Problem

Divide.
\[
\frac{1}{2} \div \frac{3}{7}=
\]

Answer

Expert–verified
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Answer

\(\boxed{\frac{7}{6}}\)

Steps

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 :\(\boxed{\frac{7}{6}}\)

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