Let's take the first part, which is: [tex]\frac{15x^5}{24y^8}[/tex]
Cancel the common factor, which is 3.
[tex]=\frac{5x^5}{8y^8}[/tex]
Let's take the second part: [tex]\frac{4x\cdot \:2}{8y^4}[/tex]
Multiply the numerator...
[tex]=\frac{8x}{8y^4}[/tex]
Divide the numbers..
[tex]=\frac{x}{y^4}[/tex]
Our answer would be: [tex]=\frac{5x^5}{8y^8}+\frac{x}{y^4}[/tex]
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish