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600\times \frac{3}{2}
Divide 600 by \frac{2}{3} by multiplying 600 by the reciprocal of \frac{2}{3}.
\frac{600\times 3}{2}
Express 600\times \frac{3}{2} as a single fraction.
\frac{1800}{2}
Multiply 600 and 3 to get 1800.
900
Divide 1800 by 2 to get 900.