Multiply and simplify. Assume any factors you cancel are not zero.

8/(15x+24y) times (5x+8y)/10 = ??

I multiplied straight across and got (45x+64y)/(150x+240y) but then I wasn't sure where to go from there.

2 answers

8/(15x+24y) * (5x+8y)/10 =
8/3(5x+8y) * (5x+8y)/10 = 8/3 * 1/10 =
8/30 = 4/15.
Thank you!