#### Answer

$\frac{1}{12}$

#### Work Step by Step

$-\frac{3}{4}\div(-9)$
=$\frac{3}{4}\div(9)$ Remove the negative sign
=$\frac{3}{4}\times(\frac{1}{9})$ Convert division into multiplication by flipping the numerator and denominator of the divisor
=$\frac{1}{4}\times(\frac{1}{3})$ Cancel the common multiples
=$\frac{1}{4\times3}$ Combine and multiply the two fractions
=$\frac{1}{12}$