To determine how many bracelets Sam can make with 1 1/2 feet of cord when each bracelet requires 1/4 foot, we can follow these steps:
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Convert \(1 \frac{1}{2}\) feet to an improper fraction: \[ 1 \frac{1}{2} = \frac{3}{2} \text{ feet} \]
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Divide the total length of cord by the length needed for each bracelet: \[ \text{Number of bracelets} = \frac{\frac{3}{2}}{\frac{1}{4}} \]
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To divide fractions, multiply by the reciprocal: \[ \frac{3}{2} \div \frac{1}{4} = \frac{3}{2} \times \frac{4}{1} = \frac{3 \times 4}{2 \times 1} = \frac{12}{2} = 6 \]
Therefore, Sam can make 6 bracelets.