$$1) \frac{12mn^{2}p}{15m^{2}np^{2}}$$
$$2) \frac{46x^{3}y^{4}z^{5}}{69x^{2}y^{3}z^{4}}$$
$$3) \frac{ax}{a^{2}x^{2}-ax}$$
$$4) \frac{3a^{2}-6ab}{2a^{2}b-4ab^{2}}$$
$$5) \frac{abx+bx^{2}}{acx+cx^{2}}$$
$$6) \frac{15a^{2}b^{2}c}{100(a^{3}-ab^{2}b)}$$
$$7) \frac{4x^{2}-9y^{2}}{4x^{2}+6xy}$$
$$8) \frac{20(x^{3}-y^{3})}{5x^{2}+5xy+5y^{2}}$$
$$9) \frac{x(2a^{2}-3ax)}{a\left(4a^{2}x-9x^{3}\right)}$$
$$10) \frac{x^{3}-2xy^{2}}{x^{4}-4x^{2}y^{2}+4y^{4}}$$