How many books that are 5/6 inches wide will fit on a shelf that is 15 inches long?

15/(5/6)

15 * (6/5) = 90/5 = 18

To determine the number of books that will fit on the shelf, you need to divide the length of the shelf by the width of each book. In this case, the width of each book is 5/6 inches, and the length of the shelf is 15 inches.

To perform the division, divide the length of the shelf by the width of the book:

15 inches ÷ (5/6 inches)

To divide by a fraction, multiply the numerator (top number) by the reciprocal of the denominator (bottom number):

15 inches × (6/5 inches)

Now, simplify the expression by cancelling out the common factors:

(15 × 6) inches ÷ 5 inches

Multiply:

90 inches ÷ 5 inches = 18

Therefore, you can fit 18 books that are 5/6 inches wide on a shelf that is 15 inches long.