Answer:
[tex]\frac{3}{14}[/tex]
Step-by-step explanation:
change the mixed number to an improper fraction
4 [tex]\frac{2}{3}[/tex] = [tex]\frac{14}{3}[/tex]
The reciprocal = [tex]\frac{1}{\frac{14}{3} }[/tex] = [tex]\frac{3}{14}[/tex]