Pertanyaan :

Tentukan hasil pembagian pecahan pecahan berikut ini!

$\frac{m}{m-5}: \frac{3m}{m+4}\\ \frac{m}{m-5}. \frac{m+4}{3m}\\= \frac{m+4}{3(m-5)}$

$\frac{4m+12}{6}: \frac{2}{m+3}\\= \frac{4(m+3)}{6}. \frac{m+3}{2}\\= \frac{(m+3)^2}{3}\\= \frac{m^2+6m+9}{3}$

$\frac{5}{m^2-3m}: \frac{10}{m-3}\\= \frac{5}{m(m-3)}. \frac{m-3}{10}\\= \frac{1}{2m}$

$\frac{x^2-49}{x}: \frac{x+7}{2x}\\= \frac{(x+7)(x-7)}{x}. \frac{2x}{x+7}\\=2(x-7)\\=2x-14$

$\frac{x^2+x-12}{8x}: \frac{x-3}{4x}\\= \frac{(x+4)(x-3)}{8x}. \frac{4x}{x-3}\\= \frac{x+4}{2}$

$\frac{4x^2+12x}{x^2-8x+12}: \frac{x+3}{x-2}\\= \frac{4x(x+3)}{(x-6)(x-2)}. \frac{x-2}{x+3}\\= \frac{4x}{x-6}$

$\frac{x^2-25}{x^2-2x-48}: \frac{x-5}{x+6}\\= \frac{(x-5)(x+5)}{(x+6)(x-8)}. \frac{x+6}{x-5}\\= \frac{x+5}{x-8}$

Semangat!