Question

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Answer 1

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) $frac{7y-13}{10y} - frac{2y+3}{10y} = frac{7y-13-2y-3}{10y} = frac{5y-16}{10y} = frac{5y}{10y}- frac{16}{10y} = 0,5- 1frac{3}{5y}$