sehemu hapa inaifanya igawanyike kwa 6.

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Nikichukua 2 mara 2 mara 2 mara 3, itanipa jibu 24.

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Hivyo kigawe kidogo cha shirika cha 8  na 6,

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ambacho pia kina asili sawa cha hizi

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sehemu mbili kitakuwa 24.

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Tunachotaka kufanya ni kuziandika upya sehemu zifuatazo

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na 24 kama asili.

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Nitaanza na 2 juu ya 8.

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Na ninataka kuiandika kama kitu juu ya 24.

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Kupata asili iwe 24,

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inabidi kuizidisha kwa 3.

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8 mara 3 ni 24.

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Na kama hatutaki kubadili

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thamani ya sehemu, tunazidisha

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asili na kiasi kwa namba ile ile.

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Sasa tuzidishe kiasi kwa 3 pia.

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2 mara 3 ni 6.

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Hivyo 2/8 ni sawa na 6/24.

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Ili kuielewa vizuri,

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unaweza kusema, kama nina 2/8 na nikiizidisha  mara 3

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juu ya 3, itanipa 6/24.

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Na hizi ni sehemu sawa kwa sababu 3 juu ya 3

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maana yake ni 1.

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Moja nzima..

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Hivyo 2/8 ni 6/24, hebu tufanye hivi kwa 5/6.

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Hivyo 5 juu ya 6 ni sawa na kitu juu ya 24.

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Nitaifanya kwa kutumia rangi nyingine.

80
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Rangi ya bluu.

81
00:04:07,430 --> 00:04:09,590
Kitu fulani juu ya 24.

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Kupata asili toka kwenye 6 mpaka 24,

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tunazidisha kwa 4.

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Hivyo kama hatutaki kubadili thamani ya 5/6,

85
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tunazidisha kiasi na asili

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kuwa namba ile ile..

87
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Hebu tuzidishe kiasi mara 4.

88
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5 mara 4 ni 20.

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5/6 ni sawa na 20/24.

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Tumemaliza.

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Tumeandika 2/8 kama 6/24 na tumeandika 5/6 kama 20/24.

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Kama tukitaka kuzijumlisha, tunajumlisha

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6/24 na 20/24.

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Nitaishia hapa kwa sababu hatujaambiwa

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kufanya hivyo.