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\frac{12}{\frac{8\times 2}{3\times 4}}
Multiply 3 and 4 to get 12.
\frac{12}{\frac{2\times 2}{3}}
Cancel out 4 in both numerator and denominator.
\frac{12}{\frac{4}{3}}
Multiply 2 and 2 to get 4.
12\times \frac{3}{4}
Divide 12 by \frac{4}{3} by multiplying 12 by the reciprocal of \frac{4}{3}.
\frac{12\times 3}{4}
Express 12\times \frac{3}{4} as a single fraction.
\frac{36}{4}
Multiply 12 and 3 to get 36.
9
Divide 36 by 4 to get 9.