Pertanyaan

Perhatikan kartu-kartu pecahan berikut! Kelompokkan pecahan-pecahan yang senilai dari kartu pecahan di atas!

Perhatikan kartu-kartu pecahan berikut!

Kelompokkan pecahan-pecahan yang senilai dari kartu pecahan di atas!

N. Puspita

Master Teacher

Jawaban terverifikasi

Pembahasan

Pertama sederhanakan pecahan-pecahan tersebut terlebih dahulu ke bentuk paling sederhana, dengan membagipenyebut dan pembilangan dengan bilangan yang sama sehingga: Kemudian kelompokkan pecahan-pecahan yang senilai, sehingga diperoleh: Dengan demikian kelompok pecahan yang senilai adalah:

Pertama sederhanakan pecahan-pecahan tersebut terlebih dahulu ke bentuk paling sederhana, dengan membagi penyebut dan pembilangan dengan bilangan yang sama sehingga:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell 5 over 10 end cell equals cell fraction numerator 5 divided by 5 over denominator 10 divided by 5 end fraction equals 1 half end cell row cell 12 over 24 end cell equals cell fraction numerator 12 divided by 12 over denominator 24 divided by 12 end fraction equals 1 half end cell row cell 6 over 9 end cell equals cell fraction numerator 6 divided by 3 over denominator 9 divided by 3 end fraction equals 2 over 3 end cell row cell 9 over 12 end cell equals cell fraction numerator 9 divided by 3 over denominator 12 divided by 3 end fraction equals 3 over 4 end cell row cell 14 over 21 end cell equals cell fraction numerator 14 divided by 7 over denominator 21 divided by 7 end fraction equals 2 over 3 end cell row cell 18 over 24 end cell equals cell fraction numerator 18 divided by 6 over denominator 24 divided by 6 end fraction equals 3 over 4 end cell row cell 15 over 20 end cell equals cell fraction numerator 15 divided by 5 over denominator 20 divided by 5 end fraction equals 3 over 4 end cell row cell 12 over 18 end cell equals cell fraction numerator 12 divided by 6 over denominator 18 divided by 6 end fraction equals 2 over 3 end cell row cell 15 over 30 end cell equals cell fraction numerator 15 divided by 15 over denominator 30 divided by 15 end fraction equals 1 half end cell row cell 2 over 3 end cell equals cell fraction numerator 2 divided by 1 over denominator 3 divided by 1 end fraction equals 2 over 3 end cell row cell 18 over 27 end cell equals cell fraction numerator 18 divided by 9 over denominator 27 divided by 9 end fraction equals 2 over 3 end cell row cell 1 half end cell equals cell fraction numerator 1 divided by 1 over denominator 2 divided by 1 end fraction equals 1 half end cell row cell 12 over 16 end cell equals cell fraction numerator 12 divided by 4 over denominator 16 divided by 4 end fraction equals 3 over 4 end cell row cell 3 over 4 end cell equals cell fraction numerator 3 divided by 1 over denominator 4 divided by 1 end fraction equals 3 over 4 end cell row cell 9 over 18 end cell equals cell fraction numerator 9 divided by 9 over denominator 18 divided by 9 end fraction equals 1 half end cell end table end style$

Kemudian kelompokkan pecahan-pecahan yang senilai, sehingga diperoleh:

Dengan demikian kelompok pecahan yang senilai adalah:

begin mathsize 14px style 1 half comma space 5 over 10 comma space 12 over 24 comma space 15 over 30 comma space 9 over 18 2 over 3 comma space 6 over 9 comma space 14 over 21 comma space 12 over 18 comma space 18 over 27 3 over 4 comma space 9 over 12 comma space 18 over 24 comma space 15 over 20 comma space 12 over 16 end style