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\frac{8\times 3}{2\times 3+2}
Divide 8 by \frac{2\times 3+2}{3} by multiplying 8 by the reciprocal of \frac{2\times 3+2}{3}.
\frac{24}{2\times 3+2}
Multiply 8 and 3 to get 24.
\frac{24}{6+2}
Multiply 2 and 3 to get 6.
\frac{24}{8}
Add 6 and 2 to get 8.
3
Divide 24 by 8 to get 3.