Final answer:
Amy can cut 5 pieces that are 1 1/5 inches long from a 6 3/4-inch piece of plastic. She will have 0.92 inches of plastic leftover.
Step-by-step explanation:
To determine how many 1 1/5 inch pieces Amy can cut from a plastic piece that is 6 3/4 inches long, we need to divide the length of the plastic by the length of each piece.
6 3/4 ÷ 1 1/5 = 6.75 ÷ 1.1667 = 5.77 (rounded to the nearest whole number)
Therefore, Amy can cut 5 pieces that are 1 1/5 inches long from the plastic.
To find the leftover plastic, we need to subtract the total length of the cut pieces from the original length of the plastic.
6 3/4 - (5 × 1 1/5) = 6.75 - (5 × 1.1667) = 6.75 - 5.83 = 0.92 inches
Therefore, Amy will have 0.92 inches of plastic leftover.