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?

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Answer:

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.

The maximum number of pieces of ribbon Sam can cut that measure 3/4 yard is 18

How to determine the maximum number of pieces

The length of the ribbon is given as:

Length = 13 1/2 yards

The length of each piece is given as:

Piece = 3/4 yard

The maximum number (n) of pieces of ribbon Sam can cut that measure 3/4 yard is:

n = 13 1/2 / 3/4

Express as decimals

n = 13.5 / 0.75

Divide

n = 18

Hence, the maximum number of pieces of ribbon Sam can cut that measure 3/4 yard is 18

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