Sam has 13 1/2 yards of ribbon. He cuts the ribbon into pieces that measure 3/4 yard. What is the maximum number of pieces of ribbon Sam can cut that measure 3/4 yard?

18

Step-by-step explanation:

Number of pieces = Length of ribbon/Length of each piece

= (13½) : (¾)

Convert the mixed number to an improper fraction

No. = (²⁷/₂) : (¾)

Invert the proper fraction and change division to multiplication

No. = ²⁷/₂ * ⁴/₃

Cancel the 2s

No. = 27 * ⅔

Cancel the 3s

No. = 9 * 2

No. = 18

Sam can cut 18 pieces of ribbon.