Simplify ((x+3)/9)/((x+12)/6)

$\frac{\frac{x + 3}{9}}{\frac{x + 12}{6}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{x + 3}{9} \cdot \frac{6}{x + 12}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $9$ .

$\frac{x + 3}{3 (3)} \cdot \frac{6}{x + 12}$

Factor $3$ out of $6$ .

$\frac{x + 3}{3 \cdot 3} \cdot \frac{3 \cdot 2}{x + 12}$

Cancel the common factor.

$\frac{x + 3}{3 \cdot 3} \cdot \frac{3 \cdot 2}{x + 12}$

Rewrite the expression.

$\frac{x + 3}{3} \cdot \frac{2}{x + 12}$

Step 3

Multiply $\frac{x + 3}{3}$ by $\frac{2}{x + 12}$ .

$\frac{(x + 3) \cdot 2}{3 (x + 12)}$

Step 4

Move $2$ to the left of $x + 3$ .

$\frac{2 (x + 3)}{3 (x + 12)}$