6. Сократить дроби: 1) 15a²x/(25ab); 2) m²c(a−2)²/(mc²(a−2)); 3) (4x+12)/16; 4) (m−3p)/(m²−9p²).

1. \(\frac{15a^2x}{25ab}=\frac{3ax}{5b}\).
2. \(\frac{m^2c(a-2)^2}{mc^2(a-2)}=\frac{m(a-2)}{c}\).
3. \(\frac{4x+12}{16}=\frac{4(x+3)}{16}=\frac{x+3}{4}\).
4. \(\frac{m-3p}{m^2-9p^2}=\frac{m-3p}{(m-3p)(m+3p)}=\frac{1}{m+3p}\).

Ответ: 1) \(\frac{3ax}{5b}\); 2) \(\frac{m(a-2)}{c}\); 3) \(\frac{x+3}{4}\); 4) \(\frac{1}{m+3p}\).