Simplify ((2x+1)/x)/((4-x)/x)

$\frac{\frac{2 x + 1}{x}}{\frac{4 - x}{x}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{2 x + 1}{x} \cdot \frac{x}{4 - x}$

Cancel the common factor of $x$ .

Cancel the common factor.

$\frac{2 x + 1}{x} \cdot \frac{x}{4 - x}$

Rewrite the expression.

$(2 x + 1) \frac{1}{4 - x}$

Multiply $2 x + 1$ by $\frac{1}{4 - x}$ .

$\frac{2 x + 1}{4 - x}$