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.

**Sorry this was already answered!

To multiply and simplify the given expression, you need to follow these steps:

Step 1: Multiply the numerators:
8 * (5x + 8y) = 40x + 64y

Step 2: Multiply the denominators:
(15x + 24y) * 10 = 150x + 240y

Now, you have (40x + 64y)/(150x + 240y).

Step 3: Simplify the fraction:
In order to simplify the fraction, look for any common factors in both the numerator and the denominator.

In this case, you can observe that the numerator and denominator both have a common factor of 8. Cancel out the common factor:
(40x + 64y)/(150x + 240y) = (8(5x + 8y))/(8(15x + 24y))

The factors of 8 cancel out, leaving us with:
(5x + 8y)/(15x + 24y)

Therefore, the simplified expression is (5x + 8y)/(15x + 24y).