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\frac{9000}{\left(100-90\right)\times 9}\times 2
Express \frac{\frac{9000}{100-90}}{9} as a single fraction.
\frac{9000}{10\times 9}\times 2
Subtract 90 from 100 to get 10.
\frac{9000}{90}\times 2
Multiply 10 and 9 to get 90.
100\times 2
Divide 9000 by 90 to get 100.
200
Multiply 100 and 2 to get 200.