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1) $\frac{4 a^{2} }{6ac} = \frac{2a}{3c}$
2) $\frac{56 m^{2} n^{5} }{35m n^{5} } = \frac{8m}{5} = 1,6m$
3) $\frac{ 8^{16} }{ 16^{12} } = \frac{ ( 2^{3}) ^{16} }{ (2^{4} )^{12} } = \frac{ 2^{48} }{ 2^{48} } = 1$
4) $\frac{9 c^{2} - 4 d^{2} }{18 c^{2}d - 12c d^{2} } = \frac{(3c-2d)(3c+2d)}{6cd(3c-2d)} = \frac{3x+2d}{6cd} = \frac{3c}{6cd} + \frac{2d}{6cd} = \frac{1}{2d}+ \frac{1}{3c}$
$\frac{1}{2* \frac{1}{2} } + \frac{1}{3* \frac{2}{3} } = 1 + 0,5 = 1,5$
5) $\frac{7y-13}{10y} - \frac{2y+3}{10y} = \frac{7y-13-2y-3}{10y} = \frac{5y-16}{10y} = \frac{5y}{10y}- \frac{16}{10y} = 0,5- 1\frac{3}{5y}$