WEBVTT

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Nina piza nzima hapa, na tuchukulie

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kwamba ninatakiwa niikate kwenye vipande viwili vilivyo sawa.

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Naikata hapa vipande viwili vilivyo sawa.

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Na tuseme nimekula moja ya vipande 2 sawa.

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Tuchukulie nimekula sehemu hii hapa.

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Je, ni sehemu gani ya piza niliyokula?

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Nimechukua nzima na kuigawanya

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vipande viwili vilivyo sawa, kisha nikala moja ya vipande hivyo.

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Hivyo nilikula nusu ya piza.

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Hebu tuchukulie kwamba, badala ya kukata piza kwenye

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vipande 2 sawa, tuchukulie

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kwamba tumeikata kwenye vipande 4 vilivyosawa.

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Hebu tuchore.

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Kwa hiyo vipande 4 vilivyo sawa.

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Kwa hiyo nitakata mara moja namna hii na kisha,

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nitakata mara moja kama hivi.

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Hivyo nina vipande 4 vilivyo sawa.

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Lakini ninataka kula kiasi kilekile cha piza.

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Je, nitakula vipande vingapi kati ya hivi vipande 4 sawa?

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Ninakushauri usimamishe video na kufikiria.

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Nitakula kula kipande hiki.

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Chukulia nitakula kipande hiki na kipande hiki

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hapa.

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Nimekula sehemu ileile ya piza.

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Kila moja ya vipande hivi imekatwa katika sehemu mbili

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nilipokata piza namna hii.

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Hivyo natakiwa nile vipande 2 kati ya 4,

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tofauti na kipande 1 kati ya 2.

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Kwa hiyo nimekula vipande 2 kati ya 4

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Natumia namba tofauti hapa.

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Hapa natumia 1 kwenye kiasi

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na 2 kwenye asili.

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Hapa, natumia 2 kwenye kiasi

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na 4 kwenye asili.

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Hizi sehemu mbili zinawakilisha kitu kile kile.

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Nimekula kiasi kilekile cha piza.

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Kama nimekula 2/4 ya piza, kama nimekula vipande 2 kati ya 4,

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hiyo ni sehemu ileile ya piza

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kama nimekula kipande 1 kati ya 2.

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Kwa hiyo tunaweza kusema hizi mbili

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ni sehemu sawa.

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Hebu tufanye mfano mwingine.

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Badala ya kugawanya katika vipande 4 vilivyo sawa,

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hebu nigawanye katika vipande 8 vilivyo sawa.

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Kwa hiyo sasa tutakata mara moja kama hivi.

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Sasa tuna vipande viwili vilivyo sawa.

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Kata mara moja kama hivi.

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Sasa tuna vipande vinne vilivyo sawa.

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Halafu gawanya kila moja ya hivyo vipande 4 kuwa vipande 2.

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Kwa hiyo kata--

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Nataka kupata vipande sawa.

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Hivyo havionekani sawa kama ninavyotaka

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Hivyo vinaonekana sawa.

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Hivyo nina vipande vingapi vilivyosawa?

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Nina vipande 8 sawa.

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Tuchukulie ninataka kula sehemu ileile ya piza.

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Kwa hiyo nitakula vipande vyote hivi hapa.

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Vipande vingapi kati ya hivyo vipande sawa 8 nimekula?

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Nimekula 1, 2, 3, 4 ya vipande sawa 8.

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Kwa mara nyingine, sehemu hii, 4 ya 8 au 4/8,

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ni sawa 2/4, ambayo ni sawa na 1/2.

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Na unaweza kuona mpangilio hapa.

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Kutoka kwenye umbo hili kwenda kwenye umbo hili,

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ninapata mara mbili ya vipande sawa.

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Kwa sababu nina mara mbili ya vipande sawa

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Ninatakiwa kula mara mbili ya idadi ya viapnde.

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Kwa hiyo nazidisha asili kwa 2,

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na nazidisha kiasi kwa mbili

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Kama nikizidisha kiasi na asili

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kawa namba ileile, sibadilishi

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kinachowakiliswa na sehemu.

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Na unaweza kuona hapa.

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Kutoka vipande 4 kwenda vipande 8, nimekata kila kipande,

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nimebadilisha kila kipande kuwa vipande viwili

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kwa hiyo nina mara mbili ya vipande.

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Na nikitaka kula kiasi kile kile,

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ninatakiwa kula mara mbili ya vipande.

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Kwa hiyo zote hizi 1/2, 2/4, 4/8 na ninaweza kuendelea.

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Ninaweza kufanya 8/16.

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Ninaweza kufanya 16/32.

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Zote hizi zitakuwa sehemu sawa.

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