The expression is given as
[tex]\begin{gathered} 8\text{ +}\frac{2}{3}k\text{ - }\frac{4}{15}k\text{ - }\frac{1}{4} \\ \text{First, find the common denominator} \\ \text{The common denominator is 60} \\ 60\frac{8}{1}\text{ + 60 x }\frac{2}{3}k\text{ - 60}\frac{4}{15}k\text{ - 60}\frac{1}{4\text{ }}\text{ / 60} \\ \frac{60\text{ x 8 + 20 x 2k - 4 x 4k - 15 x 1}}{60} \\ \frac{480\text{ + 40k - 16k - 15}}{60} \\ \text{Collect the like terms} \\ \frac{480\text{ - 15 + 40k - 16k}}{60} \\ \frac{465\text{ - 24k}}{60} \end{gathered}[/tex]