Answer:
[tex]\frac{27}{16}[/tex]Step-by-step explanation:
Conversion of the mixed numbers to fraction:
[tex]4\frac{1}{2}=\frac{4\ast2+1}{2}=\frac{8+1}{2}=\frac{9}{2}[/tex][tex]2\frac{2}{3}=\frac{2\ast3+2}{3}=\frac{6+2}{3}=\frac{8}{3}[/tex]Division:
We multiply the numerator by the inverse of the denominator. So
[tex]\frac{\frac{9}{2}}{\frac{8}{3}}=\frac{9}{2}\ast\frac{3}{8}=\frac{9\ast3}{2\ast8}=\frac{27}{16}[/tex]