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\frac{6\times 3}{3\times 3+1}
Divide 6 by \frac{3\times 3+1}{3} by multiplying 6 by the reciprocal of \frac{3\times 3+1}{3}.
\frac{18}{3\times 3+1}
Multiply 6 and 3 to get 18.
\frac{18}{9+1}
Multiply 3 and 3 to get 9.
\frac{18}{10}
Add 9 and 1 to get 10.
\frac{9}{5}
Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.