Evaluate and simplify the following complex fraction
Answer:
[tex]\frac{24}{5}[/tex]
Step-by-step explanation:
To evaluate division of fractions, that is
[tex]\frac{9}{-5}[/tex] ÷ [tex]\frac{-3}{8}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down
[tex]\frac{9}{-5}[/tex] × [tex]\frac{8}{-3}[/tex] ( cancel the 9 and 3) giving
[tex]\frac{3}{-5}[/tex] × [tex]\frac{8}{-1}[/tex]
= [tex]\frac{3(8)}{-5(-1)}[/tex] = [tex]\frac{24}{5}[/tex]