A bookshelf is 4-3/4 feet wide. How many 3-inch-wide books will fit on the shelf?

14-1/4
17
18
19
none

1 answer

To determine how many 3-inch-wide books will fit on a bookshelf that is 4-3/4 feet wide, we first need to convert the shelf width from feet to inches.

  1. Convert feet to inches:

    • 1 foot = 12 inches
    • 4-3/4 feet = 4 feet + 3/4 feet
    • 4 feet = 4 × 12 = 48 inches
    • 3/4 feet = 3/4 × 12 = 9 inches
    • Thus, 4-3/4 feet = 48 inches + 9 inches = 57 inches
  2. Calculate the number of books:

    • Width of each book = 3 inches
    • To find the number of books that fit on the shelf, divide the total width of the shelf by the width of one book: \[ \text{Number of books} = \frac{57 \text{ inches}}{3 \text{ inches/book}} = 19 \]

Thus, 19 books will fit on the shelf. The answer is 19.