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\frac{30\times 100}{100\times 90}\times 100
Divide \frac{30}{100} by \frac{90}{100} by multiplying \frac{30}{100} by the reciprocal of \frac{90}{100}.
\frac{1}{3}\times 100
Cancel out 3\times 10\times 10\times 10 in both numerator and denominator.
\frac{100}{3}
Multiply \frac{1}{3} and 100 to get \frac{100}{3}.