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\frac{7}{2\left(2\times 7+3\right)}
Divide \frac{1}{2} by \frac{2\times 7+3}{7} by multiplying \frac{1}{2} by the reciprocal of \frac{2\times 7+3}{7}.
\frac{7}{2\left(14+3\right)}
Multiply 2 and 7 to get 14.
\frac{7}{2\times 17}
Add 14 and 3 to get 17.
\frac{7}{34}
Multiply 2 and 17 to get 34.