When we divide mixed numbers we need to first convert it from mixed fractions to improper ones and then we divide them. When we divide fractions a common guideline is to conserve the first fraction and multiply it by the inverse of the second one. With this in mind let's solve the problem.
[tex]\begin{gathered} (2+\frac{2}{3})\colon(4+\frac{1}{4}) \\ (\frac{6}{3}+\frac{2}{3})\colon(\frac{16}{4}+\frac{1}{4}) \\ \frac{8}{3}\colon\frac{17}{4} \\ \frac{8}{3}\cdot\frac{4}{17} \\ \frac{32}{51} \end{gathered}[/tex]
The answer to this division is 32/51
