This is my first post but I am in need of help. I will be transitioning from a slate tile floor to a hardwood oak floor. the transition will most likely be over 1/2 inch but less than 3/4. the slate entryway will obviously be the higher elevation. I am unfamiliar with transitioning from one height to a drastically different one and was wondering what I should do.

Since this is an entryway in a house from 1948, the front porch was poured literally to the inside wall. There was a threshold there so you couldn't tell but now just like the hardwood floors I will be needing to transition down to the porch as well.

What to do. what to do. thanks so much for any help in advance.

I had a similar situation although not that large a height difference. I made T molding that had one edge thicker than the other by the amount of the difference in the floor heights. You could put a reducer against the slate with a grout line. If the slate edge would look better covered you could rabbet the edge of the reducer to fit over the slate. You probably want the edge that overlaps the slate and the opposite edge that sits on the hardwood to be about 1/4" thick. The molding should slope down at about a 15 degree angle so you'd have to figure out how wide the molding would have to be to get have a 15 degree angle and a 1/4 inch thickness at the edge(s).

Following the comment above is a good idea, especially using the tip about the T molding with a grout line. Don't be shocked if the transition is not 100% smooth as this is common. The closest you can get to it though, the better.