How do you simplify (4x-12)/(4x)?

Jul 18, 2018

color(maroon)(=> 1 - 3 / x

Explanation:

$\frac{4 x - 12}{4} x$

$\implies \frac{\cancel{4 x}}{\cancel{4 x}} - \frac{12}{4 x}$

$\implies 1 - \frac{\cancel{4} \cdot 3}{\cancel{4} \cdot x}$

color(maroon)(=> 1 - 3 / x

Jul 18, 2018

$1 - \frac{3}{x}$

Explanation:

$4 x - 12 \setminus \to 4 \left(x - 3\right)$

$\setminus \therefore \frac{4 x - 12}{4 x} = \frac{4 \left(x - 3\right)}{4 x} = \left(\setminus \cancel{\frac{4}{4}}\right) \left(\frac{x - 3}{x}\right)$
$= \frac{x - 3}{x} = \frac{x}{x} - \frac{3}{x} = 1 - \frac{3}{x}$