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Step 1:I'll solve this step-by-step using the proper LaTeX formatting:
Step 2:: Identify the division problem
We need to divide $$\frac{3}{8}$$ by $$\frac{1}{2}
Step 3:: Recall the rule for dividing fractions
The reciprocal of $$\frac{1}{2}$$ is $$\frac{2}{1}$$ or simply 2.
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.
Step 4:: Multiply the fractions
\frac{3}{8} \div \frac{1}{2} = \frac{3}{8} \times 2
Step 5:: Multiply the numerators and denominators
\frac{3 \times 2}{8 \times 1} = \frac{6}{8}
Step 6:: Simplify the fraction
\frac{6}{8} = \frac{3}{4}$$ (divide both numerator and denominator by their greatest common factor, 2)
Final Answer
\frac{3}{4}
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