$\frac{x}{8}-\frac{y}{12}=\frac{3x-2y}{24}$

$\frac{4a}{7}+\frac{a}{4}=\frac{4a\ast 4+a\ast 7}{28}=\frac{16a+7a}{28}=\frac{23a}{28}$

$\frac{m}{n}-\frac{n}{m}=\frac{m\ast m-n\ast n}{mn}=\frac{m^2-n^2}{mn}$

$\frac{x^2}{2y}+\frac{y}{8x}=\frac{x^2\ast 4x+y\ast y}{8xy}=\frac{4x^3+y^2}{8xy}$

$\frac{7}{cd}+\frac{k}{cp}=\frac{7p+dk}{cdp}$

$\frac{6a}{35c^5}-\frac{9b}{14c^2}=\frac{6a\ast 2-9b\ast 5c^3}{70c^5}=\frac{12a-45b{c}^3}{70c^5}$