Question

frances makes cord bracelets. she has $71\frac{1}{2}$ inches of cord. each bracelet uses $6\frac{5}{8}$ inches of cord. how many complete bracelets can frances make?

Explanation:

Step1: Convert mixed numbers to fractions

$71\frac{1}{2} = \frac{143}{2}$, $6\frac{5}{8} = \frac{53}{8}$

Step2: Set up division for total bracelets

$\text{Number of bracelets} = \frac{143}{2} \div \frac{53}{8}$

Step3: Rewrite division as multiplication

$\frac{143}{2} \times \frac{8}{53} = \frac{143 \times 4}{53} = \frac{572}{53}$

Step4: Calculate quotient and ignore remainder

$\frac{572}{53} \approx 10.79$; take the whole number part.

Answer:

10