Simplifying complex fractions

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Type 1: $\frac{single\;fraction}{single\;fraction}$ $singlefractionsinglefraction$
simplify:
i) $\frac{\frac{2}{3}}{\frac{8}{9}}$ $\frac{\frac{2}{3}}{\frac{8}{9}}$
ii) $\frac{\frac{12x^5y^3}{3x^2}}{\frac{2xy^7}{y^2}}$ $\frac{\frac{12 x ^{5} y ^{3}}{3 x ^{2}}}{\frac{2 x y ^{7}}{y ^{2}}}$
iii) $\frac{\frac{5x-10}{5}}{\frac{x-2}{x}}$ $\frac{\frac{5 x - 10}{5}}{\frac{x - 2}{x}}$
Type 2: $\frac{multiple\;fraction}{multiple\;fraction}$ $multiplefractionmultiplefraction$
simplify:
i) $\frac{\frac{x^2}{y^3}-\frac{1}{y}}{\frac{y^2}{x^3}-\frac{1}{x}}$ $\frac{\frac{x ^{2}}{y ^{3}} - \frac{1}{y}}{\frac{y ^{2}}{x ^{3}} - \frac{1}{x}}$
ii) $\frac{1-\frac{4}{z}+\frac{4}{z^2}}{\frac{1}{z^2}-\frac{2}{z^3}}$ $\frac{1 - \frac{4}{z} + \frac{4}{z ^{2}}}{\frac{1}{z ^{2}} - \frac{2}{z ^{3}}}$
Fractions Involving Negative Exponents
Simplify:
i) $\frac{x^{-1}-3x^{-2}}{3x^{-1}-9x^{-2}}$ $\frac{x ^{- 1} - 3 x ^{- 2}}{3 x ^{- 1} - 9 x ^{- 2}}$
ii) $(x^{-2}-y^{-2})^{-1}$ $(x^{- 2} - y^{- 2})^{- 1}$