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Pertanyaan

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14 over 16 cross times 12 over 15 cross times 3 2 over 6 equals horizontal ellipsis

Pembahasan Soal:

Untuk dapat melakukan perkalian antara pecahan biasa dengan pecahan campuran, kita perlu mengubah pecahan campuran menjadi pecahan biasa terlebih dahulu.

Perhatikan bahwa

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 2 over 6 end cell equals cell fraction numerator 6 cross times 3 plus 2 over denominator 6 end fraction end cell row blank equals cell fraction numerator 18 plus 2 over denominator 6 end fraction end cell row blank equals cell 20 over 6 end cell end table

Akibatnya

table attributes columnalign right center left columnspacing 0px end attributes row cell 14 over 16 cross times 12 over 15 cross times 3 2 over 6 end cell equals cell 14 over 16 cross times up diagonal strike 12 squared over 15 cross times 20 over up diagonal strike 6 to the power of 1 end cell row blank equals cell 14 over up diagonal strike 16 to the power of 4 cross times 2 over 15 cross times up diagonal strike 20 to the power of 5 over 1 end cell row blank equals cell 14 over 4 cross times 2 over up diagonal strike 15 cubed cross times up diagonal strike 5 to the power of 1 over 1 end cell row blank equals cell 14 over up diagonal strike 4 squared cross times up diagonal strike 2 to the power of 1 over 3 cross times 1 end cell row blank equals cell up diagonal strike 14 to the power of 7 over up diagonal strike 2 to the power of 1 cross times 1 third cross times 1 end cell row blank equals cell 7 over 3 end cell row blank equals cell 2 1 third end cell end table

Jadi, 14 over 16 cross times 12 over 15 cross times 3 2 over 6 equals 2 1 third.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

A. Acfreelance

Terakhir diupdate 01 Mei 2021

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Pertanyaan yang serupa

Hasil

Pembahasan Soal:

Hasil dari operasi pembagian dan perkalian pecahan campuran tersebut adalah sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 over 5 colon 1 2 over 7 colon 16 over 21 cross times 2 1 half end cell row blank equals cell 4 over 5 colon 9 over 7 colon 16 over 21 cross times 5 over 2 end cell row blank equals cell 4 over 5 cross times 7 over 9 colon 40 over 21 end cell row blank equals cell 28 over 45 cross times 21 over 40 end cell row blank equals cell fraction numerator 588 over denominator 1.800 end fraction end cell row blank equals cell 49 over 150 end cell end table end style

Jadi, hasilnya adalah 49 over 150.

Dengan demikian, jawaban yang tepat adalah D.

Roboguru

Kerjakan soal-soal berikut ini!

Pembahasan Soal:

Untuk dapat melakukan perkalian antara pecahan campuran dengan pecahan campuran, kita perlu mengubah pecahan campuran menjadi pecahan biasa terlebih dahulu.

Perhatikan bahwa

table attributes columnalign right center left columnspacing 0px end attributes row cell 4 4 over 14 end cell equals cell fraction numerator 14 cross times 4 plus 4 over denominator 14 end fraction end cell row blank equals cell fraction numerator 56 plus 4 over denominator 14 end fraction end cell row blank equals cell 60 over 14 end cell end table

lalu

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 11 over 12 end cell equals cell fraction numerator 12 cross times 2 plus 11 over denominator 12 end fraction end cell row blank equals cell fraction numerator 24 plus 11 over denominator 12 end fraction end cell row blank equals cell 35 over 12 end cell end table

dan

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 3 over 7 end cell equals cell fraction numerator 7 cross times 3 plus 3 over denominator 7 end fraction end cell row blank equals cell fraction numerator 21 plus 3 over denominator 7 end fraction end cell row blank equals cell 24 over 7 end cell end table

Akibatnya

table attributes columnalign right center left columnspacing 0px end attributes row cell 4 4 over 14 cross times 2 11 over 12 cross times 3 3 over 7 end cell equals cell up diagonal strike 60 to the power of 5 over 14 cross times 35 over up diagonal strike 12 to the power of 1 cross times 24 over 7 end cell row blank equals cell 5 over up diagonal strike 14 squared cross times up diagonal strike 35 to the power of 5 over 1 cross times 24 over 7 end cell row blank equals cell 5 over up diagonal strike 2 to the power of 1 cross times 5 over 1 cross times up diagonal strike 24 to the power of 12 over 7 end cell row blank equals cell 300 over 7 end cell row blank equals cell 42 6 over 7 end cell end table

Jadi, 4 4 over 14 cross times 2 11 over 12 cross times 3 3 over 7 equals 42 6 over 7.

