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\frac{100}{9\times 100}\times 1800
Express \frac{\frac{100}{9}}{100} as a single fraction.
\frac{1}{9}\times 1800
Cancel out 100 in both numerator and denominator.
\frac{1800}{9}
Multiply \frac{1}{9} and 1800 to get \frac{1800}{9}.
200
Divide 1800 by 9 to get 200.