Answer
$-\frac{9}{13}$
Work Step by Step
$\frac{\frac{12}{13}}{-\frac{4}{3}}=\frac{12}{13}\times-\frac{3}{4}=\frac{12\times-3}{13\times4}=-\frac{36}{52}$
$-\frac{36}{52}=-\frac{36\div4}{52\div4}=-\frac{9}{13}$
Both numbers being multiplied have different signs, so the resulting product is negative.