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\frac{38\times 2}{7\times 2+1}
Divide 38 by \frac{7\times 2+1}{2} by multiplying 38 by the reciprocal of \frac{7\times 2+1}{2}.
\frac{76}{7\times 2+1}
Multiply 38 and 2 to get 76.
\frac{76}{14+1}
Multiply 7 and 2 to get 14.
\frac{76}{15}
Add 14 and 1 to get 15.