An architect makes a model of a new house. The model shows a tile patio in the backyard. In the​ model, each tile has length 2/3 in. and width 1/2 in. The actual tiles have length 1/2 ft and width 3/8 ft. What is the ratio of the length of a tile in the model to the length of an actual​ tile? What is the ratio of the area of a tile in the model to the area of an actual​ tile? The ratio of the length of a tile in the model to the length of an actual tile is ?.
​(Type the ratio as a simplified​ fraction.)