Answer
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Step 1:I'll solve this problem step by step, carefully following the LaTeX formatting guidelines:
Step 2:: Identify the Problem
We need to divide the fraction $$\frac{5}{2}$$ by $$\frac{3}{1}$$.
Step 3:: Recall the Division Rule for Fractions
The division rule is: $$\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
Step 4:: Apply the Division Rule
\frac{5}{2} \div \frac{3}{1} = \frac{5}{2} \times \frac{1}{3}
Step 5:: Multiply the Fractions
= \frac{5 \times 1}{2 \times 3}
Step 6:: Simplify
= \frac{5}{6}
Final Answer
Note: The solution follows the standard fraction division process by multiplying the first fraction by the reciprocal of the second fraction, resulting in the simplified fraction \frac{5}{6}.
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