I have two half-inch gaps in the flooring in my kitchen. One between the kitchen and the living room (first image) and another between the kitchen and the outside door (second image)!
at their widest the gaps are an inch wide and about a half inch deep at the deepest. The tile on the kitchen to living room gap starts about a quarter of an inch higher than the threshold, and finishes about a quarter of an inch lower.
What is the best way to fill these gaps? I'm willing to live with some visual imperfections.