Answer
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Step 1:I'll solve this fraction division problem step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Recall the rule for dividing fractions
- Flip the second fraction ($$\frac{1}{6}$$ becomes $$\frac{6}{1}$$)
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. This means we will: - Multiply these fractions
Step 3:: Rewrite the division as multiplication
\frac{1}{2} \div \frac{1}{6} = \frac{1}{2} \times \frac{6}{1}
Step 4:: Multiply the numerators and denominators
\frac{1 \times 6}{2 \times 1} = \frac{6}{2}
Step 5:: Simplify the fraction
\frac{6}{2} = 3
Final Answer
The solution is 3, which represents the result of dividing \frac{1}{2} by \frac{1}{6}.
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