Jamar is trying to fit his encyclopedia on a shelf. Each book is 2 1/4 inch thick. The shelf is 2 1/4 feet wide. How many books will Jamar be able to fit
1 foot = 12 inches
2 1/4 feet = 27 inches
27 / 2.25 = 12 books
To find out how many books Jamar can fit on the shelf, we need to convert the measurements to the same unit. In this case, we should convert the thickness of the books to feet, since the width of the shelf is given in feet.
To convert inches to feet, we need to divide the number of inches by 12, since there are 12 inches in a foot.
So, let's convert the thickness of the books to feet:
2 1/4 inches = (2 + 1/4) inches = 9/4 inches = 9/4 ÷ 12 feet = 9/48 feet = 3/16 feet.
Now that we have the thickness of each book in feet, we can calculate the number of books Jamar can fit on the shelf by dividing the width of the shelf by the thickness of each book:
2 1/4 feet ÷ 3/16 feet = (9/4) ÷ (3/16) = 9/4 × 16/3 = (9 × 16) ÷ (4 × 3) = 144/12 = 12.
Therefore, Jamar will be able to fit 12 books on the shelf.