The height of the wall is not given. So, in order to solve this question, it is necessary to assume that the wall is a square, otherwise there is no way to find its center.
To make the solution easier, we will convert the fractions into decimals. So, 3f1/8in = 3.125f, and 15f3/8in = 15.3.75f
But, assuming a square wall 15.375f by 15.375f, its center will be 15.375f ÷ 2 = 7.6875f from an edge
So, all that needs to be done is to place the center of the window at the center point of the wall. The center of the window will be 1.5625f from one of its edges.
A reasonable check can be made by using graph paper to draw a model of the installation.