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\frac{30\times 3}{100\times 2}
Divide \frac{30}{100} by \frac{2}{3} by multiplying \frac{30}{100} by the reciprocal of \frac{2}{3}.
\frac{3\times 3}{2\times 10}
Cancel out 10 in both numerator and denominator.
\frac{9}{2\times 10}
Multiply 3 and 3 to get 9.
\frac{9}{20}
Multiply 2 and 10 to get 20.