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x+\frac{1}{10}=100
Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.
x=100-\frac{1}{10}
Subtract \frac{1}{10} from both sides.
x=\frac{1000}{10}-\frac{1}{10}
Convert 100 to fraction \frac{1000}{10}.
x=\frac{1000-1}{10}
Since \frac{1000}{10} and \frac{1}{10} have the same denominator, subtract them by subtracting their numerators.
x=\frac{999}{10}
Subtract 1 from 1000 to get 999.