0:00:00.283,0:00:01.862
Hebu tufanye maswali ya

0:00:01.862,0:00:03.650
kukokotoa milinganyo.

0:00:03.650,0:00:08.421
Tuchukulie tuna mlinganyo huu, 1/3 jumlisha A

0:00:08.421,0:00:10.905
ni sawa na 5/3.

0:00:10.905,0:00:13.924
Je, thamani ya A ni ngapi kwenye mlinganyo?

0:00:13.924,0:00:17.604
Kama nina 1/3 jumlisha A, je A inatakiwa kuwa ngapi

0:00:17.604,0:00:22.604
ili tukiijumlisha kwa 1/3 iwe sawa na 5/3?

0:00:23.873,0:00:27.135
Kuna njia nyingi za kufanya hii,

0:00:27.135,0:00:29.735
na hiki ni kitu cha kufurahisha kuhusu mlinganyo

0:00:29.735,0:00:32.835
na hakuna njia moja ya kukokotoa.

0:00:32.835,0:00:34.831
Hivyo ngoja nifikirie,

0:00:34.831,0:00:36.004
njia nyepesi ya kutumia.

0:00:36.004,0:00:38.105
Na kabla sijafanya chochote, unaweza

0:00:38.105,0:00:40.891
kusubirisha video, na ufanye mwenyewe.

0:00:40.891,0:00:45.891
Hivyo nachotakiwa ni kuwa na A

0:00:46.313,0:00:47.892
upande mmoja wa mlinganyo.

0:00:47.892,0:00:49.536
Kwa kuwa A ipo tayari upande wa kushoto,

0:00:49.536,0:00:51.440
tuone kama nitaweza kuendelea kuiweka upande wa kushoto,

0:00:51.440,0:00:53.831
hivyo naiondoa 1/3.

0:00:53.831,0:00:55.930
Vizuri, njia rahisi ya kuiondoa

0:00:55.930,0:00:59.314
hii 1/3 ni kutoa 1/3 kutoka upande wa

0:00:59.314,0:01:00.757
kushoto wa mlinganyo.

0:01:00.757,0:01:02.661
Siwezi kutoa

0:01:02.661,0:01:04.298
upande wa kushoto wa mlinganyo peke yake.

0:01:04.298,0:01:06.759
Kama 1/3 jumlisha A ni sawa na 5/3,

0:01:06.759,0:01:09.719
na kama nikitoa 1/3 kutoka upande wa kushoto tu,

0:01:09.719,0:01:11.715
hivyo haiwezi kuwa sawa.

0:01:11.715,0:01:13.699
Hivyo upande huu utakuwa pungufu ya 1/3,

0:01:13.699,0:01:15.059
endapo upande huu hautobadilika.

0:01:15.059,0:01:16.800
Hivyo basi upande wa kushoto utakuwa

0:01:16.800,0:01:18.321
pungufu ya 5/3.

0:01:18.321,0:01:20.862
Kwa hiyo ili kupata usawa, nitakachokifanya

0:01:20.862,0:01:23.986
upande wa kushoto nitakifanya upande wa kulia pia.

0:01:23.986,0:01:26.819
Hivyo nitatoa 1/3 pande zote.

0:01:26.819,0:01:30.313
Na kama nikifanya hivyo, upande wa kushoto,

0:01:30.313,0:01:32.391
1/3 toa 1/3, ndiyo maana

0:01:32.391,0:01:35.190
nimetoa 1/3 ili kuondoa 1/3,

0:01:35.190,0:01:40.190
na nimebakiwa na A ni sawa na 5/3 toa 1/3,

0:01:41.829,0:01:46.055
5/3 toa 1/3,

0:01:46.055,0:01:49.762
toa 1/3 , tutapata ngapi?

0:01:49.762,0:01:53.268
Nina tano ya kitu hapa, kwenye hili swali nina 5/3,

0:01:53.268,0:01:55.893
ninatoa kwa 1/3.

0:01:55.893,0:01:58.902
Hivyo nitabakiwa na 4/3.

0:01:58.902,0:02:03.902
Hivyo nitaandika A ni sawa na 4/3.

0:02:05.856,0:02:07.482
Unaweza kuhakikisha kama ni sahihi.

0:02:07.482,0:02:12.482
1/3 jumlisha 4/3 ni sawa na 5/3.

0:02:12.972,0:02:14.853
Hebu tufanye mfano mwingine.

