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Hasil dari 83​−42+51​−72​3​1​92​​=...

Pertanyaan

Hasil dari fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 end style minus begin display style fraction numerator 1 over denominator 42 plus begin display style fraction numerator 3 over denominator begin display style 1 fifth end style minus begin display style 2 over 7 end style end fraction end style end fraction end style end fraction equals... 

  1. 115 over 117

  2. 112 over 117

  3. negative 112 over 117

  4. negative 115 over 117

Pembahasan Soal:

Ingat!

  • a over b plus-or-minus c over d equals fraction numerator a plus-or-minus c over denominator b d end fraction
  • fraction numerator begin display style bevelled a over b end style over denominator begin display style bevelled c over d end style end fraction equals a over b cross times d over c equals fraction numerator a d over denominator b c end fraction 

Sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 end style minus begin display style fraction numerator 1 over denominator 42 plus begin display style fraction numerator 3 over denominator begin display style 1 fifth end style minus begin display style 2 over 7 end style end fraction end style end fraction end style end fraction end cell equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 minus fraction numerator 1 over denominator 42 plus begin display style fraction numerator 3 over denominator begin display style fraction numerator 7 minus 10 over denominator 35 end fraction end style end fraction end style end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 minus fraction numerator 1 over denominator 42 plus begin display style fraction numerator 3 over denominator begin display style fraction numerator negative 3 over denominator 35 end fraction end style end fraction end style end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 minus fraction numerator 1 over denominator 42 plus begin display style fraction numerator 3 cross times 35 over denominator begin display style negative 3 end style end fraction end style end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 minus fraction numerator 1 over denominator 42 minus begin display style fraction numerator 105 over denominator begin display style 3 end style end fraction end style end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 minus fraction numerator 1 over denominator begin display style fraction numerator 126 minus 105 over denominator 3 end fraction end style end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 minus fraction numerator 3 over denominator begin display style 21 end style end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 3 over 8 minus fraction numerator 1 over denominator begin display style 7 end style end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style fraction numerator 21 minus 8 over denominator 56 end fraction end style end fraction end cell row blank equals cell fraction numerator begin display style 2 over 9 end style over denominator begin display style 13 over 56 end style end fraction end cell row blank equals cell 2 over 9 cross times 56 over 13 end cell row blank equals cell 112 over 117 end cell end table

Jadi, jawaban yang tepat adalah B

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

I. Sutiawan

Mahasiswa/Alumni Universitas Pasundan

Terakhir diupdate 06 Oktober 2021

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