## Algebra: A Combined Approach (4th Edition)

$\dfrac{4x+12}{8x^{2}+24x}=\dfrac{1}{2x}$
$\dfrac{4x+12}{8x^{2}+24x}$ Take out common factor $4$ from the numerator and common factor $8x$ from the denominator. Then, simplify: $\dfrac{4x+12}{8x^{2}+24x}=\dfrac{4(x+3)}{8x(x+3)}=\dfrac{4}{8x}=\dfrac{1}{2x}$