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\frac{6\times 3}{5\times 3+1}
Divide 6 by \frac{5\times 3+1}{3} by multiplying 6 by the reciprocal of \frac{5\times 3+1}{3}.
\frac{18}{5\times 3+1}
Multiply 6 and 3 to get 18.
\frac{18}{15+1}
Multiply 5 and 3 to get 15.
\frac{18}{16}
Add 15 and 1 to get 16.
\frac{9}{8}
Reduce the fraction \frac{18}{16} to lowest terms by extracting and canceling out 2.