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m=\frac{8}{9}\times \frac{3}{2}
Multiply both sides by \frac{3}{2}, the reciprocal of \frac{2}{3}.
m=\frac{8\times 3}{9\times 2}
Multiply \frac{8}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.
m=\frac{24}{18}
Do the multiplications in the fraction \frac{8\times 3}{9\times 2}.
m=\frac{4}{3}
Reduce the fraction \frac{24}{18} to lowest terms by extracting and canceling out 6.