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x\times \frac{9}{10}=9900
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
x=9900\times \frac{10}{9}
Multiply both sides by \frac{10}{9}, the reciprocal of \frac{9}{10}.
x=\frac{9900\times 10}{9}
Express 9900\times \frac{10}{9} as a single fraction.
x=\frac{99000}{9}
Multiply 9900 and 10 to get 99000.
x=11000
Divide 99000 by 9 to get 11000.