I am Mr. Koech from Egerton University. I am finding it hard to do the conversion from UTM to decimal degrees to latitude and longitude. Your indulgence in this will be of great help to me.
The math is really quite cumbersome. If you wish to write your own computer program, you need Redfearn's equations. These are pretty well described in an Australian Geodetic Survey manual available on the web. It involves a series expansion of the ellipsoid model of the earth and requires iterative solutions. (After reading it, I concluded I WASN'T writing my own routine.)