Divide.
\[
\frac{1}{2} \div \frac{3}{7}=
\]
\(\boxed{\frac{7}{6}}\)
Step 1 :Find the reciprocal of the second fraction: \(\frac{3}{7} \rightarrow \frac{7}{3}\)
Step 2 :Multiply the first fraction by the reciprocal of the second fraction: \(\frac{1}{2} \times \frac{7}{3} = \frac{1 \times 7}{2 \times 3}\)
Step 3 :Simplify the result: \(\frac{7}{6}\)
Step 4 :\(\boxed{\frac{7}{6}}\)