To find out how many bracelets Sam can make, we need to divide the total length of cord he has by the length of cord needed for each bracelet.
First, let's convert 1 1/2 feet into an improper fraction:
\[ 1 \frac{1}{2} = \frac{3}{2} \text{ feet} \]
Next, we know that each bracelet requires \(\frac{1}{4}\) foot of cord. Now, we can set up the division:
\[ \text{Number of bracelets} = \frac{\text{Total length of cord}}{\text{Length of cord per bracelet}} = \frac{\frac{3}{2}}{\frac{1}{4}} \]
To divide fractions, we multiply by the reciprocal of the divisor:
\[ \frac{3}{2} \div \frac{1}{4} = \frac{3}{2} \times \frac{4}{1} = \frac{3 \times 4}{2 \times 1} = \frac{12}{2} = 6 \]
Therefore, Sam can make 6 bracelets.
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