Question

Efetue a divisão:
(5/6x²-3/4x):(-2/3x)

Answer 1

$\frac{ \frac{5}{6} {x}^{2} - \frac{3}{4}x }{ - \frac{2}{3}x } \\ \\ \frac{x( \frac{5}{6}x - \frac{3}{4}) }{ - \frac{2}{3}x } \\ \\ \frac{ \frac{5x}{6} - \frac{3}{4} }{ - \frac{2}{3} } \\ \\ \frac{ \frac{10x}{12} - \frac{9}{12} }{ - \frac{2}{3} } \\ \\ \frac{ \frac{10x - 9}{12} }{ \frac{ - 2}{3} } \\ \\ \frac{3(10x - 9)}{ - 2 \times 12} \\ \\ - \frac{30x - 27}{24} \\ \\ - \frac{10x-9}{8}$