Simplify ((3x)/(2x+5))÷((2x)/(x+5))

$\frac{3 x}{2 x + 5} \div \frac{2 x}{x + 5}$

To divide by a fraction, multiply by its reciprocal.

$\frac{3 x}{2 x + 5} \cdot \frac{x + 5}{2 x}$

Cancel the common factor of $x$ .

Factor $x$ out of $3 x$ .

$\frac{x \cdot 3}{2 x + 5} \cdot \frac{x + 5}{2 x}$

Factor $x$ out of $2 x$ .

$\frac{x \cdot 3}{2 x + 5} \cdot \frac{x + 5}{x \cdot 2}$

Cancel the common factor.

$\frac{x \cdot 3}{2 x + 5} \cdot \frac{x + 5}{x \cdot 2}$

Rewrite the expression.

$\frac{3}{2 x + 5} \cdot \frac{x + 5}{2}$

Multiply $\frac{3}{2 x + 5}$ by $\frac{x + 5}{2}$ .

$\frac{3 (x + 5)}{(2 x + 5) \cdot 2}$

Move $2$ to the left of $2 x + 5$ .

$\frac{3 (x + 5)}{2 (2 x + 5)}$