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\frac{38\times 9}{2\times 9+1}
Divide 38 by \frac{2\times 9+1}{9} by multiplying 38 by the reciprocal of \frac{2\times 9+1}{9}.
\frac{342}{2\times 9+1}
Multiply 38 and 9 to get 342.
\frac{342}{18+1}
Multiply 2 and 9 to get 18.
\frac{342}{19}
Add 18 and 1 to get 19.
18
Divide 342 by 19 to get 18.