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\frac{9}{10}x=45
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
x=45\times \frac{10}{9}
Multiply both sides by \frac{10}{9}, the reciprocal of \frac{9}{10}.
x=\frac{45\times 10}{9}
Express 45\times \frac{10}{9} as a single fraction.
x=\frac{450}{9}
Multiply 45 and 10 to get 450.
x=50
Divide 450 by 9 to get 50.