Answer
$\dfrac{3x^{2}+7x+2}{3x^{2}+13x+4}=\dfrac{x+2}{x+4}$
Work Step by Step
$\dfrac{3x^{2}+7x+2}{3x^{2}+13x+4}$
Factor the numerator:
$\dfrac{3x^{2}+7x+2}{3x^{2}+13x+4}=\dfrac{(x+2)(3x+1)}{3x^{2}+13x+4}=...$
Factor the denominator and then, simplify:
$...=\dfrac{(x+2)(3x+1)}{(x+4)(3x+1)}=\dfrac{x+2}{x+4}$