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Question
1 demarco has a piece of ribbon that is 6 yd long. he uses a piece that is 3 yd long. he cuts the rest into pieces that are each \\(\frac{3}{4}\\) yd long. how many \\(\frac{3}{4}\\)-yd pieces does demarco have? show your work.
Step1: Find the remaining length of the ribbon
The original length of the ribbon is 6 yd, and he uses 3 yd. So the remaining length is $6 - 3 = 3$ yd.
Step2: Calculate the number of $\frac{3}{4}$ yd pieces
To find the number of pieces, we divide the remaining length by the length of each piece. So we calculate $3\div\frac{3}{4}$. When dividing by a fraction, we multiply by its reciprocal, so $3\times\frac{4}{3} = 4$.
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Demarco has 4 pieces of $\frac{3}{4}$ yd long ribbon.