9
Explanation:
[tex]4\frac{4}{5}\div\frac{8}{15}[/tex]we convert the division to multiplication by multiplying the 4 4/5 by the inverse of 8/15:
inverse of 8/15 = 15/8
[tex]\begin{gathered} 4\frac{4}{5}\times\frac{15}{8} \\ \text{convert }4\frac{4}{5}\text{ to improper fraction} \\ \frac{24}{5}\times\frac{15}{8} \end{gathered}[/tex][tex]\begin{gathered} \frac{24}{5}\times\frac{15}{8}\text{ = }\frac{3\times3}{1} \\ =9 \end{gathered}[/tex]