Simplify ((x-4)/(x-3))÷((x-4)/(2x-1))

$\frac{x - 4}{x - 3} \div \frac{x - 4}{2 x - 1}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{x - 4}{x - 3} \cdot \frac{2 x - 1}{x - 4}$

Step 2

Cancel the common factor of $x - 4$ .

Cancel the common factor.

$\frac{x - 4}{x - 3} \cdot \frac{2 x - 1}{x - 4}$

Rewrite the expression.

$\frac{1}{x - 3} (2 x - 1)$

Step 3

Multiply $\frac{1}{x - 3}$ by $2 x - 1$ .

$\frac{2 x - 1}{x - 3}$