Ethan writes the ratio x8=y16 to help him reduce the size of a two-dimensional shape. If the new value of y is 3 units, what will be the value of x?

To find the value of x, we can set up a proportion using the ratio given:

x/8 = 3/16

Cross multiply to solve for x:

16x = 24
x = 24/16
x = 1.5

Therefore, the value of x is 1.5 units.