Latihan soal 4b3a×2ab25b=...

Pertanyaan

Latihan soal

$begin mathsize 14px style fraction numerator 3 a over denominator 4 b end fraction cross times fraction numerator 5 b over denominator 2 a b squared end fraction equals... end style$

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Jawaban

$begin mathsize 14px style fraction numerator 3 a over denominator 4 b end fraction cross times fraction numerator 5 b over denominator 2 a b squared end fraction equals fraction numerator 15 over denominator 8 b squared end fraction end style$ .

Pembahasan

Operasi perkalian pecahan bentuk aljabar sama seperti perkalian pecahan biasa, yaitu pembilang dikalikan dengan pembilang dan penyebut dikalikan dengan penyebut.

Maka diperoleh:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 3 a over denominator 4 b end fraction cross times fraction numerator 5 b over denominator 2 a b squared end fraction end cell equals cell fraction numerator 3 a cross times 5 b over denominator 4 b cross times 2 a b squared end fraction end cell row blank equals cell fraction numerator 15 a b over denominator 8 a b cubed end fraction end cell row blank equals cell fraction numerator 15 times up diagonal strike a b end strike over denominator 8 times up diagonal strike a b end strike times b squared end fraction end cell row blank equals cell fraction numerator 15 over denominator 8 b squared end fraction end cell end table end style$

Jadi, $begin mathsize 14px style fraction numerator 3 a over denominator 4 b end fraction cross times fraction numerator 5 b over denominator 2 a b squared end fraction equals fraction numerator 15 over denominator 8 b squared end fraction end style$ .