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Hasil dari 262​+61​÷121​×231​ adalah ...

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Hasil dari 2 2 over 6 plus 1 over 6 divided by 1 1 half cross times 2 1 third adalah ...

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

Hasil dari 2 2 over 6 plus 1 over 6 divided by 1 1 half cross times 2 1 third adalah 70 over 27.

Pembahasan

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, perkalian, kemudian penjumlahan sehingga:

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 2 over 6 plus 1 over 6 divided by 1 1 half cross times 2 1 third end cell equals cell fraction numerator open parentheses 6 cross times 2 close parentheses plus 2 over denominator 6 end fraction plus 1 over 6 divided by fraction numerator open parentheses 2 cross times 1 close parentheses plus 1 over denominator 2 end fraction cross times fraction numerator open parentheses 3 cross times 2 close parentheses plus 1 over denominator 3 end fraction end cell row blank equals cell 14 over 6 plus open parentheses 1 over 6 divided by 3 over 2 close parentheses cross times 7 over 3 end cell row blank equals cell 14 over 6 plus open parentheses 1 over 6 cross times 2 over 3 close parentheses cross times 7 over 3 end cell row blank equals cell 14 over 6 plus open parentheses 2 over 18 close parentheses cross times 7 over 3 end cell row blank equals cell 14 over 6 plus open parentheses 2 over 18 cross times 7 over 3 close parentheses end cell row blank equals cell 14 over 6 plus 14 over 54 end cell row blank equals cell fraction numerator 14 cross times 9 over denominator 6 cross times 9 end fraction plus 14 over 54 end cell row blank equals cell 126 over 54 plus 14 over 54 end cell row blank equals cell 140 over 54 end cell row blank equals cell 70 over 27 end cell end table  

Dengan demikian Hasil dari 2 2 over 6 plus 1 over 6 divided by 1 1 half cross times 2 1 third adalah 70 over 27.

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