Hey! Could anyone solve this problem for me in a step-by-step explanation? If so, thank you! (ASAP!!)

Answer:
option d
Step-by-step explanation:
[tex]\frac{4}{9}[/tex] ÷ [tex]-\frac{5}{6}[/tex]
take reciprocal of -5/6, [when you take reciprocal, the '÷' sign will become '×' sign]
⇒ [tex]\frac{4}{9}[/tex] × [tex]-\frac{6}{5}[/tex]
⇒ 4 × -6 / 9 × 5
⇒ [tex]-\frac{24}{45}[/tex]
⇒ [tex]-\frac{8}{15}[/tex]
therefore, option d is the correct option