Evaluate the expression shown below and write your answer as a fraction in simplest form.please and thanks

Answer:
[tex]-3\frac{3}{4}[/tex]
Step-by-step explanation:
[tex]\frac{-\frac{5}{9}}{\frac{1}{6}}-\frac{5}{12}\\[/tex]
[tex]=-\frac{5}{9}*6-\frac{5}{12}\\[/tex]
[tex]=-\frac{10}{3}-\frac{5}{12}[/tex]
[tex]=-\frac{40}{12}-\frac{5}{12}\\[/tex]
[tex]=-\frac{45}{12}[/tex]
[tex]=-\frac{15}{4}[/tex]
[tex]=-3\frac{3}{4}[/tex]