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100\times \frac{100}{3}
Divide 100 by \frac{3}{100} by multiplying 100 by the reciprocal of \frac{3}{100}.
\frac{100\times 100}{3}
Express 100\times \frac{100}{3} as a single fraction.
\frac{10000}{3}
Multiply 100 and 100 to get 10000.