1
00:00:00,283 --> 00:00:01,862
Hebu tufanye maswali ya

2
00:00:01,862 --> 00:00:03,650
kukokotoa milinganyo.

3
00:00:03,650 --> 00:00:08,421
Tuchukulie tuna mlinganyo huu, 1/3 jumlisha A

4
00:00:08,421 --> 00:00:10,905
ni sawa na 5/3.

5
00:00:10,905 --> 00:00:13,924
Je, thamani ya A ni ngapi kwenye mlinganyo?

6
00:00:13,924 --> 00:00:17,604
Kama nina 1/3 jumlisha A, je A inatakiwa kuwa ngapi

7
00:00:17,604 --> 00:00:22,604
ili tukiijumlisha kwa 1/3 iwe sawa na 5/3?

8
00:00:23,873 --> 00:00:27,135
Kuna njia nyingi za kufanya hii,

9
00:00:27,135 --> 00:00:29,735
na hiki ni kitu cha kufurahisha kuhusu mlinganyo

10
00:00:29,735 --> 00:00:32,835
na hakuna njia moja ya kukokotoa.

11
00:00:32,835 --> 00:00:34,831
Hivyo ngoja nifikirie,

12
00:00:34,831 --> 00:00:36,004
njia nyepesi ya kutumia.

13
00:00:36,004 --> 00:00:38,105
Na kabla sijafanya chochote, unaweza

14
00:00:38,105 --> 00:00:40,891
kusubirisha video, na ufanye mwenyewe.

15
00:00:40,891 --> 00:00:45,891
Hivyo nachotakiwa ni kuwa na A

16
00:00:46,313 --> 00:00:47,892
upande mmoja wa mlinganyo.

17
00:00:47,892 --> 00:00:49,536
Kwa kuwa A ipo tayari upande wa kushoto,

18
00:00:49,536 --> 00:00:51,440
tuone kama nitaweza kuendelea kuiweka upande wa kushoto,

19
00:00:51,440 --> 00:00:53,831
hivyo naiondoa 1/3.

20
00:00:53,831 --> 00:00:55,930
Vizuri, njia rahisi ya kuiondoa

21
00:00:55,930 --> 00:00:59,314
hii 1/3 ni kutoa 1/3 kutoka upande wa

22
00:00:59,314 --> 00:01:00,757
kushoto wa mlinganyo.

23
00:01:00,757 --> 00:01:02,661
Siwezi kutoa

24
00:01:02,661 --> 00:01:04,298
upande wa kushoto wa mlinganyo peke yake.

25
00:01:04,298 --> 00:01:06,759
Kama 1/3 jumlisha A ni sawa na 5/3,

26
00:01:06,759 --> 00:01:09,719
na kama nikitoa 1/3 kutoka upande wa kushoto tu,

27
00:01:09,719 --> 00:01:11,715
hivyo haiwezi kuwa sawa.

28
00:01:11,715 --> 00:01:13,699
Hivyo upande huu utakuwa pungufu ya 1/3,

29
00:01:13,699 --> 00:01:15,059
endapo upande huu hautobadilika.

30
00:01:15,059 --> 00:01:16,800
Hivyo basi upande wa kushoto utakuwa

31
00:01:16,800 --> 00:01:18,321
pungufu ya 5/3.

32
00:01:18,321 --> 00:01:20,862
Kwa hiyo ili kupata usawa, nitakachokifanya

33
00:01:20,862 --> 00:01:23,986
upande wa kushoto nitakifanya upande wa kulia pia.

34
00:01:23,986 --> 00:01:26,819
Hivyo nitatoa 1/3 pande zote.

35
00:01:26,819 --> 00:01:30,313
Na kama nikifanya hivyo, upande wa kushoto,

36
00:01:30,313 --> 00:01:32,391
1/3 toa 1/3, ndiyo maana

37
00:01:32,391 --> 00:01:35,190
nimetoa 1/3 ili kuondoa 1/3,

38
00:01:35,190 --> 00:01:40,190
na nimebakiwa na A ni sawa na 5/3 toa 1/3,

39
00:01:41,829 --> 00:01:46,055
5/3 toa 1/3,

40
00:01:46,055 --> 00:01:49,762
toa 1/3 , tutapata ngapi?

41
00:01:49,762 --> 00:01:53,268
Nina tano ya kitu hapa, kwenye hili swali nina 5/3,

42
00:01:53,268 --> 00:01:55,893
ninatoa kwa 1/3.

43
00:01:55,893 --> 00:01:58,902
Hivyo nitabakiwa na 4/3.

44
00:01:58,902 --> 00:02:03,902
Hivyo nitaandika A ni sawa na 4/3.

45
00:02:05,856 --> 00:02:07,482
Unaweza kuhakikisha kama ni sahihi.

46
00:02:07,482 --> 00:02:12,482
1/3 jumlisha 4/3 ni sawa na 5/3.

