Pertanyaan

Hasil dari 3 2 + 1 4 3 − 2 2 1 ÷ 3 3 1 adalah ...

Hasil dari $\frac{2}{3} + 1 \frac{3}{4} - 2 \frac{1}{2} \div 3 \frac{1}{3}$ adalah ...

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S. Amamah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari 2 over 3 plus 1 3 over 4 minus 2 1 half divided by 3 1 third

adalah

Pembahasan

Ingat konsep operasi pecahan: Ubahlah pecahan campuran ke pecahan biasa kemudian dahulukan operasi pembagian sehingga: Dengan demikian hasil dari adalah .

Ingat konsep operasi pecahan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell a over b plus-or-minus c over b end cell equals cell fraction numerator a plus-or-minus c over denominator b end fraction end cell row cell a over b divided by c over d end cell equals cell a over b cross times d over c end cell row cell a over b cross times d over c end cell equals cell fraction numerator a d over denominator b c end fraction end cell row cell a b over c end cell equals cell fraction numerator open parentheses a c close parentheses plus b over denominator c end fraction end cell end table$

Ubahlah pecahan campuran ke pecahan biasa kemudian dahulukan operasi pembagian sehingga:

$begin mathsize 12px style table attributes columnalign right center left columnspacing 0px end attributes row cell 2 over 3 plus 1 3 over 4 minus 2 1 half divided by 3 1 third end cell equals cell 2 over 3 plus fraction numerator open parentheses 4 cross times 1 close parentheses plus 3 over denominator 4 end fraction minus fraction numerator open parentheses 2 cross times 2 close parentheses plus 1 over denominator 2 end fraction divided by fraction numerator open parentheses 3 cross times 3 close parentheses plus 1 over denominator 3 end fraction end cell row blank equals cell 2 over 3 plus 7 over 4 minus open parentheses 5 over 2 divided by 10 over 3 close parentheses end cell row blank equals cell 2 over 3 plus 7 over 4 minus open parentheses 5 over 2 cross times 3 over 10 close parentheses end cell row blank equals cell 2 over 3 plus 7 over 4 minus open parentheses 1 half cross times 3 over 2 close parentheses end cell row blank equals cell 2 over 3 plus 7 over 4 minus 3 over 4 end cell row blank equals cell fraction numerator 2 cross times 4 over denominator 3 cross times 4 end fraction plus fraction numerator 7 cross times 3 over denominator 4 cross times 3 end fraction minus fraction numerator 3 cross times 3 over denominator 4 cross times 3 end fraction end cell row blank equals cell 8 over 12 plus 21 over 12 minus 9 over 12 end cell row blank equals cell 20 over 12 end cell row blank equals cell 5 over 3 end cell end table end style$

Dengan demikian hasil dari 2 over 3 plus 1 3 over 4 minus 2 1 half divided by 3 1 third adalah 5 over 3 .