Answer:
We know that the product of two rational numbers is -9/16 and one of them is -4/15. We can set up the equation using the product of the numbers:
(-4/15) * x = -9/16
To solve for x, we can cross-multiply and simplify:
-4/15 * x = -9/16
-4 * x = -9 * 15/16
x = (-9 * 15) / (-4 * 16)
x = -135/64
Therefore, the other number is -135/64.