Question

Помогите пожалуйста сократить дроби

Answer 1

а)

$\frac{9m^{2}}{12m} =\frac{3m}{4}$

б)

$\frac{15y^{3}x^{4}}{20y^{2}x^{5}} =\frac{3y}{4x}$

в)

$\frac{12a^{3}b^{2}c}{48a^{5}b^{3}c} =\frac{1}{4a^{2}b}$

г)

$\frac{5a+10b}{5a} =\frac{5(a+2b)}{5a} =\frac{a+2b}{a}$

д)

$\frac{12m+48n}{48n} =\frac{12(m+4n)}{48n} =\frac{m+4n}{4n}$

е)

$\frac{x^{2}-8x+16}{5x-20} =\frac{(x-4)^{2}}{5(x-4)} =\frac{x-4}{5}$

ж)

$\frac{9y^{2}-18y}{y^{2}-4}=\frac{9y(y-2)}{(y-2)(y+2)} =\frac{9y}{y+2}$

з)

$\frac{y^{2}+10y+25}{y^{2}-25} =\frac{(y+5)^{2}}{(y-5)(y+5)} =\frac{y+5}{y-5}$

и)

$\frac{a-10}{a^{2}-20a+100} =\frac{a-10}{(a-10)^{2}} =\frac{1}{a-10}$

к)

$\frac{81y^{2}-1}{9y+1}=\frac{(9y-1)(9y+1)}{9y+1}=9y-1$