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\frac{3\times 6}{4\times 8}
Divide \frac{3}{4} by \frac{8}{6} by multiplying \frac{3}{4} by the reciprocal of \frac{8}{6}.
\frac{3\times 3}{2\times 8}
Cancel out 2 in both numerator and denominator.
\frac{9}{2\times 8}
Multiply 3 and 3 to get 9.
\frac{9}{16}
Multiply 2 and 8 to get 16.