Pertanyaan

Hasil dari 8 3 − 42 + 5 1 − 7 2 3 1 9 2 = ...

Hasil dari $\frac{\frac{2}{9}}{\frac{3}{8} - \frac{1}{42 + \frac{3}{\frac{1}{5} - \frac{2}{7}}}} = ...$

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I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B

Pembahasan

Ingat! Sehingga: Jadi, jawaban yang tepat adalah B

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