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