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\frac{2\times 3}{4\times 3+2}
Divide 2 by \frac{4\times 3+2}{3} by multiplying 2 by the reciprocal of \frac{4\times 3+2}{3}.
\frac{6}{4\times 3+2}
Multiply 2 and 3 to get 6.
\frac{6}{12+2}
Multiply 4 and 3 to get 12.
\frac{6}{14}
Add 12 and 2 to get 14.
\frac{3}{7}
Reduce the fraction \frac{6}{14} to lowest terms by extracting and canceling out 2.