How do you simplify (x^2+6x-7)/(3x^2)div(x+7)/(6x)?

May 9, 2017

$\frac{2 x - 2}{x}$

Explanation:

$\frac{{x}^{2} + 6 x - 7}{3 {x}^{2}} \div \frac{x + 7}{6 x}$

$\frac{\left(x - 1\right) \cancel{\left(x + 7\right)}}{3 {x}^{2}} \times \frac{6 x}{\cancel{\left(x + 7\right)}}$

$\frac{6 x \left(x - 1\right)}{3 {x}^{2}}$

$\frac{2 \times \cancel{3} \times \cancel{x} \left(x - 1\right)}{\cancel{3} \times \cancel{x} \times x}$

$\frac{2 x - 2}{x}$