47
00:02:12,972 --> 00:02:14,853
Hebu tufanye mfano mwingine.

48
00:02:14,853 --> 00:02:19,853
Tuchukulie tuna mlinganyo huu, K toa nane

49
00:02:21,240 --> 00:02:24,920
ni sawa na 11.8.

50
00:02:24,920 --> 00:02:27,522
Kwa mara nyingine, natafuta thamani ya K.

51
00:02:27,522 --> 00:02:29,437
Nina K upande wa kushoto.

52
00:02:29,437 --> 00:02:33,477
Sihitaji kuwa na hii, toa nane hapa.

53
00:02:33,477 --> 00:02:36,011
Hivyo ili kuondoa hii nane, hivyo tuongeze nane

54
00:02:36,011 --> 00:02:36,795
upande wa kushoto.

55
00:02:36,795 --> 00:02:38,095
Hivyo, kama nafanya hivi upande wa kushoto,

56
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nitafanya hivyohivyo upande wa kulia.

57
00:02:40,278 --> 00:02:42,775
Hivyo tunaongeza nane pande zote.

58
00:02:42,775 --> 00:02:45,524
Upande wa kushoto, unatoa nane

59
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na pia unajumlisha nane.

60
00:02:46,441 --> 00:02:47,615
Hii inaisha,

61
00:02:47,615 --> 00:02:49,761
na unabakiwa na K.

62
00:02:49,761 --> 00:02:53,175
Na upande wa kulia, 11.8 jumlisha nane.

63
00:02:53,175 --> 00:02:58,175
Vizuri, 11 jumlisha nane ni 19, itakuwa 19.8.

64
00:02:58,758 --> 00:03:01,115
Na tumemaliza,

65
00:03:01,115 --> 00:03:03,413
Unaweza kuhakikisha kama umepata jibu sahihi.

66
00:03:03,413 --> 00:03:07,803
19.8 toa nane ni 11.8.

67
00:03:07,803 --> 00:03:10,542
Hebu tufanye nyingine, hii inavutia.

68
00:03:10,542 --> 00:03:15,542
Sawa, tuchukulie nina 5/13 ni sawa na

69
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T toa 6/13.

70
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Vizuri, hii inavutia kwa sababu sasa nina mtajo

71
00:03:22,362 --> 00:03:23,878
upande wa kulia.

72
00:03:23,878 --> 00:03:24,841
Hivyo naiacha hapa.

73
00:03:24,841 --> 00:03:27,545
Tuone kama tunaweza kutafuta thamani ya T kwa kuondoa

74
00:03:27,545 --> 00:03:29,263
namba yoyote upande wa kulia.

75
00:03:29,263 --> 00:03:33,663
Na kama tulivyofanya awali, kama natoa 6/13,

76
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kwa nini nisiijumlishe?

77
00:03:35,602 --> 00:03:37,424
Kwa nini nisijumlishe 6/13?

78
00:03:37,424 --> 00:03:38,776
Siwezi kufanya hivyo upande wa kushoto.

79
00:03:38,776 --> 00:03:41,110
Hizi pande mbili hazitakuwa sawa,

80
00:03:41,110 --> 00:03:43,106
nitafanya hivyo upande wa kulia kama ninataka

81
00:03:43,106 --> 00:03:45,289
kupata usawa.

82
00:03:45,289 --> 00:03:47,007
Hivyo nini kitatokea?

83
00:03:47,007 --> 00:03:47,832
Nini kitatokea?

84
00:03:47,832 --> 00:03:50,466
Upande wa kushoto nina

85
00:03:50,466 --> 00:03:52,126
ngoja niache nafasi kidogo,

86
00:03:52,126 --> 00:03:56,615
nina 5/13 jumlisha 6/13,

87
00:03:57,548 --> 00:04:01,880
jumlisha 6/13 ni sawa na ,

88
00:04:01,880 --> 00:04:03,702
ni sawa na

89
00:04:03,702 --> 00:04:06,745
Nilitoa 6/13, sasa najumlisha 6/13.

90
00:04:06,745 --> 00:04:09,135
Hizi zitatupatia sifuri.

91
00:04:09,135 --> 00:04:12,943
6/13 toa 6/13 inabaki sifuri, hivyo umebakiwa na T.

92
00:04:12,943 --> 00:04:14,278
Hivyo T ni sawa na hii.

93
00:04:14,278 --> 00:04:17,401
Kama nina 5/13 na najumlisha na hii 6/13,

94
00:04:17,401 --> 00:04:19,304
Nitapata 11/13.

95
00:04:19,304 --> 00:04:24,018
Hivyo hii itakuwa 11/13 ni sawa na T,

96
00:04:24,018 --> 00:04:25,319
au naweza kuiandika kwa njia nyingine.

97
00:04:25,319 --> 00:04:30,319
Naandika T ni sawa na 11/13.