A drawing of a surfboard in a cataog shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/2 inch length on the drawing corresponds to 3/8 foot of actual length."

Answer

37/6 feet

Q: How many feet does 1 inch on the drawing correspond to in actual length? A: 1 inch on the drawing corresponds to 3/4 foot of actual length.
Q: How many feet does 1/9 inch on the drawing correspond to in actual length? A: 1/9 inch on the drawing corresponds to 3/4/18 = 1/24 foot of actual length.
Q: What is the total actual length of the surfboard? A: The total actual length of the surfboard is 8*3/4 + 4/9*3/8/1/24 = 6 + 1/6 = 37/6 feet.