Edwin C

09 Oktober 2023 23:32

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Edwin C

09 Oktober 2023 23:32

Pertanyaan

Tentukan hasil operasi campuran pada pecahan-pecahan berikut ini ! 1 1/10 - (2/3 + 5/6)

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P. Vidya

Mahasiswa/Alumni Universitas Negeri Malang

21 Desember 2023 08:27

Jawaban terverifikasi

<p>Jawab: 1 4/15</p><p>Pembahasan:</p><p>Ingat!</p><p>a b/c = ((a×c)+b)/c</p><p>Perhatikan bahwa:</p><p>1 1/10 = ((1x10)+1)/10</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 11/10</p><p>Sehingga,</p><p>1 1/10 - (2/3 + 5/6) = 11/10-((2x6)/18 -(5x3)/18)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 11/10 - ((12-15)/18)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 11/10 - (-3/18)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 11/10 -(-1/6)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 11/10 + 1/6</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 33/30 + 5/30&nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 38/30</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 19/15</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 1 4/15</p><p>&nbsp;</p><p><strong><u>Jadi, jawaban yang benar adalah 1 4/15.</u></strong></p>

Jawab: 1 4/15

Pembahasan:

Ingat!

a b/c = ((a×c)+b)/c

Perhatikan bahwa:

1 1/10 = ((1x10)+1)/10

              = 11/10

Sehingga,

1 1/10 - (2/3 + 5/6) = 11/10-((2x6)/18 -(5x3)/18)

                                      = 11/10 - ((12-15)/18)

                                      = 11/10 - (-3/18)

                                      = 11/10 -(-1/6)

                                      = 11/10 + 1/6

                                      = 33/30 + 5/30 

                                      = 38/30

                                      = 19/15

                                      = 1 4/15

 

Jadi, jawaban yang benar adalah 1 4/15.


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