0:02:14.853,0:02:19.853
Tuchukulie tuna mlinganyo huu, K toa nane

0:02:21.240,0:02:24.920
ni sawa na 11.8.

0:02:24.920,0:02:27.522
Kwa mara nyingine, natafuta thamani ya K.

0:02:27.522,0:02:29.437
Nina K upande wa kushoto.

0:02:29.437,0:02:33.477
Sihitaji kuwa na hii, toa nane hapa.

0:02:33.477,0:02:36.011
Hivyo ili kuondoa hii nane, hivyo tuongeze nane

0:02:36.011,0:02:36.795
upande wa kushoto.

0:02:36.795,0:02:38.095
Hivyo, kama nafanya hivi upande wa kushoto,

0:02:38.095,0:02:40.278
nitafanya hivyohivyo upande wa kulia.

0:02:40.278,0:02:42.775
Hivyo tunaongeza nane pande zote.

0:02:42.775,0:02:45.524
Upande wa kushoto, unatoa nane

0:02:45.524,0:02:46.441
na pia unajumlisha nane.

0:02:46.441,0:02:47.615
Hii inaisha,

0:02:47.615,0:02:49.761
na unabakiwa na K.

0:02:49.761,0:02:53.175
Na upande wa kulia, 11.8 jumlisha nane.

0:02:53.175,0:02:58.175
Vizuri, 11 jumlisha nane ni 19, itakuwa 19.8.

0:02:58.758,0:03:01.115
Na tumemaliza,

0:03:01.115,0:03:03.413
Unaweza kuhakikisha kama umepata jibu sahihi.

0:03:03.413,0:03:07.803
19.8 toa nane ni 11.8.

0:03:07.803,0:03:10.542
Hebu tufanye nyingine, hii inavutia.

0:03:10.542,0:03:15.542
Sawa, tuchukulie nina 5/13 ni sawa na

0:03:16.462,0:03:20.259
T toa 6/13.

0:03:20.259,0:03:22.362
Vizuri, hii inavutia kwa sababu sasa nina mtajo

0:03:22.362,0:03:23.878
upande wa kulia.

0:03:23.878,0:03:24.841
Hivyo naiacha hapa.

0:03:24.841,0:03:27.545
Tuone kama tunaweza kutafuta thamani ya T kwa kuondoa

0:03:27.545,0:03:29.263
namba yoyote upande wa kulia.

0:03:29.263,0:03:33.663
Na kama tulivyofanya awali, kama natoa 6/13,

0:03:33.663,0:03:35.602
kwa nini nisiijumlishe?

0:03:35.602,0:03:37.424
Kwa nini nisijumlishe 6/13?

0:03:37.424,0:03:38.776
Siwezi kufanya hivyo upande wa kushoto.

0:03:38.776,0:03:41.110
Hizi pande mbili hazitakuwa sawa,

0:03:41.110,0:03:43.106
nitafanya hivyo upande wa kulia kama ninataka

0:03:43.106,0:03:45.289
kupata usawa.

0:03:45.289,0:03:47.007
Hivyo nini kitatokea?

0:03:47.007,0:03:47.832
Nini kitatokea?

0:03:47.832,0:03:50.466
Upande wa kushoto nina

0:03:50.466,0:03:52.126
ngoja niache nafasi kidogo,

0:03:52.126,0:03:56.615
nina 5/13 jumlisha 6/13,

0:03:57.548,0:04:01.880
jumlisha 6/13 ni sawa na ,

0:04:01.880,0:04:03.702
ni sawa na

0:04:03.702,0:04:06.745
Nilitoa 6/13, sasa najumlisha 6/13.

0:04:06.745,0:04:09.135
Hizi zitatupatia sifuri.

0:04:09.135,0:04:12.943
6/13 toa 6/13 inabaki sifuri, hivyo umebakiwa na T.

0:04:12.943,0:04:14.278
Hivyo T ni sawa na hii.

0:04:14.278,0:04:17.401
Kama nina 5/13 na najumlisha na hii 6/13,

0:04:17.401,0:04:19.304
Nitapata 11/13.

0:04:19.304,0:04:24.018
Hivyo hii itakuwa 11/13 ni sawa na T,

0:04:24.018,0:04:25.319
au naweza kuiandika kwa njia nyingine.

0:04:25.319,0:04:30.319
Naandika T ni sawa na 11/13.