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susan split \\(\frac{7}{8}\\) pounds of candy among 6 people. what is t…

Question

susan split \\(\frac{7}{8}\\) pounds of candy among 6 people. what is the unit rate in pounds per person? write your answer in simplest form.

Explanation:

Step1: Define division for unit rate

To find pounds per person, divide total candy by number of people:
$\frac{7}{8} \div 6$

Step2: Rewrite division as multiplication

Dividing by 6 is multiplying by its reciprocal $\frac{1}{6}$:
$\frac{7}{8} \times \frac{1}{6}$

Step3: Multiply numerators and denominators

Multiply top terms and bottom terms separately:
$\frac{7 \times 1}{8 \times 6} = \frac{7}{48}$

Answer:

$\frac{7}{48}$ pounds per person