Roboguru

Kerjakan soal-soal berikut ini!

Pembahasan Soal:

Untuk dapat melakukan perkalian antara pecahan campuran dengan pecahan campuran, kita perlu mengubah pecahan campuran menjadi pecahan biasa terlebih dahulu.

Perhatikan bahwa

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 2 over 15 end cell equals cell fraction numerator 15 cross times 2 plus 2 over denominator 15 end fraction end cell row blank equals cell fraction numerator 30 plus 2 over denominator 15 end fraction end cell row blank equals cell 32 over 15 end cell end table

lalu

table attributes columnalign right center left columnspacing 0px end attributes row cell 8 4 over 7 end cell equals cell fraction numerator 7 cross times 8 plus 4 over denominator 7 end fraction end cell row blank equals cell fraction numerator 56 plus 4 over denominator 7 end fraction end cell row blank equals cell 60 over 7 end cell end table

dan

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 15 over 25 end cell equals cell fraction numerator 25 cross times 3 plus 15 over denominator 25 end fraction end cell row blank equals cell fraction numerator 75 plus 15 over denominator 25 end fraction end cell row blank equals cell 90 over 25 end cell end table

Akibatnya

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 2 over 15 cross times 8 4 over 7 cross times 3 15 over 25 end cell equals cell 32 over up diagonal strike 15 to the power of 1 cross times 60 over 7 cross times up diagonal strike 90 to the power of 6 over 25 end cell row blank equals cell 32 over 1 cross times up diagonal strike 60 to the power of 12 over 7 cross times 6 over up diagonal strike 25 to the power of 5 end cell row blank equals cell fraction numerator 2.304 over denominator 35 end fraction end cell row blank equals cell 65 29 over 35 end cell end table

Jadi, 5 over 12 cross times 3 2 over 8 cross times 1 1 third equals 65 29 over 35.

Roboguru

...

Pembahasan Soal:

Ubahlah pecahan campuran ke pecahan biasa kemudikan kalikan:

table attributes columnalign right center left columnspacing 0px end attributes row cell 8 over 15 cross times 2 1 fourth end cell equals cell 8 over 15 cross times 9 over 4 end cell row blank equals cell fraction numerator 8 cross times 9 over denominator 15 cross times 4 end fraction end cell row blank equals cell 72 over 60 end cell row blank equals cell 6 over 5 end cell end table

Dengan demikian dipeorleh table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 8 over 15 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cross times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 fourth end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 6 over 5 end cell end table.

Roboguru

Kerjakan soal-soal berikut ini!

Pembahasan Soal:

Untuk dapat melakukan perkalian antara pecahan biasa dengan pecahan campuran, kita perlu mengubah pecahan campuran menjadi pecahan biasa terlebih dahulu.

Perhatikan bahwa

table attributes columnalign right center left columnspacing 0px end attributes row cell 3 1 over 6 end cell equals cell fraction numerator 6 cross times 3 plus 1 over denominator 6 end fraction end cell row blank equals cell fraction numerator 18 plus 1 over denominator 6 end fraction end cell row blank equals cell 19 over 6 end cell end table

dan

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 2 over 3 end cell equals cell fraction numerator 3 cross times 2 plus 2 over denominator 3 end fraction end cell row blank equals cell fraction numerator 6 plus 2 over denominator 3 end fraction end cell row blank equals cell 8 over 3 end cell end table

Akibatnya

table attributes columnalign right center left columnspacing 0px end attributes row cell 4 over 6 cross times 3 1 over 6 cross times 2 2 over 3 end cell equals cell up diagonal strike 4 squared over up diagonal strike 6 cubed cross times 19 over 6 cross times 8 over 3 end cell row blank equals cell up diagonal strike 2 to the power of 1 over 3 cross times 19 over up diagonal strike 6 cubed cross times 8 over 3 end cell row blank equals cell 152 over 27 end cell row blank equals cell 5 17 over 27 end cell end table

Jadi, 4 over 6 cross times 3 1 over 6 cross times 2 2 over 3 equals 5 17 over 27.

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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