Jawaban:
pecahan
nomor ( 1 )
[tex] \frac{7}{8} + \frac{5}{6} = \frac{6(7) + 8(5)}{8(6)} \\ \frac{42 + 40}{48} = \frac{82}{48} = \frac{41}{24} = \red{1 \frac{17}{24}} [/tex]
nomor ( 2 )
[tex] \frac{5}{6} + \frac{4}{5} = \frac{5(5) + 6(4)}{6(5)} \\ \frac{25 + 24}{30} = \frac{49}{30} = \blue{1 \frac{19}{30}}[/tex]
KPK dari 8 dan 6:
8 = 8, 16, 24, 32, 40
6 = 6, 12, 18, 24, 30
KPK dari 6 dan 5:
5 = 5, 10, 15, 20, 25, 30
___________________________________________
[tex]{\sf{1.) \: \frac{7}{8} \: + \: \frac{5}{6} }}[/tex]
[tex]{\sf{ = \: \frac{(24 \: \div \: 8) \: \times \: 7 \: + \: (24 \: \div \: 6) \: \times \: 5}{24} }}[/tex]
[tex]{\sf{ = \: \frac{(3 \: \times \: 7) \: + \: (4 \: \times \: 5)}{24 } }}[/tex]
[tex]{\sf{ = \: \frac{21 \: + \: 20}{24} }}[/tex]
[tex]{\bf{ = \: \frac{41}{24} }}[/tex]
[tex]\boxed{\sf{{ \bf{ = \: \boxed{\sf{{ \bf{ 1 \: \frac{17}{24} }}}}}}}}[/tex]
_______________________________________________________
[tex]{\sf{2.) \: \frac{5}{6} \: + \: \frac{4}{5} }}[/tex]
[tex]{\sf{ = \: \frac{(30 \: \div \: 6) \: \times \: 5 \: + \: (30 \: \div \: 5) \: \times \: 4}{30} }}[/tex]
[tex]{\sf{ = \: \frac{(5\: \times \: 5) \: + \: (6 \: \times \: 4)}{30} }}[/tex]
[tex]{\sf{ = \: \frac{25\: + \: 24}{30} }}[/tex]
[tex]{\bf{ = \: \frac{49}{30} }}[/tex]
[tex]\boxed{\sf{{ \bf{ = \: \boxed{\sf{{ \bf{ 1 \: \frac{19}{30} }}}}}}}}[/tex]
____________________________________________
Mapel : Matematika
Kelas : V
Materi : Bab 5 - Pecahan
Kata Kunci : Pecahan biasa
Kode soal : 2
Kode Kategorisasi : 5.2.5
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Jawaban:
pecahan
nomor ( 1 )
[tex] \frac{7}{8} + \frac{5}{6} = \frac{6(7) + 8(5)}{8(6)} \\ \frac{42 + 40}{48} = \frac{82}{48} = \frac{41}{24} = \red{1 \frac{17}{24}} [/tex]
nomor ( 2 )
[tex] \frac{5}{6} + \frac{4}{5} = \frac{5(5) + 6(4)}{6(5)} \\ \frac{25 + 24}{30} = \frac{49}{30} = \blue{1 \frac{19}{30}}[/tex]
Verified answer
KPK dari 8 dan 6:
8 = 8, 16, 24, 32, 40
6 = 6, 12, 18, 24, 30
KPK dari 6 dan 5:
6 = 6, 12, 18, 24, 30
5 = 5, 10, 15, 20, 25, 30
___________________________________________
[tex]{\sf{1.) \: \frac{7}{8} \: + \: \frac{5}{6} }}[/tex]
[tex]{\sf{ = \: \frac{(24 \: \div \: 8) \: \times \: 7 \: + \: (24 \: \div \: 6) \: \times \: 5}{24} }}[/tex]
[tex]{\sf{ = \: \frac{(3 \: \times \: 7) \: + \: (4 \: \times \: 5)}{24 } }}[/tex]
[tex]{\sf{ = \: \frac{21 \: + \: 20}{24} }}[/tex]
[tex]{\bf{ = \: \frac{41}{24} }}[/tex]
[tex]\boxed{\sf{{ \bf{ = \: \boxed{\sf{{ \bf{ 1 \: \frac{17}{24} }}}}}}}}[/tex]
_______________________________________________________
[tex]{\sf{2.) \: \frac{5}{6} \: + \: \frac{4}{5} }}[/tex]
[tex]{\sf{ = \: \frac{(30 \: \div \: 6) \: \times \: 5 \: + \: (30 \: \div \: 5) \: \times \: 4}{30} }}[/tex]
[tex]{\sf{ = \: \frac{(5\: \times \: 5) \: + \: (6 \: \times \: 4)}{30} }}[/tex]
[tex]{\sf{ = \: \frac{25\: + \: 24}{30} }}[/tex]
[tex]{\bf{ = \: \frac{49}{30} }}[/tex]
[tex]\boxed{\sf{{ \bf{ = \: \boxed{\sf{{ \bf{ 1 \: \frac{19}{30} }}}}}}}}[/tex]
____________________________________________
Mapel : Matematika
Kelas : V
Materi : Bab 5 - Pecahan
Kata Kunci : Pecahan biasa
Kode soal : 2
Kode Kategorisasi : 5.2.5