A bookshelf is 4-3/4 feet wide. How many 3-inch-wide books will fit on the shelf?
To find out how many 3-inch-wide books will fit on the shelf, we need to convert the width of the shelf from feet to inches.
There are 12 inches in 1 foot.
So, the width of the shelf in inches is 4.75 ft * 12 inches/ft = 57 inches.
Each book is 3 inches wide.
Therefore, the number of books that can fit on the shelf is 57 inches / 3 inches/book = <<57/3=19>>19 books. Answer: \boxed{19}.