How do you simplify (8/x+11)/(1/(6x)-1)?

Jul 8, 2017

$\frac{6 \left(8 + 11 x\right)}{\left(1 - 6 x\right)}$

Explanation:

$\frac{\frac{8}{x} + 11}{\frac{1}{6 x} - 1}$

$\therefore = \frac{\frac{8}{x} + \frac{11}{1}}{\frac{1}{6 x} - \frac{1}{1}}$

$\therefore = \frac{\frac{\frac{8 + 11 x}{x}}{1 - 6 x}}{6 x}$

$\therefore = \frac{8 + 11 x}{\cancel{x}} ^ 1 \times \frac{6 {\cancel{x}}^{1}}{1 - 6 x}$

$\therefore = \frac{6 \left(8 + 11 x\right)}{1 - 6 x}$