To compute \( \frac{18}{23} \div \frac{1}{2} \), we can rewrite the division as multiplication by the reciprocal:
\[ \frac{18}{23} \div \frac{1}{2} = \frac{18}{23} \times \frac{2}{1} \]
Now, multiply the fractions:
\[ \frac{18 \times 2}{23 \times 1} = \frac{36}{23} \]
Now, let's check if \( \frac{36}{23} \) can be simplified. Since 36 and 23 have no common factors (23 is a prime number and does not divide 36), the fraction is already in its simplest form.
Thus, the final answer is:
\[ \frac{36}{23} \]
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